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/2 (d) Will the researcher reject the null hypothesis? O A. No, because the test statistic does not fall in the critical region. O B. No, because the test statistic falls in the critical region. O c. Yes, because the test statistic does not fall in the critical region. O D. Yes, because the test statistic falls in the critical region.

/2 (d) Will the researcher reject the null hypothesis? O A. No, because the test statistic does not fall in the critical region. O B. No, because the test statistic falls in the critical region. O c. Yes, because the test statistic does not fall in the critical region. O D. Yes, because the test statistic falls in the critical region.

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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Question 4

Answer part D only!!

To test Ho: µ= 40 versus H, : µ< 40, a random sample of size n = 25 is obtained from a population that is known to be normally distributed. Complete parts (a) through (d) below. Click here to view the t-Distribution Area in Right Tail. (a) If x = 37.4 and s = 13.6, compute the test statistic. to= 0.956 (Round to three decimal places as needed.) (b) If the researcher decides to test this hypothesis at the a = 0.05 level of significance, determine the critical value(s). Although technology or a t-distribution table can be used to find the critical value, in this problem use the t-distribution table given. Critical Value: - 1.711 (Round to three decimal places. Use CO hma to separate answers as needed.) (c) Draw a t-distribution that depicts the critical region. Choose the correct answer below. A. В. C. ta - ta - ta/2 ta/2 (d) Will the researcher reject the null hypothesis? O A. No, because the test statistic does not fall in the critical region. B. No, because the test statistic falls in the critical region. C. Yes, because the test statistic does not fall in the critical region. O D. Yes, because the test statistic falls in the critical region.
Transcribed Image Text:To test Ho: µ= 40 versus H, : µ< 40, a random sample of size n = 25 is obtained from a population that is known to be normally distributed. Complete parts (a) through (d) below. Click here to view the t-Distribution Area in Right Tail. (a) If x = 37.4 and s = 13.6, compute the test statistic. to= 0.956 (Round to three decimal places as needed.) (b) If the researcher decides to test this hypothesis at the a = 0.05 level of significance, determine the critical value(s). Although technology or a t-distribution table can be used to find the critical value, in this problem use the t-distribution table given. Critical Value: - 1.711 (Round to three decimal places. Use CO hma to separate answers as needed.) (c) Draw a t-distribution that depicts the critical region. Choose the correct answer below. A. В. C. ta - ta - ta/2 ta/2 (d) Will the researcher reject the null hypothesis? O A. No, because the test statistic does not fall in the critical region. B. No, because the test statistic falls in the critical region. C. Yes, because the test statistic does not fall in the critical region. O D. Yes, because the test statistic falls in the critical region.
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