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Unformatted text preview: SAMPLE MIDTERM II ISyE 2028 Instructor Nicoleta Serban Tuesday, November 8th 2011. 1 A sample of 30 data observations has a sample mean ¯ x = 14 . 62 and a sample standard deviation s = 2 . 98. Find the value of c for which μ ∈ ( ∞ , c ) is a one-sided 95% t-interval for the population mean μ . Is it plausible that μ ≤ 16? 2 Which front cover? It is thought that the front cover and the nature of the first question on mail surveys influence the response rate. The article ”The Impact of Cover Design and First Question on Response Rates for a Mail Survey of Skydivers” ( Leisure Science , 1991) tested this theory by experimenting with different cover designs. One cover was plain; the other used a picture of a skydiver. The researchers speculated that the return rate would be lower for the plain cover. Cover Number Sent Number Returned Plain 207 104 Skydiver 213 109 Does thus data support the researchers’ hypothesis? Test the relevant hypothesis using α = . 1 by first calculating a p-value.1 by first calculating a p-value....
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- Fall '07
- Standard Deviation, Null hypothesis, Statistical hypothesis testing, commissioner