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

A variable of a population has mean μ and standard deviation σ. For a large sample size n, answer the following questions.

a. Identify the distribution of x-bar.

b. Does your answer to part (a) depend on n being large? Explain your answer.

c. Identify the mean and the standard deviation of x-bar.

d. Does your answer to part (c) depend on the sample size being large? Why or why not?

a. Identify the distribution of x-bar.

b. Does your answer to part (a) depend on n being large? Explain your answer.

c. Identify the mean and the standard deviation of x-bar.

d. Does your answer to part (c) depend on the sample size being large? Why or why not?

## Answer to relevant Questions

Refer to Fig. 7.6 on page 295. a. Why are the four graphs in Fig. 7.6(a) all centered at the same place? b. Why does the spread of the graphs diminish with increasing sample size? How does this result affect the sampling ...Data on salaries in the public school system are published annually in National Survey of Salaries and Wages in Public Schools by the Education Research Service. The mean annual salary of (public) classroom teachers is $49.0 ...Dementia is the loss of the intellectual and social abilities severe enough to interfere with judgment, behavior, and daily functioning. Alzheimer's disease is the most common type of dementia. In the article "Living with ...A variable is said to have an exponential distribution or to be exponentially distributed if its distribution has the shape of an exponential curve, that is, a curve of the form y = e−x/μ/μ for x > 0, where μ is the ...The Graduate Record Examination (GRE) is a standardized test that students usually take before entering graduate school. According to the document Interpreting Your GRE Scores, a publication of the Educational Testing ...Post your question