If the researcher decides to test this hypothesis at the α=0.05 level of​ significance, determine the critical​ value(s). Although technology or a​ t-distribution table can

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(b) If the researcher decides to test this hypothesis at the α=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.

To test Ho: μ = 40 versus H₁: μ< 40, a random sample of size n = 22 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= 36.6 and s = 10.6, compute the test statistic.
to = 1.504 (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:
(Round to three decimal places. Use a comma to separate answers as needed.)
Transcribed Image Text:To test Ho: μ = 40 versus H₁: μ< 40, a random sample of size n = 22 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= 36.6 and s = 10.6, compute the test statistic. to = 1.504 (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: (Round to three decimal places. Use a comma to separate answers as needed.)
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