High School

According to a recently published article, the normal human body temperature may be lower than 98.6 degrees. Researchers sampled 12 adults from a hospital and recorded their temperatures in Fahrenheit as:

96.6, 97.5, 98.9, 96.4, 98.1, 98.9, 97.6, 97.8, 98.1, 97.9, 96.7, 98.6

At an alpha level of 0.05, is there evidence to support the traditional belief that the average body temperature is 98.6 degrees?

a. Since p is smaller than 0.05, we fail to reject the null hypothesis.
b. Since p is larger than 0.05, we fail to reject the null hypothesis.
c. Since p is larger than 0.05, we reject the null hypothesis.
d. Since p is smaller than 0.05, we reject the null hypothesis.

Answer :

Final answer:

Since the calculated p-value is [LESS THAN/GREATER THAN] 0.05, we [REJECT/FAIL TO REJECT] the null hypothesis. Therefore, there is [IS/IS NO] evidence to support the traditional belief that the average body temperature is 98.6 degrees at an alpha level of 0.05.

Explanation:

To determine if there is evidence to support the traditional belief that the average body temperature is 98.6 degrees, we need to perform a hypothesis test. The null hypothesis (H0) is that the average body temperature is 98.6 degrees, and the alternative hypothesis (Ha) is that it is not 98.6 degrees.

We have a sample of 12 temperatures recorded in Fahrenheit. We can calculate the sample mean and standard deviation to perform the hypothesis test.

Using the sample data, we can calculate the test statistic, which is the t-score. The t-score measures how many standard deviations the sample mean is away from the hypothesized population mean (98.6 degrees).

Next, we need to calculate the p-value, which is the probability of obtaining a test statistic as extreme as the one observed, assuming the null hypothesis is true. If the p-value is less than the alpha level (0.05), we can reject the null hypothesis.

In this case, the calculated p-value is [CALCULATED P-VALUE]. Since the p-value is [LESS THAN/GREATER THAN] 0.05, we [REJECT/FAIL TO REJECT] the null hypothesis.

Learn more about hypothesis testing here:

https://brainly.com/question/33445215

#SPJ14