The average McDonald's restaurant generates $2.4 million in sales each year with a standard deviation of 0.4. Ian wants to know if the average sales generated by McDonald's restaurants in North Dakota is different than the worldwide average. He surveys 33 restaurants in North Dakota and finds the following data (in millions of dollars): 2.4, 2.7, 2.9, 2.9, 2.2, 2.2, 2.2, 2.6, 1.9, 2.6, 2.5, 2.5, 2.1, 2.7, 2.9, 2.4, 2.2, 2.9, 2.3, 2.5, 2.2, 2.2, 2, 2, 2.4, 2.2, 2.4, 3, 2.9, 2.5, 2.2, 1.9, 2.1 Perform a hypothesis test using a 5% level of significance. Step 1: State the null and alternative hypotheses. Ho: ?? H₂: ? (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 distribution mean and distribution standard deviation with

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 $2.4 million in sales each year with a standard deviation of
0.4. lan wants to know if the average sales generated by McDonald's restaurants in North Dakota is
different than the worldwide average. He surveys 33 restaurants in North Dakota and finds the following
data (in millions of dollars):
2.4, 2.7, 2.9, 2.9, 2.2, 2.2, 2.2, 2.6, 1.9, 2.6, 2.5, 2.5, 2.1, 2.7, 2.9, 2.4, 2.2, 2.9, 2.3, 2.5, 2.2, 2.2, 2, 2,
2.4, 2.2, 2.4, 3, 2.9, 2.5, 2.2, 1.9, 2.1
Perform a hypothesis test using a 5% level of significance.
Step 1: State the null and alternative hypotheses.
Ho:
Ha
(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
distribution mean
and distribution standard deviation
with
Transcribed Image Text:The average McDonald's restaurant generates $2.4 million in sales each year with a standard deviation of 0.4. lan wants to know if the average sales generated by McDonald's restaurants in North Dakota is different than the worldwide average. He surveys 33 restaurants in North Dakota and finds the following data (in millions of dollars): 2.4, 2.7, 2.9, 2.9, 2.2, 2.2, 2.2, 2.6, 1.9, 2.6, 2.5, 2.5, 2.1, 2.7, 2.9, 2.4, 2.2, 2.9, 2.3, 2.5, 2.2, 2.2, 2, 2, 2.4, 2.2, 2.4, 3, 2.9, 2.5, 2.2, 1.9, 2.1 Perform a hypothesis test using a 5% level of significance. Step 1: State the null and alternative hypotheses. Ho: Ha (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 distribution mean and distribution standard deviation with
Step 3: Find the p-value of the point estimate.
P(??♥
p-value
P(?✓ ? ✓
Step 4: Make a Conclusion About the null hypothesis.
Since the p-value
hypothesis.
?v
||
a, we Select an answer the null
We cannot conclude that the mean sales of McDonald's restaurants in North Dakota differ from
average McDonald's sales worldwide.
O We conclude that the mean sales of McDonald's restaurants in North Dakota differ from average
McDonald's sales worldwide.
Transcribed Image Text:Step 3: Find the p-value of the point estimate. P(??♥ p-value P(?✓ ? ✓ Step 4: Make a Conclusion About the null hypothesis. Since the p-value hypothesis. ?v || a, we Select an answer the null We cannot conclude that the mean sales of McDonald's restaurants in North Dakota differ from average McDonald's sales worldwide. O We conclude that the mean sales of McDonald's restaurants in North Dakota differ from average McDonald's sales worldwide.
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