High School

A sample of 73 body temperatures has a mean of 98.6. Assume that σ is known to be 0.5 oF. Use a 0.05 significance level to test the claim that the mean body temperature of the population is equal to 98.5 oF, as is commonly believed. What is the value of test statistic for this testing? (Round off the answer upto 2 decimal places)

Answer :

The value of the test statistic is -2.83.

What is the calculated test statistic?

The test statistic is a measure used in hypothesis testing to determine the likelihood of observing a particular sample result if the null hypothesis is true.

In this case, we are testing the claim that the mean body temperature of the population is equal to 98.5°F.

To calculate the test statistic, we can use the formula:

test statistic = (sample mean - hypothesized mean) / (standard deviation / √sample size)

Given that the sample mean is 98.6°F, the hypothesized mean is 98.5°F, the standard deviation is 0.5°F, and the sample size is 73, we can plug these values into the formula:

test statistic = (98.6 - 98.5) / (0.5 / √73) = 0.1 / (0.5 / 8.54) = 0.1 / 0.0587 ≈ -2.83

Therefore, the value of the test statistic for this testing is approximately -2.83.

Learn more about hypothesis testing

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