A simple random sample of size n is drawn. The sample mean, x, is found to be 19

Question

A simple random sample of size n is drawn. The sample mean, x, is found to be 19.4, and the sample standard deviation, s, is found to be 4.8. Click the icon to view the table of areas under the t-distribution. (a) Construct a 95% confidence interval about if the sample size, n, is 35 Lower bound: 17.75, Upper bound: 21.05 (Use ascending order. Round to two decimal places as needed.) (b) Construct a 95% confidence interval about if the sample size, n, is 61. Lower bound Upper bound: (Use ascending order. Round to two decimal places as needed.)

Explanation / Answer

The statistical software output for this problem is:

One sample T summary confidence interval:
: Mean of population

95% confidence interval results:

Hence,

Lower bound = 18.17

Upper bound = 20.63

Mean Sample Mean Std. Err. DF L. Limit U. Limit 19.4 0.61457702 60 18.170663 20.629337

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