A simple random sample of 27 filtered 100-mm cigarettes is obtained from a normally distributed population, and the tar content of each cigarette is measured. The sample has a standard deviation of 0.18 mg. Use a 0.01 significance level to test the claim that the tar content of filtered 100-mm cigarettes has a standard deviation different from 0.25 mg, which is the standard deviation for unfiltered king-size cigarettes. Complete parts (a) through (d) below. a. What are the null and alternative hypotheses? A. Ho: o= 0.25 mg H:0+0.25 mg ОВ. Н; о0.25 mg H:6 =0.25 mg Ос. На: в> 0.25 mg H:os0.25 mg O D. Ho: o = 0.25 mg H:o<0.25 mg b. Find the test statistic. 2= (Round to three decimal places as needed.)
A simple random sample of 27 filtered 100-mm cigarettes is obtained from a normally distributed population, and the tar content of each cigarette is measured. The sample has a standard deviation of 0.18 mg. Use a 0.01 significance level to test the claim that the tar content of filtered 100-mm cigarettes has a standard deviation different from 0.25 mg, which is the standard deviation for unfiltered king-size cigarettes. Complete parts (a) through (d) below. a. What are the null and alternative hypotheses? A. Ho: o= 0.25 mg H:0+0.25 mg ОВ. Н; о0.25 mg H:6 =0.25 mg Ос. На: в> 0.25 mg H:os0.25 mg O D. Ho: o = 0.25 mg H:o<0.25 mg b. Find the test statistic. 2= (Round to three 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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Find Test Statistic, P value, and Z score.
![A simple random sample of 27 filtered 100-mm cigarettes is obtained from a normally distributed population, and the tar content of each cigarette is measured. The sample has a standard deviation of 0.18 mg. Use a 0.01 significance level to test the claim that the tar content of filtered 100-mm cigarettes has a standard deviation different from 0.25 mg, which is the standard deviation for unfiltered king-size cigarettes. Complete parts (a) through (d) below.
a. What are the null and alternative hypotheses?
- Option A:
- \( H_0: \sigma = 0.25 \) mg
- \( H_1: \sigma \neq 0.25 \) mg
- Option B:
- \( H_0: \sigma \neq 0.25 \) mg
- \( H_1: \sigma = 0.25 \) mg
- Option C:
- \( H_0: \sigma > 0.25 \) mg
- \( H_1: \sigma \leq 0.25 \) mg
- Option D:
- \( H_0: \sigma = 0.25 \) mg
- \( H_1: \sigma < 0.25 \) mg
Option A is selected.
b. Find the test statistic.
Calculate \( \chi^2 \) and round to three decimal places as needed.
\[ \chi^2 = \text{[box for input]} \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3789ab04-45fa-4e38-bc7e-0e52930d736c%2F92fd6c24-f4b6-468e-ab82-a67990c82b4e%2Fxfrwjo_processed.png&w=3840&q=75)
Transcribed Image Text:A simple random sample of 27 filtered 100-mm cigarettes is obtained from a normally distributed population, and the tar content of each cigarette is measured. The sample has a standard deviation of 0.18 mg. Use a 0.01 significance level to test the claim that the tar content of filtered 100-mm cigarettes has a standard deviation different from 0.25 mg, which is the standard deviation for unfiltered king-size cigarettes. Complete parts (a) through (d) below.
a. What are the null and alternative hypotheses?
- Option A:
- \( H_0: \sigma = 0.25 \) mg
- \( H_1: \sigma \neq 0.25 \) mg
- Option B:
- \( H_0: \sigma \neq 0.25 \) mg
- \( H_1: \sigma = 0.25 \) mg
- Option C:
- \( H_0: \sigma > 0.25 \) mg
- \( H_1: \sigma \leq 0.25 \) mg
- Option D:
- \( H_0: \sigma = 0.25 \) mg
- \( H_1: \sigma < 0.25 \) mg
Option A is selected.
b. Find the test statistic.
Calculate \( \chi^2 \) and round to three decimal places as needed.
\[ \chi^2 = \text{[box for input]} \]
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