# Assume that the normallarge sample condition is met 4

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Find the critical value z* for a 98% confidence interval. Assume that the Normal/Large Sample condition is met. 4. Find the critical value of t* for a 99% confidence interval with n = 45. Assume that the Large Counts condition is met. 5. What proportion of students are willing to report cheating by other students? A student project put this question to an SRS of 182 undergraduates at a large university: “You witness two students cheating on a quiz. Do you go to the professor?” Only 23 answered “Yes.” a. What parameter do you want to estimate, and at what confidence level? b. What inference method will you be using? Check the conditions. c. What is your 97% C.I.? d. Interpret the C.I. in the context of the problem. e. Is it plausible that the proportion of students willing to report cheating is .13? Explain. 6. A bunion on the big toe is fairly uncommon in youth and often requires surgery. Doctors used X-rays to measure the angle (in degrees) of deformity on the big toe in a random sample of 39 patients under the age of 21 who came to medical center for surgery to correct a bunion. The angle is a measure of the seriousness of the deformity. For these 39 patients, the mean angle of deformity was 24.66 degrees and the standard deviation was 6.24 degrees. A

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