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A statistics class is estimating the mean height of all female students at their college. They collect a random sample of 36 female students and measure their heights. The mean of the sample is 65. 3 inches. The standard deviation is 5. 2 inches. What is the 90% confidence interval for the mean height of all female students in their school? assume that the distribution of individual female heights at this school is approximately normal

Respuesta :

The 90% confidence interval for the mean height of all female students in their school is (63.8, 66.8).

How to calculate the confidence interval?

From the information, the following can be deduced:

Degree of freedom = n - 1 = 36 - 1 = 35

Margin of error = 1.690 × (5.2/✓36) = 1.5

Therefore, the 90% confidence interval for the mean height will be:

= 65.3 - 1.5 = 63.8

Also, the second value will be:

= 65.3 + 1.5 = 66.8

In conclusion, the 90% confidence interval is (63.8, 66.8).

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