To test Ho: H= 100 versus H₁ μ#100, a simple random sample of size n = 25 is obtained from a population that is known to be normally distributed. Answer parts (a)-(e). Click here to view the t-Distribution Area in Right Tail. (a) If x= 105.8 and s= 8.7, 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 value(s) is/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. O B. Q J i CHE Q I G (d) Will the researcher reject the null hypothesis? OA. The researcher will reject the null hypothesis since the test statistic is not in the rejection region. OB. There is not sufficient evidence for the researcher to reject the null hypothesis since the test statistic is not in the rejection region. OC. The researcher will reject the null hypothesis since is in the rejection region. the test statistic O C. D Q Q N 12/

MATLAB: An Introduction with Applications
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To test Ho: μ = 100 versus H₁: #100, a simple random sample of size n = 25 is obtained from a population that is known to be normally distributed. Answer parts (a)-(e).
Click here to view the t-Distribution Area in Right Tail.
(a) If x= 105.8 and s= 8.7, 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 value(s) is/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?
O A.
OB.
Q
▬▬
Q
(d) Will the researcher reject the null hypothesis?
OA. The researcher will reject the null hypothesis since the test statistic is not in the rejection region.
OB. There is not sufficient evidence for the researcher to reject the null hypothesis since the test statistic is not in the rejection region.
OC. The researcher will reject the null hypothesis since the test statistic is in the rejection region.
O
I
G
D
O C.
s
Q
Q
N
12/
Transcribed Image Text:To test Ho: μ = 100 versus H₁: #100, a simple random sample of size n = 25 is obtained from a population that is known to be normally distributed. Answer parts (a)-(e). Click here to view the t-Distribution Area in Right Tail. (a) If x= 105.8 and s= 8.7, 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 value(s) is/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? O A. OB. Q ▬▬ Q (d) Will the researcher reject the null hypothesis? OA. The researcher will reject the null hypothesis since the test statistic is not in the rejection region. OB. There is not sufficient evidence for the researcher to reject the null hypothesis since the test statistic is not in the rejection region. OC. The researcher will reject the null hypothesis since the test statistic is in the rejection region. O I G D O C. s Q Q N 12/
O A.
A
OB.
(e) Construct a 99% confidence interval to test the hypothesis.
The confidence interval is (.).
(Round to two decimal places as needed.)
1²
(d) Will the researcher reject the null hypothesis?
OA. The researcher will reject the null hypothesis since the test statistic is not in the rejection region.
OB. There is not sufficient evidence for the researcher to reject the null hypothesis since the test statistic is not in the rejection region.
OC. The researcher will reject the null hypothesis since the test statistic is in the rejection region.
OD. There is not sufficient evidence for the researcher to reject the null hypothesis since the test statistic is in the rejection region.
Ho based on the confidence interval because the hypothesized value μ = 100
in the interval.
O C.
A
Transcribed Image Text:O A. A OB. (e) Construct a 99% confidence interval to test the hypothesis. The confidence interval is (.). (Round to two decimal places as needed.) 1² (d) Will the researcher reject the null hypothesis? OA. The researcher will reject the null hypothesis since the test statistic is not in the rejection region. OB. There is not sufficient evidence for the researcher to reject the null hypothesis since the test statistic is not in the rejection region. OC. The researcher will reject the null hypothesis since the test statistic is in the rejection region. OD. There is not sufficient evidence for the researcher to reject the null hypothesis since the test statistic is in the rejection region. Ho based on the confidence interval because the hypothesized value μ = 100 in the interval. O C. A
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