CCN and ActMedia provided a television channel targeted to individuals waiting in supermarket checkout lines. The channel showed news, short features, and advertisements. The length of the program was based on the assumption that the population mean time a shopper stands in a supermarket checkout line is 8.1 minutes. A sample of actual waiting times will be used to test this assumption and determine whether actual mean waiting time differs from this standard. a. Formulate the hypotheses for this application. Select your answer - v 8.1 1: °H H. : u- Select your answer - ♥ 8.1 b. A sample of 100 shoppers showed a sample mean waiting time of 8.9 minutes. Assume a population standard deviation of o = 2.8 minutes. What is the p- value? z value (to 2 decimals) p-value (to 4 decimals) c. At a = 0.02, what is your conclusion? Select your answer - - Select your answer - v conclude that the population mean waiting time differs from 8.1 minutes.
CCN and ActMedia provided a television channel targeted to individuals waiting in supermarket checkout lines. The channel showed news, short features, and advertisements. The length of the program was based on the assumption that the population mean time a shopper stands in a supermarket checkout line is 8.1 minutes. A sample of actual waiting times will be used to test this assumption and determine whether actual mean waiting time differs from this standard. a. Formulate the hypotheses for this application. Select your answer - v 8.1 1: °H H. : u- Select your answer - ♥ 8.1 b. A sample of 100 shoppers showed a sample mean waiting time of 8.9 minutes. Assume a population standard deviation of o = 2.8 minutes. What is the p- value? z value (to 2 decimals) p-value (to 4 decimals) c. At a = 0.02, what is your conclusion? Select your answer - - Select your answer - v conclude that the population mean waiting time differs from 8.1 minutes.
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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![**CCN and ActMedia Study on Supermarket Checkout Waiting Times**
**Background:**
CCN and ActMedia developed a television channel targeted at people waiting in supermarket checkout lines, featuring news, short features, and advertisements. The program duration was based on the assumption that the average waiting time in these lines is 8.1 minutes. An analysis will be conducted using a sample of actual waiting times to assess this assumption and determine if the actual mean differs from the standard.
**a. Hypothesis Formulation:**
- Null Hypothesis (\(H_0\)): \(\mu = 8.1\)
- Alternative Hypothesis (\(H_a\)): \(\mu \neq 8.1\)
**b. Sample Analysis:**
A sample of 100 shoppers revealed an average waiting time of 8.9 minutes, with a population standard deviation (\(\sigma\)) of 2.8 minutes. The task is to calculate the p-value.
- **z value:** (to 2 decimals)
- **p-value:** (to 4 decimals)
**c. Conclusion at \(\alpha = 0.02\):**
Evaluate the conclusion based on the significance level of \(0.02\).
- Conclusion: [Select appropriate option]
- Interpretation: Determine if the population mean waiting time significantly differs from 8.1 minutes.
**d. 98% Confidence Interval Calculation:**
Compute the 98% confidence interval for the population mean:
- Interval: \(([value], [value])\) (to 2 decimals)
**Does the Confidence Interval Support the Conclusion?**
Assess if the interval includes \(\mu = 8.1\):
- Decision: [Select appropriate option]
This analysis provides insight into whether the television channel's assumption about supermarket checkout waiting times holds true.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fba6262a5-d997-4fde-9cea-b71e30254a96%2F2d1a5639-1ede-4d47-84da-90015a64a99d%2Fffa59x6_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**CCN and ActMedia Study on Supermarket Checkout Waiting Times**
**Background:**
CCN and ActMedia developed a television channel targeted at people waiting in supermarket checkout lines, featuring news, short features, and advertisements. The program duration was based on the assumption that the average waiting time in these lines is 8.1 minutes. An analysis will be conducted using a sample of actual waiting times to assess this assumption and determine if the actual mean differs from the standard.
**a. Hypothesis Formulation:**
- Null Hypothesis (\(H_0\)): \(\mu = 8.1\)
- Alternative Hypothesis (\(H_a\)): \(\mu \neq 8.1\)
**b. Sample Analysis:**
A sample of 100 shoppers revealed an average waiting time of 8.9 minutes, with a population standard deviation (\(\sigma\)) of 2.8 minutes. The task is to calculate the p-value.
- **z value:** (to 2 decimals)
- **p-value:** (to 4 decimals)
**c. Conclusion at \(\alpha = 0.02\):**
Evaluate the conclusion based on the significance level of \(0.02\).
- Conclusion: [Select appropriate option]
- Interpretation: Determine if the population mean waiting time significantly differs from 8.1 minutes.
**d. 98% Confidence Interval Calculation:**
Compute the 98% confidence interval for the population mean:
- Interval: \(([value], [value])\) (to 2 decimals)
**Does the Confidence Interval Support the Conclusion?**
Assess if the interval includes \(\mu = 8.1\):
- Decision: [Select appropriate option]
This analysis provides insight into whether the television channel's assumption about supermarket checkout waiting times holds true.
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