The average McDonald's restaurant generates $3.6 million in sales each year with a standard deviation of 0.9. Trent wants to know if the average sales generated by McDonald's restaurants in Kentucky is different than the worldwide average. He surveys 27 restaurants in Kentucky and finds the following data (in millions of dollars): 4.1, 2.8, 4.4, 4.5, 5.3, 5, 3.7, 2.9, 3.8, 4.8, 3.6, 2.3, 3.7, 2.9, 2.9, 4, 1.1, 5.2, 2.9, 5, 4, 4, 5.9, 3.2, 2.2, 4.3, 3.8 Perform a hypothesis test using a 3% level of significance. Step 1: State the null and alternative hypotheses. Họ: [? 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 Select an answer with distribution mean and distribution standard deviation Step 3: Find the p-value of the point estimate. P(? v ? v P( ? v ? v %3D

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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The average McDonald's restaurant generates $3.6 million in sales each year with a standard deviation of
0.9. Trent wants to know if the average sales generated by McDonald's restaurants in Kentucky is different
than the worldwide average. He surveys 27 restaurants in Kentucky and finds the following data (in millions
of dollars):
4.1, 2.8, 4.4, 4.5, 5.3, 5, 3.7, 2.9, 3.8, 4.8, 3.6, 2.3, 3.7, 2.9, 2.9, 4, 1.1, 5.2, 2.9, 5, 4, 4, 5.9, 3.2, 2.2,
4.3, 3.8
Perform a hypothesis test using a 3% level of significance.
Step 1: State the null and alternative hypotheses.
Ho: [? v] ? v
На: ?
? 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.
By the Central Limit Theorem, we know that the point estimates are Select an answer
v with 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.
Since the p-value
? v
= a, we Select an answer v the null hypothesis.
We cannot conclude that the mean sales of McDonald's restaurants in Kentucky differ from average
McDonald's sales worldwide.
We conclude that the mean sales of McDonald's restaurants in Kentucky differ from average
McDonald's sales worldwide.
||
Transcribed Image Text:The average McDonald's restaurant generates $3.6 million in sales each year with a standard deviation of 0.9. Trent wants to know if the average sales generated by McDonald's restaurants in Kentucky is different than the worldwide average. He surveys 27 restaurants in Kentucky and finds the following data (in millions of dollars): 4.1, 2.8, 4.4, 4.5, 5.3, 5, 3.7, 2.9, 3.8, 4.8, 3.6, 2.3, 3.7, 2.9, 2.9, 4, 1.1, 5.2, 2.9, 5, 4, 4, 5.9, 3.2, 2.2, 4.3, 3.8 Perform a hypothesis test using a 3% level of significance. Step 1: State the null and alternative hypotheses. Ho: [? v] ? v На: ? ? 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. By the Central Limit Theorem, we know that the point estimates are Select an answer v with 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. Since the p-value ? v = a, we Select an answer v the null hypothesis. We cannot conclude that the mean sales of McDonald's restaurants in Kentucky differ from average McDonald's sales worldwide. We conclude that the mean sales of McDonald's restaurants in Kentucky differ from average McDonald's sales worldwide. ||
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