A sample of size n= 96 is drawn from a normal population whose standard deviation is o = 7.8. The sample mean is x = 49.32. Part 1 of 2 (a) Construct a 99% confidence interval for u. Round the answer to at least two decimal places. A 99% confidence interval for the mean is LE Part 2 of 2 (b) If the population were not approximately normal, would the confidence interval constructed in part (a) be valid? Explain.

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A sample of size n= 96 is drawn from a normal population whose standard deviation is o = 7.8. The sample mean is x = 49.32.
Part 1 of 2
(a) Construct
a 99% confidence interval for u. Round the answer to at least two decimal places.
A 99% confidence interval for the mean is
O <u< O
do
Part 2 of 2
(b) If the population were not approximately normal, would the confidence interval constructed in part (a) be valid? Explain.
be valid since the sample
The confidence interval constructed in part (a) |(Choose one) ▼
would
Size (Choose one) ▼ | large.
would not
Transcribed Image Text:A sample of size n= 96 is drawn from a normal population whose standard deviation is o = 7.8. The sample mean is x = 49.32. Part 1 of 2 (a) Construct a 99% confidence interval for u. Round the answer to at least two decimal places. A 99% confidence interval for the mean is O <u< O do Part 2 of 2 (b) If the population were not approximately normal, would the confidence interval constructed in part (a) be valid? Explain. be valid since the sample The confidence interval constructed in part (a) |(Choose one) ▼ would Size (Choose one) ▼ | large. would not
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