To test Hn: u= 20 versus H,: µ < 20, a simple random sample of size n= 17 is obtained from a population that is known to be normally distributed. Answer parts (a)-(d). Click here to view the t-Distribution Area in Right Tail. (a) If x = 18.1 and s = 4.1, compute the test statistic. t= (Round to two decimal places as needed.) (b) Draw a t-distribution with the area that represents the P-value shaded. Which of the following graphs shows the correct shaded region? OA. OB. OC. (c) Approximate the P-value. Choose the correct range for the P-value below. O A. 0.10

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To test Hn: u= 20 versus H,: µ < 20, a simple random sample of size n= 17 is obtained from a population that is known to be normally distributed. Answer parts (a)-(d).
Click here to view the t-Distribution Area in Right Tail.
(a) If x = 18.1 and s = 4.1, compute the test statistic.
(Round to two decimal places as needed.)
(b) Draw a t-distribution with the area that represents the P-value shaded. Which of the following graphs shows the correct shaded region?
OA.
OB.
OC.
(c) Approximate the P-value. Choose the correct range for the P-value below.
O A. 0.10 <P-value < 0.15
O B. 0.15 < P-value < 0.20
Transcribed Image Text:To test Hn: u= 20 versus H,: µ < 20, a simple random sample of size n= 17 is obtained from a population that is known to be normally distributed. Answer parts (a)-(d). Click here to view the t-Distribution Area in Right Tail. (a) If x = 18.1 and s = 4.1, compute the test statistic. (Round to two decimal places as needed.) (b) Draw a t-distribution with the area that represents the P-value shaded. Which of the following graphs shows the correct shaded region? OA. OB. OC. (c) Approximate the P-value. Choose the correct range for the P-value below. O A. 0.10 <P-value < 0.15 O B. 0.15 < P-value < 0.20
(c) Approximate the P-value. Choose the correct range for the P-value below.
O A. 0.10 <P-value < 0.15
O B. 0.15 <P-value < 0.20
OC. 0.025 < P-value < 0.05
O D. 0.05 <P-value < 0.10
(d) If the researcher decides to test this hypothesis at the a= 0.05 level of significance, will the researcher reject the null hypothesis?
O A. The researcher will not reject the null hypothesis since the P-value is less than a.
O B. The researcher will reject the null hypothesis since the P-value is not less than a.
OC. The researcher will reject the null hypothesis since the P-value is less than a.
O D. The researcher will not reject the null hypothesis since the P-value is not less than a.
Transcribed Image Text:(c) Approximate the P-value. Choose the correct range for the P-value below. O A. 0.10 <P-value < 0.15 O B. 0.15 <P-value < 0.20 OC. 0.025 < P-value < 0.05 O D. 0.05 <P-value < 0.10 (d) If the researcher decides to test this hypothesis at the a= 0.05 level of significance, will the researcher reject the null hypothesis? O A. The researcher will not reject the null hypothesis since the P-value is less than a. O B. The researcher will reject the null hypothesis since the P-value is not less than a. OC. The researcher will reject the null hypothesis since the P-value is less than a. O D. The researcher will not reject the null hypothesis since the P-value is not less than a.
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