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I will send u my test tomorrow moning and you need to solve the 6 problems in 85 min on a clean paper. below is the review and the key of the review

Keiko has 6 more red tiles than yellow tiles. She gave half of her red tiles to Amelia and half of her yellow tiles to Ramon. If Ramon has 7 yellow tiles, how many tiles does Keiko have now?

  1.  (10 points) A random pool of 1200 loan applicants, attending four-year public or private colleges and universities was analyzed.  The sample of applicants carried an average credit card balance of $3173.  The median balance was $1645 so this distribution is skewed but because our sample size is quite large, we can rely on the central limit theorem to assure us that the confidence interval based on the normal distribution.  Assume the standard deviation for the population is $3500.  Compute a 95% confidence interval for the true mean credit card balance among all undergraduate loan applicants.   2. (5 points)  A dual-energy X-ray absorptiometry (DXA) scanner is used measure bone mineral density for people who may be at risk for osteoporosis.  To ensure its accuracy, the company uses an object called a “phantom” that has known mineral density ?=1.4 grams per square centimeter.  Once installed, the company scans the phantom 10 times and compares the sample mean reading with the theoretical mean ? using a significance test.  State the null and alternative hypotheses for this test.   3.  (10 points) Compute the test statistic and P-value.  Ho: ?=25 base on a random sample of n=36.  Assume ?=5. a) If Xbar (mean) = 27, what is the test statistic z? b) What is the P-value if Ha: ? > 25? c) What is the P-value if Ha: ??25?      4.  (10 points) A driver recorded the mpg by dividing the miles driven by the number of gallons at each fill-up.  The following data are the differences between the computer’s and the driver’s calculations for a random sample of 20 records.  The driver wants to determine if these calculations are different.  Assume the standard deviation of a difference to be ?= 3.0.  5.0 6.5 -0.6 1.7 3.7 4.5 8.0 2.2 4.9 3.0 4.4 0.1 3.0 1.1 1.1 5.0 2.1 3.7 -0.6 -4.2 a) State the appropriate Ho and Ha to test. b) Calculate the test.  Give the P-value, and then interpret the result in plain language.   5.  (10 points) According to data from the Tobacco Institute testing Laboratory, Camel Lights king size cigarettes contain an average of 0.9 milligrams of nicotine.  An advocacy group commissions an independent test to see if the mean nicotine content is higher than the industry laboratory claims. a) State the appropriate Ho and Ha. b) Suppose that the test statistic is z=1.83.  Is the result significant at the 5% level? c) Is the result significant at the 1% level?               6. (15 points)   You want to compare the daily number hits for two different MySpace page designs that advertise your band.  You assign the next 30 days to either design A or design B, 15 days to each. a) Would you use a one-sided or two-sided significance test for this study?  Explain your choice. b) If you use a table to fine the critical value, what are the degrees of freedom using the second approximation? c)  If you perform the significance test using ?=0.05, how large (positive or negative) must the t statistic be to reject the null hypothesis that the two designs result in the same average hits? d) If the t statistic =2.45, what p-value would you report?  e)  What would you conclude using ?=0.05?   7.  (20 points) The “misery is not miserly” phenomenon refers to a person’s spending judgment going haywire when sad.  In a recent study, 31 young adults were given $10 and randomly assigned to either a sad or neutral group.  The participants in the sad group watched sad movie and those in the neutral group watched a video on the Great Barrier Reef.  After the video, each participant was offered the chance to trade $0.50 increments of the $10 for an insulated water bottle.  Data is listed below. Group Price Group Price S 1.00 N 0.00 S 2.50 N 1.00 S 3.00 N 2.00 S 4.00 N 0.00 S 1.00 N 0.00 S 1.50 N 0.00 S 4.00 N 1.00 S 1.00 N 2.00 S 1.50 N 0.00 S 3.50 N 0.00 S 0.50 N 0.50 S 3.00 N 1.00 S 1.50 N 0.00 S 2.00 N 0.50 S 0.00     S 3.50   S 2.50     a) Make a table with sample size, mean, and standard deviation for each of the two groups. b) State the appropriate null and alternative hypothesis for comparing these two groups. c) Perform the significance test at the ? = 0.05 level, making sure to report the test statistic, degrees of freedom, and p-value.  What is your conclusion? d) construct a 95% confidence interval for the mean difference in purchase price between the two groups.   8. (20 points) As part of the study on ongoing fright symptoms due to exposure to horror movies at a young age, the following table was presented to describe the lasting impact these movies have had during bedtime and waking life:    Bedtime Waking Count Yes Yes 36 Yes No 33 No Yes 33 No No 17 a. What percent of the students have lasting waking-life symptoms? b. What percent if the students have both waking-life and bedtime symptoms?   c. Test whether there is an association between waking-life and bedtime symptoms.  State the null and alternative hypotheses, the ?2 statistic, and the p-value.

