In a randoms sample of six people, the mean driving distance to work was 19.7 miles and the standard deviation was 6.1 miles. Assume the population is normally distributed and use the t-distribution to find the margin of error and construct a 90% confidence interval for the population mean u. Interpret the results.

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In a randoms sample of six people, the mean driving distance to work was 19.7 miles and the standard deviation was 6.1 miles.

Assume the population is normally distributed and use the t-distribution to find the margin of error and construct a 90% confidence interval for the population mean u.

Interpret the results.

Expert Solution
Step 1

Given,

sample mean (x̄) = 19.7

sample standard deviation (s) = 6.1

sample size (n) = 6

significance level  (α)  = 0.10

degree of freedom = df = n -1 = 6-1 = 5

tcritical  = tα/2 ,df  = 2.015

 

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