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
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
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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(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 \( H_0: \mu = 40 \) versus \( H_1: \mu < 40 \), 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 \( \overline{x} = 36.6 \) and \( s = 10.6 \), compute the test statistic.
\[
t_0 = -1.504 \quad (\text{Round to three decimal places as needed.})
\]
(b) If the researcher decides to test this hypothesis at the \( \alpha = 0.05 \) 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.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F90b46f9c-dc81-440a-a4b0-38041cf6a708%2F073f79f7-7a26-41cc-8971-7148f86e3317%2Fowrlnu_processed.jpeg&w=3840&q=75)
Transcribed Image Text:To test \( H_0: \mu = 40 \) versus \( H_1: \mu < 40 \), 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 \( \overline{x} = 36.6 \) and \( s = 10.6 \), compute the test statistic.
\[
t_0 = -1.504 \quad (\text{Round to three decimal places as needed.})
\]
(b) If the researcher decides to test this hypothesis at the \( \alpha = 0.05 \) 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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