High School

The high temperatures (in degrees Fahrenheit) of a random sample of 10 small towns are:

96.5, 96.9, 98.3, 99.1, 96.3, 96.4, 97.7, 98.6, 96.7, 98

Assume high temperatures are normally distributed. Based on this data, find the 99% confidence interval of the mean high temperature of the 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.I. =

The answer should be obtained without any preliminary rounding. However, the critical value may be rounded to 3 decimal places.

Answer :

Final answer:

To find the 99% confidence interval of the mean high temperature of towns, use the t-distribution and calculate the sample mean, sample standard deviation, and t-value.

Explanation:

To find the 99% confidence interval of the mean high temperature of towns, we will use the t-distribution since the population standard deviation is unknown. The formula for the confidence interval is:

CI = sample mean ± (t-value) * (sample standard deviation / sqrt(sample size))

First, calculate the sample mean and sample standard deviation of the data. Then, find the t-value for a 99% confidence level with (n - 1) degrees of freedom, where n is the sample size. Finally, substitute the values into the formula to find the confidence interval.

Learn more about Confidence Interval here:

https://brainly.com/question/34700241

#SPJ11

Other Questions