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The high temperatures (in degrees Fahrenheit) of a random sample of 9 small towns are: 98.2...

The high temperatures (in degrees Fahrenheit) of a random sample of 9 small towns are:

98.2
97
98.8
96.8
97.8
99.2
99.6
96.6
97.3



Assume high temperatures are normally distributed. Based on this data, find the 80% 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).

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Answer #1

Following is the output of descriptive statistics generated by excel:

Descriptive statistics
X
count 9
mean 97.922
sample standard deviation 1.093
sample variance 1.194
minimum 96.6
maximum 99.6
range 3

The required confidence interval is (97.41, 98.43).

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