    Question 1 of 20 1.0 Points     Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.  Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.  For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.  A sample of 40 country CD recordings of Willie Nelson has been examined. The average playing time of these recordings is 51.3 minutes, and the standard deviation is s = 5.8 minutes. Using an appropriate t-multiplier, construct a 95% confidence interval for the mean playing time of all Willie Nelson recordings. Place your LOWER limit, in minutes, rounded to 2 decimal places, in the first blank. For example, 56.78 would be a legitimate entry. [removed] . Place your UPPER limit, in minutes, rounded to 2 decimal places, in the second blank. For example, 67.89 would be a legitimate entry. [removed]  Question 2 of 20 1.0 Points     Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.  Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.  For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.  A lawyer researched the average number of years served by 45 different justices on the Supreme Court. The average number of years served was 13.8 years with a standard deviation of 7.3 years. What is the 95% confidence interval estimate for the average number of years served by all Supreme Court justices? Place your limits, rounded to 1 decimal place, in the blanks. Place you lower limit in the first blank. [removed]  Place your upper limit in the second blank.  [removed] When entering your answer do not use any labels or symbols. Simply provide the numerical value. For example, 12.3 would be a legitimate entry.  Question 3 of 20 1.0 Points     Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.  Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.  For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.  The personnel department of a large corporation wants to estimate the family dental expenses of its employees to determine the feasibility of providing a dental insurance plan. A random sample of 12 employees reveals the following family dental expenses (in dollars): 115, 370, 250, 593, 540, 225, 177, 425, 318, 182, 275, and 228.  Construct a 90% confidence interval estimate for the standard deviation of family dental expenses for all employees of this corporation.  Place your LOWER limit, in dollars rounded to 1 decimal place, in the first blank. Do not use a dollar sign, a comma, or any other stray mark. For example, 123.4 would be a legitimate entry. [removed]  Place your UPPER limit, in dollars rounded to 1 decimal place, in the second blank. Do not use a dollar sign, a comma, or any other stray mark. For example, 567.8 would be a legitimate entry. [removed]  Question 4 of 20 1.0 Points     Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.  Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.  For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.  The personnel department of a large corporation wants to estimate the family dental expenses of its employees to determine the feasibility of providing a dental insurance plan. A random sample of 12 employees reveals the following family dental expenses (in dollars): 115, 370, 250, 593, 540, 225, 177, 425, 318, 182, 275, and 228.  Construct a 95% confidence interval estimate for the standard deviation of family dental expenses for all employees of this corporation.  Place your LOWER limit, in dollars rounded to 1 decimal place, in the first blank. Do not use a dollar sign, a comma, or any other stray mark. For example, 123.4 would be a legitimate entry. [removed]  Place your UPPER limit, in dollars rounded to 1 decimal place, in the second blank. Do not use a dollar sign, a comma, or any other stray mark. For example, 567.8 would be a legitimate entry. [removed]  Question 5 of 20 1.0 Points     Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.  Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.  For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.  Senior management of a consulting services firm is concerned about a growing decline in the firm’s weekly number of billable hours. The firm expects each professional employee to spend at least 40 hours per week on work. In an effort to understand this problem better, management would like to estimate the standard deviation of the number of hours their employees spend on work-related activities in a typical week. Rather than reviewing the records of all the firm’s full-time employees, the management randomly selected a sample of size 51 from the available frame. The sample mean and sample standard deviations were 48.5 and 7.5 hours, respectively.  Construct a 99% confidence interval for the standard deviation of the number of hours this firm’s employees spend on work-related activities in a typical week.  Place your LOWER limit, in hours, rounded to 1 decimal place, in the first blank. For example, 6.7 would be a legitimate entry. [removed]  Place your UPPER limit, in hours, rounded to 1 decimal place, in the second blank. For example, 12.3 would be a legitimate entry. [removed]  Question 6 of 20 1.0 Points     Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.  Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.  For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.  The percent defective for parts produced by a manufacturing process is targeted at 4%. The process is monitored daily by taking samples of sizes n = 160 units. Suppose that today’s sample contains 14 defectives.  