The image contains a series of questions related to hypothesis testing regarding the mean body temperature of a healthy adult. Here’s a structured overview suitable for an educational context: --- **Hypothesis Testing for Mean Body Temperature** It is commonly believed that the mean body temperature of a healthy adult is \(98.6^\circ F\). However, you're skeptical and suspect it may be different. You've conducted a study with 35 healthy individuals and found an average temperature of \(98.2^\circ F\) with a standard deviation of \(1.08^\circ F\). Using a \(0.05\) significance level, you aim to test if the true mean body temperature differs from \(98.6^\circ F\). ### a) Identify the null and alternative hypotheses: - \(H_0: \?\) - \(H_1: \?\) ### b) Type of hypothesis test (left-, right-, or two-tailed): - ☐ left-tailed - ☐ right-tailed - ☐ two-tailed ### c) Identify the appropriate significance level: [Input Box] ### d) Calculate your test statistic: Provide your calculated test statistic rounded to two decimal places. [Input Box] ### e) Calculate your p-value: Provide your p-value rounded to four decimal places. [Input Box] ### f) Do you reject the null hypothesis? - ☐ We reject the null hypothesis, since the p-value is less than the significance level. - ☐ We reject the null hypothesis, since the p-value is not less than the significance level. - ☐ We fail to reject the null hypothesis, since the p-value is less than the significance level. - ☐ We fail to reject the null hypothesis, since the p-value is not less than the significance level. --- This exercise guides you through statistical hypothesis testing, challenging your understanding of statistical inference and the decision-making process based on significance levels and p-values. g) Select the statement below that best represents the conclusion that can be made. - ○ There is sufficient evidence to warrant rejection of the claim that the mean body temperature of a healthy adult is not 98.6°F. - ○ There is not sufficient evidence to warrant rejection of the claim that the mean body temperature of a healthy adult is not 98.6°F. - ○ The sample data support the claim that the mean body temperature of a healthy adult is not 98.6°F. - ○ There is not sufficient sample evidence to support the claim that the mean body temperature of a healthy adult is not 98.6°F.