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The average McDonald's restaurant generates $3.6 million in sales each year with a standard deviation of 0.9. Erik wants to know if the average sales generated by McDonald's restaurants in Idaho is different than the worldwide average. He surveys 27 restaurants in Idaho and finds the following data (in millions of dollars): 4, 2.3, 4.9, 1.5, 3, 3.6, 4.1, 4.2, 4.4, 4, 4.5, 3.5, 4.1, 4.5, 3.4, 3.4, 4.1, 3.8, 3, 2.9, 3.1, 4.3, 3.7, 3.1, 2.9, 4.5, 5.1 Perform a hypothesis test using a 1% level of significance.

The average McDonald's restaurant generates $3.6 million in sales each year with a standard deviation of 0.9. Erik wants to know if the average sales generated by McDonald's restaurants in Idaho is different than the worldwide average. He surveys 27 restaurants in Idaho and finds the following data (in millions of dollars): 4, 2.3, 4.9, 1.5, 3, 3.6, 4.1, 4.2, 4.4, 4, 4.5, 3.5, 4.1, 4.5, 3.4, 3.4, 4.1, 3.8, 3, 2.9, 3.1, 4.3, 3.7, 3.1, 2.9, 4.5, 5.1 Perform a hypothesis test using a 1% level of significance.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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The average McDonald's restaurant generates $3.6 million in sales each year with a standard deviation of 0.9. Erik wants to know if the average sales generated by McDonald's restaurants in Idaho is different than the worldwide average. He surveys 27 restaurants in Idaho and finds the following data (in millions of dollars): 4, 2.3, 4.9, 1.5, 3, 3.6, 4.1, 4.2, 4.4, 4, 4.5, 3.5, 4.1, 4.5, 3.4, 3.4, 4.1, 3.8, 3, 2.9, 3.1, 4.3, 3.7, 3.1, 2.9, 4.5, 5.1 Perform a hypothesis test using a 1% level of significance. Step 1: State the null and alternative hypotheses. Ho: ?v? v H.: ?v (So we will be performing v Select an answe est.) left-tailed right-tailed determine the features of the distribution of Step 2: Assuming the nul point estimates using th two-tailed brem. By the Central Limit Theorem, we know that the point estimates are normally distributed v with distribution mean and distribution standard deviation Step 3: Find the p-value of the point estimate.
Transcribed Image Text:The average McDonald's restaurant generates $3.6 million in sales each year with a standard deviation of 0.9. Erik wants to know if the average sales generated by McDonald's restaurants in Idaho is different than the worldwide average. He surveys 27 restaurants in Idaho and finds the following data (in millions of dollars): 4, 2.3, 4.9, 1.5, 3, 3.6, 4.1, 4.2, 4.4, 4, 4.5, 3.5, 4.1, 4.5, 3.4, 3.4, 4.1, 3.8, 3, 2.9, 3.1, 4.3, 3.7, 3.1, 2.9, 4.5, 5.1 Perform a hypothesis test using a 1% level of significance. Step 1: State the null and alternative hypotheses. Ho: ?v? v H.: ?v (So we will be performing v Select an answe est.) left-tailed right-tailed determine the features of the distribution of Step 2: Assuming the nul point estimates using th two-tailed brem. By the Central Limit Theorem, we know that the point estimates are normally distributed v with distribution mean and distribution standard deviation Step 3: Find the p-value of the point estimate.
Step 1: State the null and alternative hypotheses. Ho: ? ?v H: ? v (So we will be performing a Select an answer |test.) Step 2: Assuming the null hypothesis is true, determine the features of the distribution of point estimates using the Central Limit Theorem. Select an answer By the Central Limit Theorem, we know that the point estimates ar v normally distributd ith t-distributed distribution mean and distribution standard deviation Step 3: Find the p-value of the point estimate. P? v? v = P( ?♥ | ? v p-value = Step 4: Make a Conclusion About the null hypothesis. = a, we Select an answer v the null hypothesis. Since the p-value = O We cannot conclude that the mean sales of McDonald's restaurants in Idaho differ from average McDonald's sales worldwide. O We conclude that the mean sales of McDonald's restaurants in ldaho differ from average McDonald's sales worldwide.
Transcribed Image Text:Step 1: State the null and alternative hypotheses. Ho: ? ?v H: ? v (So we will be performing a Select an answer |test.) Step 2: Assuming the null hypothesis is true, determine the features of the distribution of point estimates using the Central Limit Theorem. Select an answer By the Central Limit Theorem, we know that the point estimates ar v normally distributd ith t-distributed distribution mean and distribution standard deviation Step 3: Find the p-value of the point estimate. P? v? v = P( ?♥ | ? v p-value = Step 4: Make a Conclusion About the null hypothesis. = a, we Select an answer v the null hypothesis. Since the p-value = O We cannot conclude that the mean sales of McDonald's restaurants in Idaho differ from average McDonald's sales worldwide. O We conclude that the mean sales of McDonald's restaurants in ldaho differ from average McDonald's sales worldwide.
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