How many units would have to be sampled to be 95% confident that you can estimate the fraction of defective parts within 2% (using the information from today’s sample--that is using the result that   ^p = 0.0875)? Place your answer, as a whole number, in the blank.  For example 567 would be a legitimate entry.  [removed]  Question 7 of 20 1.0 Points     Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.  Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.  For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.  The manufacturer of a new compact car claims the miles per gallon (mpg) for the gasoline consumption is mound-shaped and symmetric with a mean of 24.6 mpg and a standard deviation of 11.2 mpg.  If 30 such cars are tested, what is the probability the average mpg achieved by these 30 cars will be greater than 27?  Answer:   [removed]  Round your answer to 4 decimal places as necessary.  For example, 0.1357 would be a legitimate entry.  Part 2 of 3 -   Question 8 of 20 1.0 Points A food snack manufacturer samples 15 bags of pretzels off the assembly line and weighed their contents. If the sample mean is 10.0 and the sample standard deviation is 0.15, find the 95% confidence interval estimate for the true mean.     [removed] A.(9.96, 10.04)   [removed] B.(9.68, 10.32)   [removed] C.(9.97, 10.80)   [removed] D.(9.92, 10.08)   Question 9 of 20 1.0 Points The t- distribution for developing a confidence interval for a mean has _____ degrees of freedom.     [removed] A.n - 1   [removed] B.n - 2   [removed] C.n   [removed] D.n + 1   Question 10 of 20 1.0 Points Which of the following will make a confidence interval narrower and more precise?     [removed] A.Smaller sample size and lower confidence level   [removed] B.Larger sample size and higher confidence level   [removed] C.Smaller sample size and higher confidence level   [removed] D.Larger sample size and lower confidence level   Question 11 of 20 1.0 Points A researcher wishes to know, with 98% confidence, the percentage of women who wear shoes that are too small for their feet. A previous study conducted by the Academy of Orthopedic Surgeons found that 80% of women wear shoes that are too small for their feet. If the researcher wants her estimate to be within 3% of the true proportion, how large a sample is necessary?     [removed] A.966   [removed] B.683   [removed] C.183   [removed] D.484   Question 12 of 20 1.0 Points A recent study of 750 Internet users in Europe found that 35% of Internet users were women. What is the 95% confidence interval estimate for the true proportion of women in Europe who use the Internet?     [removed] A.0.321 < p < 0.379   [removed] B.0.316 < p < 0.384   [removed] C.0.309 < p < 0.391   [removed] D.0.305 < p < 0.395   Question 13 of 20 1.0 Points At a large department store, the average number of years of employment for a cashier is 5.7 with a standard deviation of 1.8 years. If the number of years of employment at this department store is normally distributed, what is the probability that a cashier selected at random has worked at the store for over 10 years?     [removed] A.0.4916   [removed] B.0.9916   [removed] C.0.0084   [removed] D.0.0054   Question 14 of 20 1.0 Points A previous study of nickels showed that the standard deviation of the weight of nickels is 150 milligrams. How many nickels does a coin counter manufacturer need to weigh so that she can be 98% confident that her sample mean is within 25 milligrams of the true average weight of a nickel?     [removed] A.36   [removed] B.196   [removed] C.239   [removed] D.139   Question 15 of 20 1.0 Points If you increase the confidence level, the confidence interval ____________.     [removed] A.decreases   [removed] B.may increase or decrease, depending on the sample data   [removed] C.increases   [removed] D.stays the same   Question 16 of 20 1.0 Points Compute P( t20 _< - 0.95)   where t20 has a t-distribution with 20 degrees of freedom.     [removed] A.0.5334   [removed] B.0.1767   [removed] C.0.8233   [removed] D.0.6466   Question 17 of 20 1.0 Points In a study of elephants a researcher wishes to determine the average weight of a certain subspecies of elephants. From previous studies, the standard deviation of the weights of elephants in this subspecies is known to be 1500 pounds. How many elephants does the researcher need to weigh so that he can be 80% confident that the average weight of elephants in his sample is within 350 pounds of the true average weight for this subspecies?     [removed] A.166   [removed] B.31   [removed] C.50   [removed] D.39   Question 18 of 20 1.0 Points         In order to be accepted into a top university, applicants must score within the top 5% on the SAT exam. Given that SAT test scores are normally distributed with a mean of 1000 and a standard deviation of 200, what is the lowest possible score a student needs to qualify for acceptance into the university?     [removed] A.1330   [removed] B.1400   [removed] C.1250   [removed] D.1100   Part 3 of 3 -   Question 19 of 20 1.0 Points A 90% confidence interval estimate for a population mean is determined to be 72.8 to 79.6. If the confidence level is reduced to 80%, the confidence interval becomes narrower.     [removed] True [removed] False Question 20 of 20 1.0 Points In general, increasing the confidence level will narrow the confidence interval, and decreasing the confidence level widens the interval.     [removed] True [removed] False       Number 6 and 16 I could not properly inset the symbol. Contact me if a confusion occur.   

