**Transcription for Educational Website:****Title: Hypothesis Testing for Mean Time to Quit Smoking Permanently****Problem Statement:**The lengths of time (in years) it took a random sample of 32 former smokers to quit smoking permanently are listed below. Assume the population standard deviation is 4.4 years. At a significance level of α = 0.02, is there enough evidence to reject the claim that the mean time it takes smokers to quit smoking permanently is 13 years? **Data Sample:**- Sample Times (in years): 15.2, 9.1, 14.1, 9.7, 11.2, 15.2, 12.5, 19.5, 16.4, 14.9, 22.1, 20.8, 18.5, 12.7, 8.5, 10.1, 15.4, 13.5, 13.7, 21.4, 16.7, 22.4, 7.4**Hypothesis Testing:**Choose the correct hypothesis:- **Option D:** $ H_0: \mu > 13 $; $ H_a: \mu \leq 13 $- **Option F (Correct):** $ H_0: \mu = 13 $ (claim); $ H_a: \mu \neq 13 $**Standardized Test Statistic:**(b) Identify the standardized test statistic using technology.- $ z = $ [Round to two decimal places as needed.]**Instruction:**Enter your answer in the answer box and then click Check Answer.*Note: A button to clear all and another to check the answer are present.***Additional Information:**The user interface includes navigation arrows and a part completion progress bar indicating "2 parts remaining."**Instructions for Educators:**Use this problem to teach hypothesis testing, focusing on calculating the test statistic and interpreting the results. Discuss the implications of the null and alternative hypotheses and guide students in using statistical software or calculators to compute the $ z $-score.

Answered: Image /qna-images/answer/8adc0c8a-9e4e-4c50-a703-95b3fb476b06.jpg

The lengths of time (in years) it took a random sample of 32 former smokers to quit smoking permanently are listed. Assume the populatic standard deviation is 4.4 years. At a= 0.02, is there enough evidence to reject the claim that the mean time it takes smokers to quit smoki permanently is 13 years? Complete parts (a) through (e). 15.2 9.1 14.1 9.7 11.2 14.5 15.2 12.5 O 19.5 16.4 14.9 22.1 20.8 18.5 7.7 8.5 10.1 15.4 13.8 13.7 21.4 16.7 22.4 7.4 O E. Ho: H#13 (claim) HaiH = 13 F. Ho:H= 13 (claim) Ha:H#13 D. Ho: H> 13 Ha: HS 13 (claim) (b) Identify the standardized test statistic. Use technology. z= (Round to two decimal places as needed.)

The lengths of time (in years) it took a random sample of 32 former smokers to quit smoking permanently are listed. Assume the populatic standard deviation is 4.4 years. At a= 0.02, is there enough evidence to reject the claim that the mean time it takes smokers to quit smoki permanently is 13 years? Complete parts (a) through (e). 15.2 9.1 14.1 9.7 11.2 14.5 15.2 12.5 O 19.5 16.4 14.9 22.1 20.8 18.5 7.7 8.5 10.1 15.4 13.8 13.7 21.4 16.7 22.4 7.4 O E. Ho: H#13 (claim) HaiH = 13 F. Ho:H= 13 (claim) Ha:H#13 D. Ho: H> 13 Ha: HS 13 (claim) (b) Identify the standardized test statistic. Use technology. z= (Round to two decimal places as needed.)

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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