In the testing of hypotheses about the population mean, if the sample size is increased keeping other things like the significance level a same, the critical mean values for the rejection regionremain the samemove further away from the hypothesized valuemove closer to the hypothesized valuechange from z-distribution to t-distribution

Answered: In the testing of hypotheses about the…

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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In the testing of hypotheses about the population mean, if the sample size is increased keeping other things like the significance level a same, the critical mean values for the rejection region
remain the same
move further away from the hypothesized value
move closer to the hypothesized value
change from z-distribution to t-distribution

Expert Solution

Step 1:- Reason

The critical value used by the Statistician must be related to the sample size (n). when sample sizes are greater than 30, the differences in critical values between the t-distribution and the normal-shaped sampling distribution are negligible.

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