To test Ho: H = 20 versus H,:H< 20, a simple random sample of size n = 18 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 = 18.5 and s 4.2, 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? O A. ов. 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 Ho: H = 20 versus H1: µ< 20, a simple random sample of size n = 18 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 = 18.5 and s = 4.2, compute the test statistic.
t%3D
= (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?
O A.
O B.
Oc.
(c) Approximate the P-value. Choose the correct range for the P-value below.
A. 0.10 <P-value <0.15
O B. 0.05 < P-value < 0.10
O C. 0.15 < P-value < 0.20
O D. 0.20 < P-value < 0.25
(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 not less than a.
O B. The researcher will not reject the null hypothesis since the P-value is less than a.
O c. The researcher will reject the null hypothesis since the P-value is less than a.
O D. The researcher will reject the null hypothesis since the P-value is not less than a.
Transcribed Image Text:To test Ho: H = 20 versus H1: µ< 20, a simple random sample of size n = 18 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 = 18.5 and s = 4.2, compute the test statistic. t%3D = (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? O A. O B. Oc. (c) Approximate the P-value. Choose the correct range for the P-value below. A. 0.10 <P-value <0.15 O B. 0.05 < P-value < 0.10 O C. 0.15 < P-value < 0.20 O D. 0.20 < P-value < 0.25 (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 not less than a. O B. The researcher will not reject the null hypothesis since the P-value is less than a. O c. The researcher will reject the null hypothesis since the P-value is less than a. O D. The researcher will reject the null hypothesis since the P-value is not less than a.
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