Previously, an organization reported that teenagers spend 8.5 hours per week, on average, on the phone. The organization thinks that, currently, the mean is higher. Twenty-three randomly chosen teenagers were asked how many hours per week they spend on the phone, with the following results (in hours): 8.3, 8.5, 10.5, 2.9, 6.7, 7.7, 13.8, 7.8, 8.7, 11.8, 12, 6.1, 5.4, 5.8, 8.5, 7.9, 10.1, 11.1, 11.6, 12.9, 3.6, 6.4, 11.2 Perform a hypothesis test using a 3% level of significance. Step 1: State the null and alternative hypotheses. Ho: (? ? v H.: ?♥ ? (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(? ? D= P(? ?Y p-value = Step 4: Make a Conclusion About the null hypothesis. ? = a, we Select an answer the null hypothesis. Since the p-value %3D

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Previously, an organization reported that teenagers spend 8.5 hours per week, on average, on the
phone. The organization thinks that, currently, the mean is higher. Twenty-three randomly chosen
teenagers were asked how many hours per week they spend on the phone, with the following
results (in hours):
8.3, 8.5, 10.5, 2.9, 6.7, 7.7, 13.8, 7.8, 8.7, 11.8, 12, 6.1, 5.4, 5.8, 8.5, 7.9, 10.1, 11.1, 11.6, 12.9, 3.6, 6.4,
11.2
Perform a hypothesis test using a 3% level of significance.
Step 1: State the null and alternative hypotheses.
Ho: ??
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(? ♥ ?v
) = P(? ?v
p-value
%3D
Step 4: Make a Conclusion About the null hypothesis.
= a, we Select an answer ♥ the null hypothesis.
Since the p-value =
Transcribed Image Text:Previously, an organization reported that teenagers spend 8.5 hours per week, on average, on the phone. The organization thinks that, currently, the mean is higher. Twenty-three randomly chosen teenagers were asked how many hours per week they spend on the phone, with the following results (in hours): 8.3, 8.5, 10.5, 2.9, 6.7, 7.7, 13.8, 7.8, 8.7, 11.8, 12, 6.1, 5.4, 5.8, 8.5, 7.9, 10.1, 11.1, 11.6, 12.9, 3.6, 6.4, 11.2 Perform a hypothesis test using a 3% level of significance. Step 1: State the null and alternative hypotheses. Ho: ?? 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(? ♥ ?v ) = P(? ?v p-value %3D Step 4: Make a Conclusion About the null hypothesis. = a, we Select an answer ♥ the null hypothesis. Since the p-value =
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