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Ho: H₂ μl μ2=0 μl! = µ2 (b) Assume that experience with the satisfaction rating scale indicates that a population standard deviation of 14 is a reasonable assumption for both retailers. Conduct the hypothesis test. Calculate the test statistic. (Use #₁ - H₂. Round your answer to two decimal places.) 1.16 x X X Report the p-value. (Round your answer to four decimal places.) p-value=2460 X At a 0.05 level of significance what is your conclusion? O Reject Ho. There is sufficient evidence to conclude that the population mean satisfaction scores differ for the two retailers. Do not reject Ho. There is not sufficient evidence to conclude that the population mean satisfaction scores differ for the two retailers. O Reject Ho. There is not sufficient evidence to conclude that the population mean satisfaction scores differ for the two retailers. O Do not reject Ho. There is sufficient evidence to conclude that the population mean satisfaction scores differ for the two retailers. 65°F Mostly sunny (c) Which retailer, if either, appears to have the greater customer satisfaction? O Supermarket 1 O Supermarket 2 neither Need Help? Provide a 95% confidence interval for the difference between the population mean customer satisfaction scores for the two retailers. (Use x₁-x₂. Round your answers to two decimal places.) to Read It 6:38 PM D 10/9/2022

Ho: H₂ μl μ2=0 μl! = µ2 (b) Assume that experience with the satisfaction rating scale indicates that a population standard deviation of 14 is a reasonable assumption for both retailers. Conduct the hypothesis test. Calculate the test statistic. (Use #₁ - H₂. Round your answer to two decimal places.) 1.16 x X X Report the p-value. (Round your answer to four decimal places.) p-value=2460 X At a 0.05 level of significance what is your conclusion? O Reject Ho. There is sufficient evidence to conclude that the population mean satisfaction scores differ for the two retailers. Do not reject Ho. There is not sufficient evidence to conclude that the population mean satisfaction scores differ for the two retailers. O Reject Ho. There is not sufficient evidence to conclude that the population mean satisfaction scores differ for the two retailers. O Do not reject Ho. There is sufficient evidence to conclude that the population mean satisfaction scores differ for the two retailers. 65°F Mostly sunny (c) Which retailer, if either, appears to have the greater customer satisfaction? O Supermarket 1 O Supermarket 2 neither Need Help? Provide a 95% confidence interval for the difference between the population mean customer satisfaction scores for the two retailers. (Use x₁-x₂. Round your answers to two decimal places.) to Read It 6:38 PM D 10/9/2022

MATLAB: An Introduction with Applications
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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A consumer product testing organization uses a survey of readers to obtain customer satisfaction ratings for the nation's largest supermarkets. Each survey respondent is asked to rate a specified supermarket based on a variety of factors such as quality of products, selection, value, checkout efficiency, service, and layout. An overall satisfaction score summarizes the rating for each respondent, with 100 meaning the respondent is completely satisfied in terms of all factors. Suppose sample data representative of independent samples of two supermarkets' customers are shown below. **Data Table:** | | Supermarket 1 | Supermarket 2 | |----------------------|---------------|---------------| | Sample size (\(n\)) | 280 | 300 | | Mean (\(\bar{x}\)) | 83 | 82 | --- **(a)** Formulate the null and alternative hypotheses to test whether there is a difference between the population mean customer satisfaction scores for the two retailers. (Let \(\mu_1\) = the population mean satisfaction score for Supermarket 1's customers, and let \(\mu_2\) = the population mean satisfaction score for Supermarket 2's customers. Enter \( \neq \) for \( \ne \) as needed.) - \( H_0: \mu_1 - \mu_2 = 0 \) - \( H_a: \mu_1 - \mu_2 \neq 0 \) **(b)** Assume that experience with the satisfaction rating scale indicates that a population standard deviation of 14 is a reasonable assumption for both retailers. Conduct the hypothesis test. Calculate the test statistic. (Use \(\mu_1 = \mu_2\). Round your answer to two decimal places.) - Test statistic: \( 1.16 \) Report the p-value. (Round your answer to four decimal places.) - p-value: \( .2460 \) At a 0.05 level of significance, what is your conclusion? - **Do not reject \( H_0 \):** There is not sufficient evidence to conclude that the population mean satisfaction scores differ for the two retailers. **(c)** Which retailer, if either, appears to have the greater customer satisfaction? - Supermarket 1
