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Ho: μ=20 versus H₁: μ<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. If x= 18.4 and s=4.4, compute the test statistic. (Round to two decimal places as needed.) Draw a t-distribution with the area that represents the P-value shaded. Which of the following graphs shows the correct shaded region? A. OB. Q sª Approximate the P-value. Choose the correct range for the P-value below. A. 0.20 < P-value < 0.25 B. 0.15 < P-value <0.20 C. 0.10 < P-value < 0.15 D. 0.05 < P-value <0.10 A Q A. The researcher will not reject the null hypothesis since the P-value is not less than a. B. The researcher will not reject the null hypothesis since the P-value is less than a. C. The researcher will reject the null hypothesis since the P-value is not less than a. C G If the researcher decides to test this hypothesis at the a= 0.05 level of significance, will the researcher reject the null hypothesis? O C. ^

Ho: μ=20 versus H₁: μ<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. If x= 18.4 and s=4.4, compute the test statistic. (Round to two decimal places as needed.) Draw a t-distribution with the area that represents the P-value shaded. Which of the following graphs shows the correct shaded region? A. OB. Q sª Approximate the P-value. Choose the correct range for the P-value below. A. 0.20 < P-value < 0.25 B. 0.15 < P-value <0.20 C. 0.10 < P-value < 0.15 D. 0.05 < P-value <0.10 A Q A. The researcher will not reject the null hypothesis since the P-value is not less than a. B. The researcher will not reject the null hypothesis since the P-value is less than a. C. The researcher will reject the null hypothesis since the P-value is not less than a. C G If the researcher decides to test this hypothesis at the a= 0.05 level of significance, will the researcher reject the null hypothesis? O C. ^

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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 14PPS
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To test Ho: μ = 20 versus H₁ : µ< 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 = 18.4 and s=4.4, 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. B. A (c) Approximate the P-value. Choose the correct range for the P-value below. A. 0.20 < P-value < 0.25 B. 0.15 < P-value <0.20 OC. 0.10 < P-value < 0.15 D. 0.05 < P-value < 0.10 0 0 0 Q sa (d) If the researcher decides to test this hypothesis at the x = 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 not less than α. B. The researcher will not reject the null hypothesis since the P-value is less than α. OC. The researcher will reject the null hypothesis since the P-value is not less than α. ^
Transcribed Image Text:To test Ho: μ = 20 versus H₁ : µ< 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 = 18.4 and s=4.4, 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. B. A (c) Approximate the P-value. Choose the correct range for the P-value below. A. 0.20 < P-value < 0.25 B. 0.15 < P-value <0.20 OC. 0.10 < P-value < 0.15 D. 0.05 < P-value < 0.10 0 0 0 Q sa (d) If the researcher decides to test this hypothesis at the x = 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 not less than α. B. The researcher will not reject the null hypothesis since the P-value is less than α. OC. The researcher will reject the null hypothesis since the P-value is not less than α. ^
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