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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 G A (c) Approximate the P-value. Choose the correct range for the P-value below. OA 0.10

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 G A (c) Approximate the P-value. Choose the correct range for the P-value below. OA 0.10

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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
q 14 = 20 VBH₁:1 < 20 n = 16, (6 x = 18.4, s = 4.3 xill t = 1/5n CS Scanned with CamScanner 2 18.4-20 4.3/516 = -1.4884 =-1.49 (2-decimal) +6-1.49 df=n-1=16-1= 15 P-value = TODIST (-1.49, 15, TRUE) =010785 option (B) is the correct choice.
Transcribed Image Text:q 14 = 20 VBH₁:1 < 20 n = 16, (6 x = 18.4, s = 4.3 xill t = 1/5n CS Scanned with CamScanner 2 18.4-20 4.3/516 = -1.4884 =-1.49 (2-decimal) +6-1.49 df=n-1=16-1= 15 P-value = TODIST (-1.49, 15, TRUE) =010785 option (B) is the correct choice.
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