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# samqu4 - (c Cannot tell whether to accept or reject at the...

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STA 2023 Sample QUIZ 4 Name: SSN: Quiz 1 Quiz 2 Quiz 3 Quiz 4 Quiz Total Exam 1 Exam 2 Total Points Information that may be useful Parameter Estimator Standard Error of Est. μ x σ n p ˆ p = x n r pq n INSTRUCTIONS : Show all of your work when you answer a question. Place a box around your final answer. 1. In order to better understand a metal stamping process, a manufacturer wants to estimate the mean length of items produced by the process. Suppose that the standard deviation of lengths of items produced by the process is .2 millimeters (mm). How many items should be measured if we want to estimate the population mean to within .1 mm with 90% confidence? SET UP the calculations to determine the necessary sample size. (Plug in ALL numbers, but do no calculations.) (6 pts) 1

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2. A 98% confidence interval for μ is (4 . 76 , 8 . 29). Someone claims that μ < 10.Select the most appropriate answer from those given below. (2 pts) (a) Accept the claim at the 98% confidence level. (b) Reject the claim at the 98% confidence level.
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Unformatted text preview: (c) Cannot tell whether to accept or reject at the 98% conﬁdence level. Clearly indicate WHY you chose the answer you did. (3 pts) 3. The mean response time to a stimulus for rats not injected with a drug is 1 . 2 seconds. A research neurologist wishes to test whether the mean response time for injected rats diFers from 1 . 2 and has performed a test of the hypotheses H o : μ = 1 . 2 H a : μ 6 = 1 . 2 based on a sample of size n = 80. We did all of the calculations and obtained the value of the test statistic to be z =-1 . 83. (a) What is the attained signiﬁcance level (the p-value) associated with our test? (3 pts) (b) If we were interested in performing an α = . 05 level test, what is the appropriate conclusion? WHY? Base your answer on the answer that you obtained in part (a). (3 pts) (c) IN TERMS O± THIS PROBLEM, describe a Type I error. (3 pts) 2...
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