MATH SOLVE

3 months ago

Q:
# A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x overbar, is found to be 109, and the sample standard deviation, s, is found to be 10. (a) Construct a 96% confidence interval about mu if the sample size, n, is 29. (b) Construct a 96% confidence interval about mu if the sample size, n, is 25. (c) Construct a 90% confidence interval about mu if the sample size, n, is 29. (d) Could we have computed the confidence intervals in parts (a)-(c) if the population had not been normally distributed? LOADING... Click the icon to view the table of areas under the t-distribution.

Accepted Solution

A:

Answer:a: 105.2 < µ < 112.8b: 104.872 < µ < 113.128c: 105.841 < µ < 112.159d: No, because n < 30Step-by-step explanation:For a - c, see attached photos for work. There are 2 formulas to use. The steps for constructing any confidence interval are the same, you will just use different numbers in the formula depending on what data is given to you. d: With large sample sizes, the data often resembles normally distributed data, so we can still construct confidence intervals from the data.