A physician with a practice is currently serving 290 patients. The physician wou

Question

A physician with a practice is currently serving 290 patients. The physician would like to administer a survey to his patients to measure their satisfaction level with his practice. A random sample of 24 patients had an average satisfaction score of 7.9 on a scale of 1-10. The sample standard deviation was 1.9. Complete parts a and b below a. Construct a 99% confidence interval to estimate the average satisfaction score for the physician's practice. The 99% confidence interval to estimate the average satisfaction score is (Round to two decimal places as noeded.) b. What assumption needs to be made for this analysis? A. The sample sze is less than 5% of the population. The population is normally distributed. O B. C. The population standard deviation is known. D. There are no assumptions needed for this analysis.

Explanation / Answer

z = 2.576 n = 24 x' = 7.9 s = 1.9

a. Let the interval be (a,b).

a = 7.9 - 1.9 * 2.576 / 24

= 6.9009

b = 7.9 + 1.9 * 2.576 / 24

= 8.8991

The interval is (6.9009,8,8991).

b. The assumption is that

B. The population is normally distributed.

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