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1. Hannah Chang is the "Cookie Lady." She bakes and sells cookies at 50 different locations in the Philadelphia area. Ms. Chang is concerned about absenteeism among her workers. The Information below reports the number of days absent for a sample of 10 workers during the last two-week pay period. Develop a 95 percent confidence interval for the population mean. (10 points) 4 'I 2 2 1 2 2 'l 0 3 2. A business student claims that on average, an MBA student is required to prepare more than five cases per week- To examine the claim, a statistics professor asks a random sample of 10 MBA students to report the number of cases they prepare weekly. The results are exhibited here. Can the professor conclude at the 5% significance level that the claim is true. assuming that the number of cases is normally distributed with a standard deviation of 2? (10 points) 3. Calculate the probability of a Type II error for the following test of hypothesis, given that u=204. H_0: u=200 H_'l: [#200 0:05, 0:10, n=100 (10 points) 4. A market survey was conducted to estimate the proportion of homeworkers who would recognize the brand name of a cleanser based on the shape and the color of the container. Of the 1,400 homeworkers sampled, 420 were able to identify the brand by name. Develop a 95% confidential interval for the population proportion. (10 points) 5. Estimate 0'2 with 95% confidence given that n = 20 and s"2=15. What is the effect of increasing the sample size? (10 points)