The high temperatures (in degrees Fahrenheit) of a random sample of 6 small town

Question

The high temperatures (in degrees Fahrenheit) of a random sample of 6 small towns are 99.1 96.9 96.3 96.4 97.2 97.9 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 to 3 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. = (95.56, 99.04)

Variable Sample Mean Std. Err. DF L. Limit U. Limit Data 97.3 0.43127717 5 95.561022 99.038978

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