ompleté parts (a) through (c) below. (a) Determine the critical value(s) for a right-tailed test of a population mean at the a = 0.01 level of significance with 15 degrees of freedom. (b) Determine the critical value(s) for a left-tailed test of a population mean at the a = 0.05 level of significance based on a sample size of n= 10. (c) Determine the critical value(s) for a two-tailed test of a population mean at the a = 0.05 level of significance based on a sample size of n= 13. E Click here to view the t-Distribution Area in Right Tail. (a) tcrit + 2.602 (Round to three decimal places as needed.) (b) terit = 1.833 (Round to three decimal places as needed.) (c) terit= (Round to three decimal places as needed.)
ompleté parts (a) through (c) below. (a) Determine the critical value(s) for a right-tailed test of a population mean at the a = 0.01 level of significance with 15 degrees of freedom. (b) Determine the critical value(s) for a left-tailed test of a population mean at the a = 0.05 level of significance based on a sample size of n= 10. (c) Determine the critical value(s) for a two-tailed test of a population mean at the a = 0.05 level of significance based on a sample size of n= 13. E Click here to view the t-Distribution Area in Right Tail. (a) tcrit + 2.602 (Round to three decimal places as needed.) (b) terit = 1.833 (Round to three decimal places as needed.) (c) terit= (Round to three decimal places as needed.)
MATLAB: An Introduction with Applications
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![**Critical Values in Hypothesis Testing**
In hypothesis testing, determining critical values is essential for deciding whether to reject the null hypothesis. Below, we will find the critical values for different types of tests and levels of significance using Student's t-distribution.
Complete parts (a) through (c) below.
**(a)** Determine the critical value(s) for a right-tailed test of a population mean at the α = 0.01 level of significance with 15 degrees of freedom.
- \( t_{\text{crit}} = + 2.602 \) (Round to three decimal places as needed.)
**(b)** Determine the critical value(s) for a left-tailed test of a population mean at the α = 0.05 level of significance based on a sample size of \( n = 10 \).
- \( t_{\text{crit}} = - 1.833 \) (Round to three decimal places as needed.)
**(c)** Determine the critical value(s) for a two-tailed test of a population mean at the α = 0.05 level of significance based on a sample size of \( n = 13 \).
- \( t_{\text{crit}} = \pm \) [ ] (Round to three decimal places as needed.)
> *Click here to view the t-Distribution Area in Right Tail.*](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd9c0c652-7fa5-4329-9b4d-671364bafb1a%2Ff9cc8241-1596-4b14-9137-64f925cf4927%2Fskxm7zh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Critical Values in Hypothesis Testing**
In hypothesis testing, determining critical values is essential for deciding whether to reject the null hypothesis. Below, we will find the critical values for different types of tests and levels of significance using Student's t-distribution.
Complete parts (a) through (c) below.
**(a)** Determine the critical value(s) for a right-tailed test of a population mean at the α = 0.01 level of significance with 15 degrees of freedom.
- \( t_{\text{crit}} = + 2.602 \) (Round to three decimal places as needed.)
**(b)** Determine the critical value(s) for a left-tailed test of a population mean at the α = 0.05 level of significance based on a sample size of \( n = 10 \).
- \( t_{\text{crit}} = - 1.833 \) (Round to three decimal places as needed.)
**(c)** Determine the critical value(s) for a two-tailed test of a population mean at the α = 0.05 level of significance based on a sample size of \( n = 13 \).
- \( t_{\text{crit}} = \pm \) [ ] (Round to three decimal places as needed.)
> *Click here to view the t-Distribution Area in Right Tail.*
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