Question

The claim is that for 10 am body temp of males the mean is less than 98.6 f the sample size is n = 38 and the test statistic is t=-3.768

Answer 1

Answer:

See below

Step-by-step explanation:

The null hypothesis would be $H_o:\mu\leq98.6$ which would suggest the claim that the mean body temperature for males is equal to or less than 98.6°

The alternate hypothesis would be $H_1:\mu>98.6$ which would suggest that the mean body temperature for males is greater than 98.6°

The test statistic, t, is given to us as $t=-3.77$, rounded to 2 decimal places

We can determine the p-value by calculating tcdf(-1e99,-3.77,37). This means that we are finding the area less than the t-statistic with degrees of freedom equal to df=n-1=38-1=37. Therefore, the p-value is 0.000285 when evaluated.

Therefore, because our p-value is less than our significance level of α=0.01, there is no sufficient evidence to prove that the claim that for 10 AM body temperatures for males, the mean is less than 98.6°F, is true. We reject the null hypothesis, in other words, because the p-value suggests that it's unlikely that the null hypothesis is true.