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WILL CROWN BEST ANSWER

WILL CROWN BEST ANSWER-example-1
User Athms
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The 99% confidence interval for the mean high temperature of the sample data is (97.02, 98.58), indicating with 99% confidence that the true population mean falls within this range of temperatures.

To calculate the 99% confidence interval of the mean high temperature of the sample data. Here are the steps to do that:

Find the sample size, mean, and standard deviation of the data. You can use a calculator or a spreadsheet to do this. The values are:

Sample size: n = 7

Sample mean:
\bar x = 97.8

Sample standard deviation: s = 0.8

Choose the confidence level. In this case, it is 99%, which corresponds to a z-value of 2.58. You can find the z-value from a table or a calculator.

Use the formula for the confidence interval of the mean:

Confidence Interval =
\bar x +/- z * (s/√n)

Plug in the values and simplify:

Confidence Interval = 97.8 +/- 2.58 * (0.8/√7)

Confidence Interval = 97.8 +/- 0.78

Confidence Interval = (97.02, 98.58)

Write the answer as an open interval using parentheses:

(97.02, 98.58)

This is the 99% confidence interval of the mean high temperature of the sample data. It means that we are 99% confident that the true population mean of the high temperatures is between 97.02 and 98.58 degrees Fahrenheit.

User Haju
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