# Question: A variable of a population has a mean of

A variable of a population has a mean of μ = 35 and a standard deviation of σ = 42.

a. If the variable is normally distributed, identify the sampling distribution of the sample mean for samples of size 9.

b. Can you answer part (a) if the distribution of the variable under consideration is unknown? Explain your answer.

c. Can you answer part (a) if the distribution of the variable under consideration is unknown but the sample size is 36 instead of 9? Why or why not?

a. If the variable is normally distributed, identify the sampling distribution of the sample mean for samples of size 9.

b. Can you answer part (a) if the distribution of the variable under consideration is unknown? Explain your answer.

c. Can you answer part (a) if the distribution of the variable under consideration is unknown but the sample size is 36 instead of 9? Why or why not?

**View Solution:**## Answer to relevant Questions

A variable of a population is normally distributed with mean μ and standard deviation σ. a. Identify the distribution of x-bar. b. Does your answer to part (a) depend on the sample size? Explain your answer. c. Identify ...Population data: 1, 2, 3, 4, 5. a. Find the mean, μ, of the variable. b. For each of the possible sample sizes, construct a table similar to Table 7.2 on page 281 and draw a dotplot for the sampling distribution of the ...The R. R. Bowker Company collects information on the retail prices of books and publishes its findings in The Bowker Annual Library and Book Trade Almanac. In 2005, the mean retail price of all history books was ...In Example 7.9 on page 294, we conducted a simulation to check the plausibility of the central limit theorem. The variable under consideration there is household size, and the population consists of all U.S. households. A ...A paint manufacturer in Pittsburgh claims that his paint will last an average of 5 years. Assuming that paint life is normally distributed and has a standard deviation of 0.5 year, answer the following questions: a. Suppose ...Post your question