To test Ho μ = 20 versus H₁ μ<20, a simple random sample of size n = 16 is obtained from a population that is known to be normally distributed. Answer parts ( Click here to view the t-Distribution Area in Right Tail (a) If x= 18.4 and s=4.1, compute the test statistic. t= -1.56 (Round to two decimal places as needed.) CECO (b) Draw a t-distribution with the area that represents the P-value shaded. Which of the following graphs shows the correct shaded region? MB 5 Q Q

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To test Hoμ= 20 versus H₁: μ<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).
Click here to view the t-Distribution Area in Right Tail.
(a) If x= 18.4 and s=4.1, compute the test statistic.
t = -1.56 (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?
DA.
VB.
C
Q
Q
0
(c) Approximate the P-value. Choose the correct range for the P-value below.
A 0.05<P-value < 0.10
B. 0.10< P-value < 0.15
C 0.15 < P-value <0.20
D. 0.20 < P-value < 0.25
...
Q
Q
(d) If the researcher decides to test this hypothesis at the a= 0.05 level of significance, will the researcher reject the null hypothesis?
Q
Q
2
Transcribed Image Text:To test Hoμ= 20 versus H₁: μ<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). Click here to view the t-Distribution Area in Right Tail. (a) If x= 18.4 and s=4.1, compute the test statistic. t = -1.56 (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? DA. VB. C Q Q 0 (c) Approximate the P-value. Choose the correct range for the P-value below. A 0.05<P-value < 0.10 B. 0.10< P-value < 0.15 C 0.15 < P-value <0.20 D. 0.20 < P-value < 0.25 ... Q Q (d) If the researcher decides to test this hypothesis at the a= 0.05 level of significance, will the researcher reject the null hypothesis? Q Q 2
To test Ho: μ = 20 versus H₁ μ<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).
Click here to view the t-Distribution Area in Right Tail.
A
(c) Approximate the P-value. Choose the correct range for the P-value below.
A. 0.05< P-value < 0.10
OB. 0.10< P-value < 0.15
OC 0.15<P-value <0.20
OD. 0.20<P-value < 0.25
4
(d) If the researcher decides to test this hypothesis at the x = 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 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 not less than a
OD. The researcher will reject the null hypothesis since the P-value is less than a
A
G
Transcribed Image Text:To test Ho: μ = 20 versus H₁ μ<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). Click here to view the t-Distribution Area in Right Tail. A (c) Approximate the P-value. Choose the correct range for the P-value below. A. 0.05< P-value < 0.10 OB. 0.10< P-value < 0.15 OC 0.15<P-value <0.20 OD. 0.20<P-value < 0.25 4 (d) If the researcher decides to test this hypothesis at the x = 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 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 not less than a OD. The researcher will reject the null hypothesis since the P-value is less than a A G
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