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Answer :
Final answer:
Explains how to calculate a 90% confidence interval for the mean body temperature using the t-distribution and provides the correct range. The correct option is b.
Explanation:
The 90% confidence interval of the mean body temperature of the adults in the town can be calculated using the t-distribution formula.
- Given a sample mean of 98.4, sample standard deviation of 0.3, and sample size of 20, the margin of error is calculated as 1.729.
- Therefore, the 90% confidence interval for the mean body temperature is (97.930, 98.870) when rounded to 3 decimal places.
- Hence, the correct option is b) (97.930, 98.762).
The 90% confidence interval for the mean body temperature in a town is calculated using the sample mean and sample standard deviation by applying the t-distribution. However, the sample size is needed to complete this calculation, which was not provided in the student's question
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