To test Ho: 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) Click here to view the t-Distribution Area in Right Tail. (a) If x=18 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? OB. OC. a A (c) Approximate the P-value. Choose the correct range for the P-value below. OA 0.15

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To test Ho: μ = 20 versus H₁: <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).
F
Click here to view the t-Distribution Area in Right Tail.
(a) If x=18 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?
OA
OB.
OC.
A
C
Aª
(c) Approximate the P-value. Choose the correct range for the P-value below
OA 0.15<P-value <0.20
OB. 0.05<P-value <0.10
OC. 0.025<P-value <0.05
OD. 0.10<P-value <0.15
(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 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
^º
Transcribed Image Text:To test Ho: μ = 20 versus H₁: <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). F Click here to view the t-Distribution Area in Right Tail. (a) If x=18 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? OA OB. OC. A C Aª (c) Approximate the P-value. Choose the correct range for the P-value below OA 0.15<P-value <0.20 OB. 0.05<P-value <0.10 OC. 0.025<P-value <0.05 OD. 0.10<P-value <0.15 (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 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 ^º
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