A physician with a practice is currently serving 280patients. The physician would like to administer a...

A physician with a practice is currently serving 280patients. The physician would like to administer a survey to his patients to measure their satisfaction level with his practice. A random sample of

23patients had an average satisfaction score of 7.7on a scale of 1-10. The sample standard deviation was 1.7.

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

(___,___)

Solutions

Expert Solution

We have given sample mean is and the sample standard deviation is s = 1.7. The size of the sample is n = 23 and the required confidence level is

.The critical t-value for and df = 22 degrees of freedom is .

The 99% confidence for the population mean μ is computed using the following expression

The 99% confidence interval to estimate the average satisfaction score is

(6.701,8.669)

orchestra answered 2 years ago

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