Final answer:
To test if men have a higher mean body temperature than women, we formulate the null hypothesis stating no difference in means, and the alternative hypothesis stating men's mean is higher. The test statistic and p-value are calculated from the sample data, but since the data is not provided, we cannot compute them here. If the p-value is less than the significance level, we reject the null hypothesis.
Step-by-step explanation:
To test the claim that men have a higher mean body temperature than women using a 0.01 significance level, we need to define the null and alternative hypotheses.
The null hypothesis (H0) states that there is no difference in the mean body temperature between men and women, or that the mean temperature for men is less than or equal to that of women. The alternative hypothesis (Ha) states that men have a higher mean body temperature than women. The formulation of hypotheses will be:
H0: μmen ≤ μwomen
Ha: μmen > μwomen
To provide the test statistic (t-value) and the p-value, we would calculate these values using the means, standard deviations, and sizes of the samples for men and women. These calculations typically involve using statistical software or a t-distribution table.
As specific data for men and women's body temperatures are not provided in this question, we cannot calculate the test statistic and p-value directly.
Once the test statistic and p-value are calculated, we compare the p-value to our significance level (in this case, 0.01), and if the p-value is less than 0.01, we reject the null hypothesis, concluding there is evidence to support the claim that men have a higher mean body temperature than women.