To test Ho: 20 versus H:<20, a simple random sample of size n= 20 is obtained from a population that is known to be normally distributed. Answer parts (a)-(d). | Click here to view the -Distribution Area in Right Talil. (a) If = 18.3 and s-3.8, compute the test statistic. t-O (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? OB. Oc. (C) Appraximate the P-value. Choose the correct range for the P-value below. A. 0.05

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To test Ho: = 20 versus H;: u< 20, a simple random sample of size n= 20 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= 18.3 and s= 3.8, 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?
OB.
Oc.
A.
(c) Approximate the P-value. Choose the correct range for the P-value below.
A. 0.05 < P-value <0.10
B. 0.025 <P-value <0.05
c. 0.10 < P-value <0.15
D. 0.15 < P-value <0.20
(d) If the researcher decides to test this hypothesis at the a=0.05 level of significance, will the researcher reject the null hypothesis?
A. The researcher will not reject the null hypothesis since the P-value is less than a.
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.
D. The researcher will not reject the null hypothesis since the P-value is not less than a.
O O O
O O O O
Transcribed Image Text:To test Ho: = 20 versus H;: u< 20, a simple random sample of size n= 20 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= 18.3 and s= 3.8, 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? OB. Oc. A. (c) Approximate the P-value. Choose the correct range for the P-value below. A. 0.05 < P-value <0.10 B. 0.025 <P-value <0.05 c. 0.10 < P-value <0.15 D. 0.15 < P-value <0.20 (d) If the researcher decides to test this hypothesis at the a=0.05 level of significance, will the researcher reject the null hypothesis? A. The researcher will not reject the null hypothesis since the P-value is less than a. 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. D. The researcher will not reject the null hypothesis since the P-value is not less than a. O O O O O O O
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