1. The sample data below have been collected based on a simple random sample fro
ID: 3133968 • Letter: 1
Question
1. The sample data below have been collected based on a simple random sample from a normally distributed population Complete parts a and b 2 a. Compute a 98% confidence interval estimate for the population mean The 98% confidence interval for the population mean is from to (Round to two decimal places as needed. Use ascending order.) b. Show what the impact would be if the confidence level is increased to 99%. Discuss why this occurs. Select the correct choice below and fill in the answer boxes to complete your choice (Round to two decimal places as needed. Use ascending order.) O A. The 99% confidence interval is from which is narrower than the to terval in part a. This is because the margin of error is greater for a higher confidence l O B. The 99% confidence interval is from which is narrower than the interval in part a. This is because the margin of error is greater for a smaller confidence level O C. The 99% confidence interval is from which is wider than the terval in part a. This is because the margin of error is greater for a smaller confidence le O D. The 99% confidence interval is from which is wider than the to interval in part a. This is because the margin of error is greater for a higher confidence levelExplanation / Answer
a) The 98% confident interval of the population mean is from 1.29 to 6.54
b) Correct Answer: Option (D)
99% Confident the population mean is within the range: 0.86 to 6.94
since
Margin of error, E = 2.641737 at 98%
Margin of error, E = 3.042844 at 99%
Therefore, as confidence interval increase, the marginal error is also increased
From Part (A) and (B), As confindence interval increase, the confindence range is also increased
Thus, 99% confidence interval is from 0.86 to 6.94. which is wider than interval in part a. This is because the ME is greater for a higher confidence level.
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