To test H₂: =20 versus H,: p<20, a simple random sample of size n=16 is obtained from a population that is known to be normally distributed Answer parts (a)-(d). (a) If x=18.4 and s=4.3, compute the test statistic. t=(Round to two decimal places as needed.) (b) Draw a 1-distribution with the area that represents the P-value shaded. Which of the following graphs shows the correct shaded region? OA COB. OC. A Q 1 (c) Approximate the P-value. Choose the correct range for the P-value below. OA 0.10

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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To test Ho: 20 versus H,: <20, a simple random sample of size n= 16 is obtained from a population that is known to be normally distributed. Answer parts (a)-(d).
(a) If x= 18.4 and s=4.3, 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.
A
Q
3
A
Q
(c) Approximate the P-value. Choose the correct range for the P-value below.
OA 0.10<P-value < 0.15
OB. 0,05 P-value <0.10
OC. 0.15<P-value <0.20
OD. 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?
OA. The researcher will not reject the null hypothesis since the P-value is not less than a
OB. The researcher will reject the null hypothesis since the P-value is not less than a
OC. The researcher will not reject the null hypothesis since the P-value is less than a
OD. The researcher will reject the null hypothesis since the P-value is less than a
A Ma
C
Transcribed Image Text:To test Ho: 20 versus H,: <20, a simple random sample of size n= 16 is obtained from a population that is known to be normally distributed. Answer parts (a)-(d). (a) If x= 18.4 and s=4.3, 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. A Q 3 A Q (c) Approximate the P-value. Choose the correct range for the P-value below. OA 0.10<P-value < 0.15 OB. 0,05 P-value <0.10 OC. 0.15<P-value <0.20 OD. 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? OA. The researcher will not reject the null hypothesis since the P-value is not less than a OB. The researcher will reject the null hypothesis since the P-value is not less than a OC. The researcher will not reject the null hypothesis since the P-value is less than a OD. The researcher will reject the null hypothesis since the P-value is less than a A Ma C
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