JWitte_Module02_Week2Assignment_101516.docx

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Name:_Elizabeth Witte_______________________________ 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: .063 The point of estimate can be found by taking: 291 / 459 = .063 Instructor Comments: 2.) Find the critical value for z α/2 that corresponds to a degree of confidence of 98%. Solution: z α/2 = 2.32 Critical Value found on the distribution table can be found by taking: -2.3 - 0.2= -2.32 * The parabola has a .01 on each tail due to the 1% Instructor Comments: 3.) Find the critical value for t α/2 corresponding to n = 12 and 95% confidence level. Solution: t=2.201 The solution is found by taking the below: 1 - .95 = .05 .05/2 = .025 df (degree freedom) = 12-1 = 11 t.025, 11df = 2.201 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, x = $3967, s = $874
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Solution: $262 This solution can be found by the below: x = z α/2 / √n 3967 = 2.58 x 874/√74 = 262.129
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