Defining anything over 30 as a large sample size is not an absolute. Other values for...

Defining anything over 30 as a large sample size is not an absolute. Other values for large samples can be selected based on the needs of collecting a particular data set. Using Excel, find the value of the 99.5% confidence interval for a single sample using both the z variable and the student’s t-distribution where the mean is 25.0 with a standard deviation of 2.5. When calculating the confidence interval for the z-value, assume any value of n is a large sample, and when calculating the confidence interval for the for the student’s t-distribution, assume any value of n is a small sample. Compute the confidence intervals for:

a. n = 10

b. n = 25

c. n = 100

(Be sure to list the Excel formulas you used to obtain the z and t-values.)

Expert Solution

a) 99.5% confidence interval using Z distribution and t distribution when sample size n = 10

b) 99.5% confidence interval using Z distribution and t distribution when sample size n = 25

c) 99.5% confidence interval using Z distribution and t distribution when sample size n = 100

orchestra answered 2 years ago

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