PLEASE MAKE SURE FORMATTING IS UNDERSTANDING AND READABLE! I have arranged the questions in the order they should be in, please only provide answer with section, question number and part (ex. 1a, 1b, 2a, 2b, etc.). I'd prefer the formatting to be like mine so I know what goes where.

Section 7.5

3.

In the EAI sampling problem, the population mean is $71,100 and the population standard deviation is $5000. For n = 30, there is a 0.4908 probability of obtaining a sample mean within :|:$600 of the population mean. Use ztable. a. What is the probability that E is within $600 of the population mean if a sample of size 60 is used (to 4 decimals)? 0.6474 M b. Answer part (a) for a sample of size 120 (to 4 decimals). 0.0157 6 The population proportion is 0.40. What is the probability that a sample proportion will be within :l:0.04 of the population proportion for each of the following sample sizes? Round your answers to 4 decimal places. Use ztable. a.n : 100 0.5856 M b'n: 200 0.7524 0 c. n = 500 0.9322 w (Ln: 1000 0.9902 M e. What is the advantage of a larger sample size? With a larger sample, there is a M probability :5 will be within ::0.04 of the population proportion 13. The president of Doerman Distributors, Inc., believes that 26% of the firm's orders come from first-time customers. A simple random sample of 100 orders will be used to estimate the proportion of firsttime customers. Use ztable. a. Assume that the president is correct and p = 0.26. What is the sampling distribution of? for this study? A normal distribution because np and n(1-p) are both greater than 5 v w b. What is the probability that the sample proportion will be between 0.12 and 0.40 (to 4 decimals)? 0.9986 K10 c. What is the probability that the sample proportion will be between 0.17 and 0.35 (to 4 decimals)? 0.9601 0 The Grocery Manufacturers of America reported that 73.00% of consumers read the ingredients listed on a product's label. Assume the population proportion is p = 0.73 and a sample of 350 consumers is selected from the population. a. Show the sampling distribution of the sample proportion 17, where 1) is the proportion of the sampled consumers who read the ingredients listed on a product's label. EU?) 2 0.73 w (to 2 decimals) a; = 0.0237 Q0 (to 4decimals) b. What is the probability that the sample proportion will be within :l:0.03 of the population proportion (to 4 decimals)? 0.0141 6 c. Answer part (b) for a sample of 760 (to 4 decimals). 0.9653 0