Transcribed Image Text:A consumer product testing organization uses a survey of readers to obtain customer satisfaction ratings for the nation's largest supermarkets. Each survey respondent is asked to rate a specified supermarket based on a variety of factors such as quality of products, selection, value, checkout efficiency, service, and layout. An overall satisfaction score summarizes the rating for each respondent, with 100 meaning the respondent is completely satisfied in terms of all factors. Suppose sample data representative of independent samples of two supermarkets' customers are shown below. **Data Table:** | | Supermarket 1 | Supermarket 2 | |----------------------|---------------|---------------| | Sample size (\(n\)) | 280 | 300 | | Mean (\(\bar{x}\)) | 83 | 82 | --- **(a)** Formulate the null and alternative hypotheses to test whether there is a difference between the population mean customer satisfaction scores for the two retailers. (Let \(\mu_1\) = the population mean satisfaction score for Supermarket 1's customers, and let \(\mu_2\) = the population mean satisfaction score for Supermarket 2's customers. Enter \( \neq \) for \( \ne \) as needed.) - \( H_0: \mu_1 - \mu_2 = 0 \) - \( H_a: \mu_1 - \mu_2 \neq 0 \) **(b)** Assume that experience with the satisfaction rating scale indicates that a population standard deviation of 14 is a reasonable assumption for both retailers. Conduct the hypothesis test. Calculate the test statistic. (Use \(\mu_1 = \mu_2\). Round your answer to two decimal places.) - Test statistic: \( 1.16 \) Report the p-value. (Round your answer to four decimal places.) - p-value: \( .2460 \) At a 0.05 level of significance, what is your conclusion? - **Do not reject \( H_0 \):** There is not sufficient evidence to conclude that the population mean satisfaction scores differ for the two retailers. **(c)** Which retailer, if either, appears to have the greater customer satisfaction? - Supermarket 1
**Hypothesis Testing: Customer Satisfaction** **Hypotheses:** - \( H_0: \mu_1 - \mu_2 = 0 \) - \( H_1: \mu_1 - \mu_2 \neq 0 \) **(b) Conducting the Hypothesis Test:** Assume that experience with the satisfaction rating scale suggests a population standard deviation of 14 is reasonable for both retailers. **Test Statistic Calculation:** - Use the formula \(\mu_1 - \mu_2\). - Calculated value: 1.16 **p-value Reporting:** - Computed p-value: 2.460 (incorrect, as shown by the red cross) At a 0.05 level of significance, conclude: - **Do not reject \(H_0\):** There is not sufficient evidence to conclude that the population mean satisfaction scores differ for the two retailers. **(c) Customer Satisfaction Comparison:** **Question:** Which retailer, if either, appears to have the greater customer satisfaction? - Options: - Supermarket 1 - Supermarket 2 - Neither (Selected as correct) **Confidence Interval:** Provide a 95% confidence interval for the difference between the population mean customer satisfaction scores for the two retailers. Use \(\bar{x}_1 - \bar{x}_2\) and round your answers to two decimal places. **Note:** Additional calculations for confidence interval need to be performed, using appropriate statistical tools or formulas.
Transcribed Image Text:**Hypothesis Testing: Customer Satisfaction** **Hypotheses:** - \( H_0: \mu_1 - \mu_2 = 0 \) - \( H_1: \mu_1 - \mu_2 \neq 0 \) **(b) Conducting the Hypothesis Test:** Assume that experience with the satisfaction rating scale suggests a population standard deviation of 14 is reasonable for both retailers. **Test Statistic Calculation:** - Use the formula \(\mu_1 - \mu_2\). - Calculated value: 1.16 **p-value Reporting:** - Computed p-value: 2.460 (incorrect, as shown by the red cross) At a 0.05 level of significance, conclude: - **Do not reject \(H_0\):** There is not sufficient evidence to conclude that the population mean satisfaction scores differ for the two retailers. **(c) Customer Satisfaction Comparison:** **Question:** Which retailer, if either, appears to have the greater customer satisfaction? - Options: - Supermarket 1 - Supermarket 2 - Neither (Selected as correct) **Confidence Interval:** Provide a 95% confidence interval for the difference between the population mean customer satisfaction scores for the two retailers. Use \(\bar{x}_1 - \bar{x}_2\) and round your answers to two decimal places. **Note:** Additional calculations for confidence interval need to be performed, using appropriate statistical tools or formulas.
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