In a random sample of 13 microwave ovens the mean repair cost was S85.00 and the

Question

In a random sample of 13 microwave ovens the mean repair cost was S85.00 and the standard deviation was $15.10 Using the standard normal distribution with the appropriate calculations for a standard deviation that is known, assume the population is normal/distributed find the margin of error and construct a 98% confidence interval for the population mean mu. A 98% confidence interval using the t-distribution was (73.8, 95.2). Compare the results. The margin of error of mu is. (Round to two decimal places as needed.) A 98% confidence interval for mu is () (Round to one decimal place as needed.) Compare the results. Choose the correct answer below. A. The confidence interval found using the standard normal distribution is wider than the confidence interval found using the students t-distribution. B. The confidence interval found using the standard normal distribution has smaller lower and upper confidence interval limits. C. The confidence interval found using the standard normal distribution is narrower th3n the confidence interval found U3ing the student s t-distribution. D. The confidence interval found using the standard normal distribution is the same as the confidence interval found using the student s t-distribution.

Explanation / Answer

Margin of error = (2.326*15.10)/Sqrt(13) = 9.7427

98% Interval

(85-9.7427, 85+9.7427)

= (75.3, 94.7)

Compare the results

Option C is Correct. Interval using Standard normal distribution is narrower than t distribution

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