A study of 35 golfers showed that their average score on aparticular course was
ID: 2917363 • Letter: A
Question
A study of 35 golfers showed that their average score on aparticular course was 92. The standard deviation of thesample is 5. a. Find the best point estimate of the mean. b. Find the 95% confidence interval of the mean scorefor all golfers. c. Find the 95% confidence interval of the mean score ifa sample of 60 golfers is used instead of a sample of 35. d. Which interval is smaller? Explain why. A study of 35 golfers showed that their average score on aparticular course was 92. The standard deviation of thesample is 5. a. Find the best point estimate of the mean. b. Find the 95% confidence interval of the mean scorefor all golfers. c. Find the 95% confidence interval of the mean score ifa sample of 60 golfers is used instead of a sample of 35. d. Which interval is smaller? Explain why.Explanation / Answer
sample size, n = 35 sample mean, Xbar = 92 standard deviation, =5 a) point estimate of the mean, = sample mean =92 b) the 95% confidence interval of the mean score, Xbar ± Z/2(/n) 92 ± 1.96 * (5/35) 92 ± 1.6565 ( 90.3235 , 93.6565) c)the 95% confidence interval of the mean score if a sample of60 golfers is used instead of a sample of 35 Xbar ± Z/2 (/n) 92 ± 1.96 * (5/60) 92 ± 1.2652 ( 90.7348 , 93.2652) 92 ± 1.96 * (5/60) 92 ± 1.2652 ( 90.7348 , 93.2652)Related Questions
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