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. Họ:?♥ ?v H.: ?♥ ?v (So we will be performing a Select an answer v test.) Step 2: Assuming the null hypothesis is true, determine the features of the distribution of point estimates using the Central Limit Theorem. By the Central Limit Theorem, we know that the point estimates are normally distributed v with and distribution standard deviation distribution mean Step 3: Find the p-value of the point estimate. P(? ? P( ? ? p-value Step 4: Make a Conclusion About the null hypothesis. = a, we Select an answer vthe null hypothesis. Since the p-value

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Author:Carter
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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
Ha: ?v
(So we will be performing a Select an answer v test.)
Step 2: Assuming the null hypothesis is true, determine the features of the distribution of
point estimates using the Central Limit Theorem.
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.
P(? ?
P? ?
p-value
Step 4: Make a Conclusion About the null hypothesis.
= a, we Select an answer v the null hypothesis.
Since the p-value
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 Ha: ?v (So we will be performing a Select an answer v test.) Step 2: Assuming the null hypothesis is true, determine the features of the distribution of point estimates using the Central Limit Theorem. 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. P(? ? P? ? p-value Step 4: Make a Conclusion About the null hypothesis. = a, we Select an answer v the null hypothesis. Since the p-value
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