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Unit 4: Hypothesis Testing Introduction Improving the Kahana Definition Summary At left you will see an outline of the topics covered in Unit 4:...

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Unit 4: Hypothesis Testing Introduction Improving the Kahana Definition Summary Single Population Means The Restaurant Revenue Problem Hypothesis Tests for Single Population Means Summary One-sided Hypothesis Tests Summary Excel Utility (Single Populations) Solving the Restaurant Revenue Problem Exercise 1: Oma's Pretzels Exercise 2: The Clearwater Power Company Exercise 3: Neshey's Smooches Single Population Proportions The Restaurant Ambiance Problem Hypothesis Tests for Single Population Proportions Summary Solving the Restaurant Ambiance Problem Exercise 1: The Ventura Insurance Company P-Values Leo Demands a Deeper Understanding P-Values Summary Solving the Restaurant Revenue Problem (Part II) Exercise 1: Oma's Revisited Exercise 2: Neshey's Revisited Comparing Two Populations Leisure Guests vs. Business Guests: Who spends more? Using Hypothesis Tests to Compare Two Population Means Summary Hypothesis Tests for Two Population Proportions Optional Example Summary Excel Utility (Two Populations) Solving the Leisure vs. Business Guest Spending Problem Exercise 1: The Burger Baron Exercise 2: Karnivorous Kong vs. Peter the Pipsqueak Exercise 3: Grapefruit Bizarre Challenge: LeMer Fashion Design At left you will see an outline of the topics covered in Unit 4: Hypothesis Testing. There are two homework problems associated with this unit. There is one tab for each problem in this workbook. Once you have completed the unit online, you should attempt these problems and submit them to your coach for assessment and feedback.
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Amount Q-1c: Z Test of Hypothesis for the Mean 1.973 1.996 Data 2.109 2 1.957 Level of Significance 0.05 1.941 Population Standard Deviation 0.0445636623 1.981 Sample Size 50 2.012 Sample Mean 2.00072 1.894 1.969 Intermediate Calculations 2.086 Standard Error of the Mean 0.0063022536 1.999 Z Test Statistic 0.1142448479 2.014 2.029 Two-Tail Test 1.966 Lower Critical Value -1.9599639845 2.052 Upper Critical Value 1.9599639845 1.938 0.9090437011 1.963 Do not reject the null hypothesis 1.992 2.010 Q-1f: Z Test of Hypothesis for the Mean 2.015 2.005 Data 2.031 2 1.951 Level of Significance 0.05 1.951 Population Standard Deviation 0.0445636623 2.023 Sample Size 50 2.038 Sample Mean 2.00072 2.075 1.967 Intermediate Calculations 2.003 Standard Error of the Mean 0.0063022536 1.971 Z Test Statistic 0.1142448479 1.997 2.012 Lower-Tail Test 2.065 Lower Critical Value -1.644853627 1.941 0.5454781494 2.012 Do not reject the null hypothesis 2.057 1.908 2.025 1.994 2.036 2.066 1.984 1.986 2.020 2.044 2.013 2.014 1.975 1.947 2.029 Null Hypothesis μ = p -Value Null Hypothesis μ = p -Value The following data represent the actual amount of soda in a sample of fifty 2-liter bottles. You are in charge of production and must assure that the bottles don't have too much or too little in them. At the 0.05 level of significance, is there evidence to suggest that the mean amount of soda filled is different from 2.0 liters? Q-1a: State the null hypothesis. Null Hypothesis: Mean amount of soda filled in the bottles = 2 liters. (µ = 2) Q-1b: State the alternate hypothesis. Alternate Hypothesis: Mean amount of soda filled in the bottles ≠ 2 liters. (µ ≠ 2) Q-1c: Perform the hypothesis test and state your conclusions and evidence. The test statistic used is . Rejection Criteria- Reject the null hypothesis, if the absolute value of calculated test statistic is greater than the critical value of Z at the 0.05 significance level. Conclusion- Fails to reject the null hypothesis due to the absolute value of calculated test statistic is less than the critical value of Z. Not enough evidence from the sample to support the claim that the mean amount of soda filled is different from 2.0 liters. Suppose you didn't care if the bottles had too much, you only cared if the quantity in the bottles was less than 2.0 liters. Q-1d: State the new null hypothesis. New Null Hypothesis: Mean amount of soda filled in the bottles ≥ 2 liters. (µ ≥ 2) Q-1e: State the new alternative hypothesis. New Alternative Hypothesis: Mean amount of soda filled in the bottles < 2 litres. (µ < 2) Q-1f: Perform the hypothesis test and state your conclusions and evidence. The test statistic used is . Rejection Criteria- Reject the null hypothesis, if the calculated value of test statistic is greater than the critical value of Z at the 0.05 significance level. Conclusion- Fails to reject the null hypothesis, since the absolute value of calculated test statistic is less than the critical value of Z. Still not enough evidence to support the claim that the mean amount of soda filled is less than 2.0 liters.
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Unit 4: Hypothesis Testing
Introduction Improving the Kahana
Definition
Summary At left you will see an outline of the topics covered in
Unit 4: Hypothesis Testing. The Restaurant Revenue Problem...

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