start at 5 create a pattern that multiplies each number by three and subtracts 2 dont stop until you get to five

Details Create a number trick that always ends with number of siblings you have or anyone else has. Use at least three different operations and at least four steps. Test your number trick at least 3 times to show that it works. Use deductive reasoning to develop a proof of your conjecture. Is there a number that will not work in your number trick? Explain. Here is an example: Statement Test 2 siblings 0 siblings Deductive Reasoning The number of siblings that you have 2 0 x Add 8 10 8 x+8 Multiply by 4 40 32 4x+32 Subtract 12 28 20 4x+20 Divide by 2 14 10 2x+10 Subtract 10 4 0 2x Divide by 2 2 0 x    

Question 1 of 20 0.0/ 5.0 Points Halley's comet has an elliptical orbit with the sun at one focus. Its orbit shown below is given approximately by In the formula, r is measured in astronomical units. (One astronomical unit is the average distance from Earth to the sun, approximately 93 million miles.) Find the distance from Halley's comet to the sun at its greatest distance from the sun. Round to the nearest hundredth of an astronomical unit and the nearest million miles. A. 12.13 astronomical units; 1128 million miles   B. 91.54 astronomical units; 8513 million miles   C. 5.69 astronomical units; 529 million miles   D. 6.06 astronomical units; 564 million miles   Question 2 of 20 0.0/ 5.0 Points Use the center, vertices, and asymptotes to graph the hyperbola. (x - 1)2 - 9(y - 2)2= 9 A.   B.   C.   D.   Question 3 of 20 0.0/ 5.0 Points Find the standard form of the equation of the ellipse and give the location of its foci. A. + = 1 foci at (- , 0) and ( , 0)   B. - = 1 foci at (- , 0) and ( , 0)   C. + = 1 foci at (- , 0) and ( , 0)   D. + = 1 foci at (-7, 0) and ( 7, 0)   Question 4 of 20 0.0/ 5.0 Points Rewrite the equation in a rotated x'y'-system without an x'y' term. Express the equation involving x' and y' in the standard form of a conic section. 31x2 + 10xy + 21y2-144 = 0 A. x'2 = -4 y'   B. y'2 = -4x'   C. + = 1   D. + = 1   Question 5 of 20 0.0/ 5.0 Points Find the standard form of the equation of the ellipse satisfying the given conditions. Foci: (0, -2), (0, 2); y-intercepts: -5 and 5 A. + = 1   B. + = 1   C. + = 1   D. + = 1   Question 6 of 20 0.0/ 5.0 Points Find the vertices and locate the foci for the hyperbola whose equation is given. 49x2 - 100y2= 4900 A. vertices: ( -10, 0), ( 10, 0) foci: (- , 0), ( , 0)   B. vertices: ( -10, 0), ( 10, 0) foci: (- , 0), ( , 0)   C. vertices: ( -7, 0), ( 7, 0) foci: (- , 0), ( , 0)   D. vertices: (0, -10), (0, 10) foci: (0, - ), (0, )   Question 7 of 20 5.0/ 5.0 Points Write the equation in terms of a rotated x'y'-system using ?, the angle of rotation. Write the equation involving x' and y' in standard form. xy +16 = 0; ? = 45° A. +  = 1   B. y'2 = -32x'   C. + = 1   D. - = 1   Question 8 of 20 0.0/ 5.0 Points Write the appropriate rotation formulas so that in a rotated system the equation has