(a) If x = 105.9 and s= 9.1, compute the test statistic. t= (Round to three decimal places as needed.) (b) If the researcher decides to test this hypothesis at the a = 0.01 level of significance, determine the critical values. The critical values are O (Use a comma to separate answers as needed. Round to three decimal places as needed.) (c) Draw a t-distribution that depicts the critical region(s). Which of the following graphs shows the critical region(s) in the t-distribution? O A. OB. (d) Will the researcher reject the null hypothesis?

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To test H,: u = 100 versus H,: µ# 100, a simple random sample size of n = 22 is obtained from a population that is known to be normally distributed. Answer parts (a)-(d).
E Click here to view the t-Distribution Area in Right Tail.
(a) If x = 105.9 and s = 9.1, compute the test statistic.
(Round to three decimal places as needed.)
(b) If the researcher decides to test this hypothesis at the a = 0.01 level of significance, determine the critical values.
The critical values are.
(Use a comma to separate answers as needed. Round to three decimal places as needed.)
(c) Draw a t-distribution that depicts the critical region(s). Which of the following graphs shows the critical region(s) in the t-distribution?
OA.
OB.
OC.
(d) Will the researcher reject the null hypothesis?
O A. The researcher will reject the null hypothesis since the test statistic is not between the critical values.
O B. There is not sufficient evidence for the researcher to reject the null hypothesis since the test statistic is not between the critical values.
O C. The researcher will reject the null hypothesis since the test statistic is between the critical values.
O D. There is not sufficient evidence for the researcher to reject the null hypothesis since the test statistic
between the critical values.
Transcribed Image Text:To test H,: u = 100 versus H,: µ# 100, a simple random sample size of n = 22 is obtained from a population that is known to be normally distributed. Answer parts (a)-(d). E Click here to view the t-Distribution Area in Right Tail. (a) If x = 105.9 and s = 9.1, compute the test statistic. (Round to three decimal places as needed.) (b) If the researcher decides to test this hypothesis at the a = 0.01 level of significance, determine the critical values. The critical values are. (Use a comma to separate answers as needed. Round to three decimal places as needed.) (c) Draw a t-distribution that depicts the critical region(s). Which of the following graphs shows the critical region(s) in the t-distribution? OA. OB. OC. (d) Will the researcher reject the null hypothesis? O A. The researcher will reject the null hypothesis since the test statistic is not between the critical values. O B. There is not sufficient evidence for the researcher to reject the null hypothesis since the test statistic is not between the critical values. O C. The researcher will reject the null hypothesis since the test statistic is between the critical values. O D. There is not sufficient evidence for the researcher to reject the null hypothesis since the test statistic between the critical values.
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