Homework stat

Question M 1 N P The average score for male golfers is 87 and the average score for female golfers is 102. Use these values as the population means for men and women and assume that the population standard deviation o = 13 strokes for both. A simple random sample of 36 male golfers and another simple 6 random sample of 38 female golfers will be taken. a. Calculate the standard error of the mean for both male and female golfers. b. What is the probability that the sample mean is within 3 strokes of the populations mean for the 10 sample of male golfers? 11 c. What is the probability that the sample mean is within 3 strokes of the populations mean for the 12 sample of female golfers? 13 d. In which case, part (b) or part (c), is the probability of obtaining a sample mean within 3 strokes of 14 the population mean higher? Why? 15 16 question M 2 17 The Grocery Manufactures of America reported that 72% of consumers read the ingredients listed on 18 a product's label. Assume the a sample of 395 consumers is selected from the population. 19 20 a. Calculate the standard error of the proportion. 21 b. What is the probability that the sample proportion will be more than 77% of the population proportion? 22 c. What is the probability that the sample proportion will be within 1 .04 of the population proportion? 23 d. Answer part (c) for a sample of 825 consumers. 24 25 26 27