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Name: Donna Lewis Module 2 Homework Assignment 1.) 459 randomly selected light bulbs were tested in a laboratory, 291 lasted more than 500 hours. Find a point estimate of the true proportion of all light bulbs that last more than 500 hours. Solution: 291/459 = 0.63 The point estimate of the true proportion of all light bulbs that lasted more than 500 hours would be 0.63 Instructor Comments: 2.) Find the critical value for zα/2 that corresponds to a degree of confidence of 98%. Solution: 1-.98=.02 This is α-level, or the total area on the graph that is not covered by the 98% confidence level. .02÷2=.01 Since it is a α/2, divide the .02 between the two tails of the graph. invNorm(.01)= 2.33 zα/2 = 2.33 Instructor Comments: 3.) Find the critical value for tα/2 corresponding to n = 12 and 95% confidence level. Solution: t = x- S √n Instructor Comments: 4.) Use the confidence level and sample data to find the margin of error E. College students’ annual earnings: 99% confidence, n = 74, = $3967, s = $874 Solution: Instructor Comments: 5.) Construct the confidence interval for question 4 above. Solution: Instructor Comments: 6.) Write a statement that correctly interprets the confidence interval found in question 5. Solution: Instructor Comments: 7.) Find the critical value corresponding to a sample size of 19 and a confidence level of 99%. Solution: Instructor Comments: 8.) Find the critical value corresponding to a sample size of 19 and a confidence level of 99%. Solution: Instructor Comments: 9.) The values listed below are the waiting times (in minutes) of customers at the Bank of Providence, where customers enter any one of three different lines that have formed at three teller windows. Construct a 95% confidence interval for the population standard deviation and write a statement that correctly interprets the results. 4.2 5.4 5.8 6.2 6.7 7.7 8.5 9.3 10.0 Solution: Instructor Comments: 10.) You want to estimate for the population of waiting times at a fast-food restaurant’s drive-up windows, and you want to be 95% confident that the sample standard deviation is within 20% of . Find the minimum sample size needed. Is this sample size practical? Solution: Instructor Comments:

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