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Kelly is a waitress and her average tip rate is 18%. After taking a sample of her tips from a week, she thinks her tip rate is actually higher. The data below is the tip rate for 15 randomly chosen checks (the numbers represent percentage). Assume that tip rates are normally distributed. 18.5 20 17.9 22 18 18.1 P-value= a) Express the null and alternative hypotheses in symbolic form for this claim. Ho: Select an answer H: Select an answer b) What is the test statistic. Round to 2 decimals. Dont forget to indicate if it is z= or t=. c) What is the p-value. Round to 4 decimals 17 21.3 17.5 d) Make a decision based on a c= .05 O Reject the null O Do not reject the null 18.2 17.9 20 e) What is the conclusion? 15 19.6 18 O There is not sufficient evidence to support the claim that Kelly's average tip rate is greater than 18% greater than 18% O There is sufficient evidence to support the claim that Kelly's average tip rate

Kelly is a waitress and her average tip rate is 18%. After taking a sample of her tips from a week, she thinks her tip rate is actually higher. The data below is the tip rate for 15 randomly chosen checks (the numbers represent percentage). Assume that tip rates are normally distributed. 18.5 20 17.9 22 18 18.1 P-value= a) Express the null and alternative hypotheses in symbolic form for this claim. Ho: Select an answer H: Select an answer b) What is the test statistic. Round to 2 decimals. Dont forget to indicate if it is z= or t=. c) What is the p-value. Round to 4 decimals 17 21.3 17.5 d) Make a decision based on a c= .05 O Reject the null O Do not reject the null 18.2 17.9 20 e) What is the conclusion? 15 19.6 18 O There is not sufficient evidence to support the claim that Kelly's average tip rate is greater than 18% greater than 18% O There is sufficient evidence to support the claim that Kelly's average tip rate

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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**Kelly's Tip Rate Hypothesis Testing** **Scenario:** Kelly is a waitress and her average tip rate is 18%. After taking a sample of her tips from a week, she thinks her tip rate is actually higher. The data below is the tip rate for 15 randomly chosen checks (the numbers represent percentages). Assume that tip rates are normally distributed. **Sample Data:** | 18.5 | 22 | 17 | 18.2 | 15 | |------|----|----|------|----| | 20 | 18 | 21.3 | 17.9 | 19.6 | | 17.9 | 18.1 | 17.5 | 20 | 18 | **Tasks:** a) **Express the Null and Alternative Hypotheses:** - \( H_0: \) (Null Hypothesis) - \( H_a: \) (Alternative Hypothesis) b) **What is the test statistic?** Round to 2 decimals. Don't forget to indicate if it is z or t-test. c) **What is the p-value?** Round to 4 decimals. d) **Make a decision based on a \( \alpha = 0.05 \):** - Reject the null. - Do not reject the null. e) **What is the conclusion?** - There is not sufficient evidence to support the claim that Kelly's average tip rate is greater than 18%. - There is sufficient evidence to support the claim that Kelly's average tip rate is greater than 18%.
Transcribed Image Text:**Kelly's Tip Rate Hypothesis Testing** **Scenario:** Kelly is a waitress and her average tip rate is 18%. After taking a sample of her tips from a week, she thinks her tip rate is actually higher. The data below is the tip rate for 15 randomly chosen checks (the numbers represent percentages). Assume that tip rates are normally distributed. **Sample Data:** | 18.5 | 22 | 17 | 18.2 | 15 | |------|----|----|------|----| | 20 | 18 | 21.3 | 17.9 | 19.6 | | 17.9 | 18.1 | 17.5 | 20 | 18 | **Tasks:** a) **Express the Null and Alternative Hypotheses:** - \( H_0: \) (Null Hypothesis) - \( H_a: \) (Alternative Hypothesis) b) **What is the test statistic?** Round to 2 decimals. Don't forget to indicate if it is z or t-test. c) **What is the p-value?** Round to 4 decimals. d) **Make a decision based on a \( \alpha = 0.05 \):** - Reject the null. - Do not reject the null. e) **What is the conclusion?** - There is not sufficient evidence to support the claim that Kelly's average tip rate is greater than 18%. - There is sufficient evidence to support the claim that Kelly's average tip rate is greater than 18%.
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