no x'y'-term. 10x2 - 4xy + 6y2- 8x + 8y = 0 A. x = -y'; y = x'   B. x = x' - y'; y = x' + y'   C. x = (x' - y'); y = (x' + y')   D. x = x' - y'; y = x' + y'   Question 9 of 20 0.0/ 5.0 Points Find the location of the center, vertices, and foci for the hyperbola described by the equation. - = 1 A. Center: ( -4, 1); Vertices: ( -10, 1) and ( 2, 1); Foci: and (   B. Center: ( -4, 1); Vertices: ( -9, 1) and ( 3, 1); Foci: ( -3 + , 2) and ( 2 + , 2)   C. Center: ( -4, 1); Vertices: ( -10, -1) and ( 2, -1); Foci: ( -4 - , -1) and ( -4 + , -1)   D. Center: ( 4, -1); Vertices: ( -2, -1) and ( 10, -1); Foci: and   Question 10 of 20 0.0/ 5.0 Points Sketch the plane curve represented by the given parametric equations. Then use interval notation to give the relation's domain and range. x = 2t, y = t2+ t + 3 A. Domain: (-?, ?); Range: -1x, ?)   B. Domain: (-?, ?); Range: [ 2.75, ?)   C. Domain: (-?, ?); Range: [ 3, ?)   D. Domain: (-?, ?); Range: [ 2.75, ?)   Question 11 of 20 0.0/ 5.0 Points Use vertices and asymptotes to graph the hyperbola. Find the equations of the asymptotes. y = ± A. Asymptotes: y = ± x   B. Asymptotes: y = ± x   C. Asymptotes: y = ± x   D. Asymptotes: y = ± x   Question 12 of 20 0.0/ 5.0 Points Graph the ellipse. 16(x - 1)2 + 9(y + 2)2= 144 A.   B.   C.   D.   Question 13 of 20 0.0/ 5.0 Points Is the relation a function? y = x2+ 12x + 31 A. Yes   B. No   Question 14 of 20 5.0/ 5.0 Points Determine the direction in which the parabola opens, and the vertex. y2= + 6x + 14 A. Opens upward; ( -3, 5)   B. Opens upward; ( 3, 5)   C. Opens to the right; ( 5, 3)   D. Opens to the right; ( 5, -3)   Question 15 of 20 0.0/ 5.0 Points Match the equation to the graph. x2= 7y A.   B.   C.   D.   Question 16 of 20 0.0/ 5.0 Points y2= -2x A.   B.   C.   D.   Question 17 of 20 0.0/ 5.0 Points Convert the equation to the standard form for a hyperbola by completing the square on x and y. x2 - y2+ 6x - 4y + 4 = 0 A. (x + 3)2 + (y + 2)2 = 1   B. - = 1   C. (x + 3)2 - (y + 2)2 = 1   D. (y + 3)2- (x + 2)2 = 1   Question 18 of 20 0.0/ 5.0 Points Eliminate the parameter t. Find a rectangular equation for the plane curve defined by the parametric equations. x = 6 cos t, y = 6 sin t; 0 ? t ? 2? A. x2 - y2 = 6; -6 ? x ? 6   B. x2 - y2 = 36; -6 ? x ? 6   C. x2 + y2 = 6; -6 ? x ? 6   D. x2 + y2 = 36; -6 ? x ? 6   Question 19 of 20 5.0/ 5.0 Points Convert the equation to the standard form for a parabola by completing the square on x or y as appropriate. y2+ 2y - 2x - 3 = 0 A. (y + 1)2 = 2(x + 2)   B. (y - 1)2 = -2(x + 2)   C. (y + 1)2 = 2(x - 2)   D. (y - 1)2 = 2(x + 2)   Question 20 of 20 0.0/ 5.0 Points Convert the equation to the standard form for a hyperbola by completing the square on x and y. y2 - 25x2+ 4y + 50x - 46 = 0 A. - (x - 2)2 = 1   B. - (y - 1)2 = 1   C. (x - 1)2 - = 1   D. - (x - 1)2 = 1  

This Weeks’ Statistical Technique for Review – Analysis of Variance (ANOVA) FULL DETAILS ATTACHED BELOW....   "THE 9 QUESTIONS NEED TO BE ANSWERED ACCORDING TO THE CASE STUDY"