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Answer :
The hypothesis testing is the population mean is not 98.6°F, we can use a one-sample t-test. With the given sample data, we find the sample mean and standard deviation and compare the calculated t-value with the critical t-value at a significance level of 0.05.
The results indicate that we do not have enough evidence to conclude that the population mean is different from 98.6°F.
To test the hypothesis that the population mean is not 98.6°F, we can use a one-sample t-test. The null hypothesis states that the population mean is equal to 98.6°F, and the alternative hypothesis states that the population mean is not equal to 98.6°F. Using a significance level of 0.05, we compare the calculated t-value with the critical t-value from the t-distribution table.
Calculating the sample mean and standard deviation, we find that the sample mean is 98.59°F and the standard deviation is approximately 0.87°F. With the given sample size of 10, we determine the degrees of freedom to be 9.
Using the t-distribution table, we find that the critical t-value for a significance level of 0.05 and 9 degrees of freedom is approximately 2.262. Since the calculated t-value is within the range (-2.262, 2.262), we fail to reject the null hypothesis. Therefore, we do not have enough evidence to conclude that the population mean is different from 98.6°F.
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