The average McDonald's restaurant generates $2.4 million in sales each year with a standard deviation of 0.7. Carissa wants to know if the average sales generated by McDonald's restaurants in New Mexico is different than the worldwide average. She surveys 18 restaurants in New Mexico and finds the following data (in millions of dollars): 2.1, 2, 2.9, 1.7, 1.8, 2.3, 2.1, 2.1, 3.3, 1.4, 1.6, 1.4, 1.4, 2.3, 2.6, 2.7, 2.7, 1.7 Perform a hypothesis test using a 8% level of significance. Step 1: State the null and alternative hypotheses. Но: 2.4 Ha: P 2.4 (So we will be performing a two-niled 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 0.164992 x and distribution standard deviation 0.16499316 Step 3: Find the p-value of the point estimate. P( sv 2.117 P(zv Sv 0.164992 0.043 %3D p-value = 0.164992 Step 4: Make a Conclusion About the null hypothesis. the null 0.164992 X = a, we do not reject Since the n-value = 0.086

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The average McDonald's restaurant generates $2.4 million in sales each year with a standard
deviation of 0.7. Carissa wants to know if the average sales generated by McDonald's restaurants in
New Mexico is different than the worldwide average. She surveys 18 restaurants in New Mexico and
finds the following data (in millions of dollars):
2.1, 2, 2.9, 1.7, 1.8, 2.3, 2.1, 2.1, 3.3, 1.4, 1.6, 1.4, 1.4, 2.3, 2.6, 2.7, 2.7, 1.7
Perform a hypothesis test using a 8% level of significance.
Step 1: State the null and alternative hypotheses.
Но:
2.4
Ha: Pv
2.4
(So we will be performing a two-ailed
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 ♥
with
distribution mean 0.164992
x and distribution standard deviation 0.16499316
Step 3: Find the p-value of the point estimate.
P( S 2.117
= P(zv
0.164992
0.043
p-value =
0.164992
Step 4: Make a Conclusion About the null hypothesis.
vv the null
0.164992
X = a, we do not reject
Since the p-value = 0.086
Transcribed Image Text:The average McDonald's restaurant generates $2.4 million in sales each year with a standard deviation of 0.7. Carissa wants to know if the average sales generated by McDonald's restaurants in New Mexico is different than the worldwide average. She surveys 18 restaurants in New Mexico and finds the following data (in millions of dollars): 2.1, 2, 2.9, 1.7, 1.8, 2.3, 2.1, 2.1, 3.3, 1.4, 1.6, 1.4, 1.4, 2.3, 2.6, 2.7, 2.7, 1.7 Perform a hypothesis test using a 8% level of significance. Step 1: State the null and alternative hypotheses. Но: 2.4 Ha: Pv 2.4 (So we will be performing a two-ailed 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 ♥ with distribution mean 0.164992 x and distribution standard deviation 0.16499316 Step 3: Find the p-value of the point estimate. P( S 2.117 = P(zv 0.164992 0.043 p-value = 0.164992 Step 4: Make a Conclusion About the null hypothesis. vv the null 0.164992 X = a, we do not reject Since the p-value = 0.086
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