The high temperatures (in degrees Fahrenheit) of a random sample of 5 small town

Question

The high temperatures (in degrees Fahrenheit) of a random sample of 5 small towns are: 97 99.3 96.4 96.3 97.1 Assume high temperatures are normally distributed. Based on this data, find the 99% confidence interval of the mean high temperature of towns. Enter your answer as an open-interval (i.e., parentheses) accurate to two decimal places (because the sample data are reported accurate to one decimal place). 99% C.1. Answer should be obtained without any preliminary rounding. However, the critical value may be rounded to3 decimal places.

Explanation / Answer

The statistical software output for this problem is:

One sample T confidence interval:
: Mean of variable

99% confidence interval results:

Hence,

99% C.I. = (94.72, 99.72)

Variable Sample Mean Std. Err. DF L. Limit U. Limit Data 97.22 0.54350713 4 94.717641 99.722359

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