# Question: Consider a population with a known standard deviation of 26 8

Consider a population with a known standard deviation of 26.8. In order to compute an interval estimate for the population mean, a sample of 64 observations is drawn.

a. Is the condition that is normally distributed satisfied? Explain.

b. Compute the margin of error at a 95% confidence level.

c. Compute the margin of error at a 95% confidence level based on a larger sample of 225 observations.

d. Which of the two margins of error will lead to a wider confidence interval?

a. Is the condition that is normally distributed satisfied? Explain.

b. Compute the margin of error at a 95% confidence level.

c. Compute the margin of error at a 95% confidence level based on a larger sample of 225 observations.

d. Which of the two margins of error will lead to a wider confidence interval?

## Answer to relevant Questions

Discuss the factors that influence the margin of error of the confidence interval for the population mean. What can a practitioner do to reduce the margin of error?U.S. consumers are increasingly viewing debit cards as a convenient substitute for cash and checks. The average amount spent annually on a debit card is $7,790 (Kiplinger’s, August 2007). Assume that this average was based ...We use the t distribution for the statistical inference of the population mean when the underlying population standard deviation is not known. Under the assumption that the population is normally distributed, find tα/2,df ...According to a recent survey, high school girls average 100 text messages daily (The Boston Globe, April 21, 2010). Assume that the survey was based on a random sample of 36 high school girls. The sample standard deviation ...In order to lure female customers, a new clothing store offers free gourmet coffee and pastry to its customers. The average daily revenue over the past five-week period has been $1,080 with a standard deviation of $260. Use ...Post your question