It is commonly believed that the mean body temperature of a healthy adult is 98.6° F. You are not entirely convinced. You believe that it is not 98.6°F. You collected data using 51 healthy people and found that they had a mean body temperature of 98.27° F with a standard deviation of 1.14° F. Use a 0.05 significance level to test the claim that the mean body temperature of a healthy adult is < 98.6° F. a) Identify the null and alternative hypotheses? Ho: ? HA: ? b) What type of hypothesis test should you conduct (left-, right-, or two-tailed)? O left-tailed O right-tailed O two-tailed c) Identify the appropriate significance level. d) Calculate your test statistic. Write the result below, and be sure to round your final answer to 3 decimal places. e) Calculate your p-value. Write the result below, and be sure to round your final answer to 3 decimal places. f) Do you reject the null hypothesis? O We reject the null hypothesis, since the p-value is less than the significance level. O We fail to reject the null hypothesis, since the p-value is not less than the significance level. Select the statement below that best represents the conclusion that can be made. The sample data support the claim that the mean body temperature of a healthy adult is < 98.6° F. There is not sufficient sample evidence to support the claim that the mean body temperature of a healthy adult is < 98.6° F.

Choose the correct option and explain.

Pyramid Lake is on the Paiute Indian Reservation in Nevada. The lake is famous for cutthroat trout. Suppose a friend tells you that the average length of trout caught in Pyramid Lake is ? = 19 inches. However, a survey reported that of a random sample of 51 fish caught, the mean length was x = 18.6 inches, with estimated standard deviation s = 2.9 inches. Do these data indicate that the average length of a trout caught in Pyramid Lake is less than ? = 19 inches? Use ? = 0.05. i-What is the value of the sample test statistic? (Round your answer to three decimal places.)

Pyramid Lake is on the Paiute Indian Reservation in Nevada. The lake is famous for cutthroat trout. Suppose a friend tells you that the average length of trout caught in Pyramid Lake is ? = 19 inches. However, a survey reported that of a random sample of 46 fish caught, the mean length was x = 18.4 inches, with estimated standard deviation s = 2.7 inches. Do these data indicate that the average length of a trout caught in Pyramid Lake is less than ? = 19 inches? Use ? = 0.05. Solve the problem using the critical region method of testing (i.e., traditional method). (Round the your answers to three decimal places.)   test statistic =   critical value =   State your conclusion in the context of the application. Reject the null hypothesis, there is sufficient evidence that the average fish length is less than 19 inches.Reject the null hypothesis, there is insufficient evidence that the average fish length is less than 19 inches.    Fail to reject the null hypothesis, there is…