The lengths of time (in years) it took a random sample of 32 former smokers to quit smoking permanently are listed Assume the population standard deviation is 5.9 years. At a=0.01, is there enough evidence reject the claim that the mean time it takes smokers to quit smoking permanently is 14 years? Complete parts (a) through (e) 12.9 19 7 171 7.7 10.9 15.6 7.2 21.4 D 22.2 9.9 12.7 19.8 18.8 19.5 8.2 11.7 17.4 15.6 215 185 95 221 82 97
The lengths of time (in years) it took a random sample of 32 former smokers to quit smoking permanently are listed Assume the population standard deviation is 5.9 years. At a=0.01, is there enough evidence reject the claim that the mean time it takes smokers to quit smoking permanently is 14 years? Complete parts (a) through (e) 12.9 19 7 171 7.7 10.9 15.6 7.2 21.4 D 22.2 9.9 12.7 19.8 18.8 19.5 8.2 11.7 17.4 15.6 215 185 95 221 82 97
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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Looking at the data, answer the questions
![(b) Identify the standardized test statistic. Use technology.
\( z = \) [ ] (Round to two decimal places as needed.)
(c) Find the P-value. Use technology.
\( P = \) [ ] (Round to three decimal places as needed.)
(d) Decide whether to reject or fail to reject the null hypothesis and (e) interpret the decision in the context of the original claim at the 1% level of significance.
Options:
- **A.** Fail to reject \( H_0 \). There is sufficient evidence to reject the claim that the mean time it takes smokers to quit smoking permanently is 14 years.
- **B.** Reject \( H_0 \). There is not sufficient evidence to reject the claim that the mean time it takes smokers to quit smoking permanently is 14 years.
- **C.** Reject \( H_0 \). There is sufficient evidence to reject the claim that the mean time it takes smokers to quit smoking permanently is 14 years.
- **D.** Fail to reject \( H_0 \). There is not sufficient evidence to reject the claim that the mean time it takes smokers to quit smoking permanently is 14 years.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbe983b18-ee33-44db-82aa-7c6bfcc1e549%2F841010ec-d0e0-481c-9f3a-0db1790b6771%2Foo4png_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(b) Identify the standardized test statistic. Use technology.
\( z = \) [ ] (Round to two decimal places as needed.)
(c) Find the P-value. Use technology.
\( P = \) [ ] (Round to three decimal places as needed.)
(d) Decide whether to reject or fail to reject the null hypothesis and (e) interpret the decision in the context of the original claim at the 1% level of significance.
Options:
- **A.** Fail to reject \( H_0 \). There is sufficient evidence to reject the claim that the mean time it takes smokers to quit smoking permanently is 14 years.
- **B.** Reject \( H_0 \). There is not sufficient evidence to reject the claim that the mean time it takes smokers to quit smoking permanently is 14 years.
- **C.** Reject \( H_0 \). There is sufficient evidence to reject the claim that the mean time it takes smokers to quit smoking permanently is 14 years.
- **D.** Fail to reject \( H_0 \). There is not sufficient evidence to reject the claim that the mean time it takes smokers to quit smoking permanently is 14 years.
Transcribed Image Text:**Educational Content on Smoking Cessation Analysis**
The study presents the lengths of time (in years) it took a random sample of 32 former smokers to quit smoking permanently. The data is analyzed to examine if there's enough evidence to reject the claim that the mean time for smokers to quit permanently is 14 years. The population standard deviation is assumed to be 5.9 years. The significance level for the hypothesis test is set at α = 0.01.
Here is the data from the sample:
- **First Row**: 12.9, 19.7, 17.1, 7.7, 10.9, 15.6, 7.2, 21.4
- **Second Row**: 22.2, 9.9, 12.7, 19.8, 18.8, 19.5, 8.2, 11.7
- **Third Row**: 17.4, 15.6, 21.5, 18.5, 9.5, 22.1, 8.2, 9.4
- **Fourth Row**: 22.1, 20.7, 20.8, 17.7, 14.9, 18.6, 22.5, 18.1
**Analysis Parts (a) through (e)** will involve various statistical techniques to determine if the claim about the mean cessation time can be rejected based on the sample data provided.
Students will learn to apply statistical hypothesis testing to real-world scenarios, using the given data to evaluate claims about population means with respect to specified standard deviations and significance levels.
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