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Previously an organization reported that American teenagers spent an average of 4.5 hours per week on the phone. A survey was conducted to determine if the mean is now higher in 2023. At hypothesis test with a significance level of a = 0.05 is conducted with an alternative hypothesis of HA:μ> 4. 5. Fifteen randomly chosen teenagers were asked how many hours per week they spend on their phone. The sample mean was 4.75 hours with a standard deviation of 2. This resulted in a test statistic of t = 0.48 and a p-value of 0. 318. Determine the appropriate interpretation of these results. There is a 31.8% chance that the true mean time American teenagers spend on their phone is 4.75 hours. There is a 31.8% chance that the true mean time American teenagers spend on their phone is more than 4.5 hours. 48% of samples of size 15 from the population of American teenagers have a mean length spent on their phone of more than 4.5 hours. If the mean time spent on the phone is 4.5 hours for all American teenagers, roughly 31.8% of samples of size 15 would have a mean as large as 4.75 hours.

Previously an organization reported that American teenagers spent an average of 4.5 hours per week on the phone. A survey was conducted to determine if the mean is now higher in 2023. At hypothesis test with a significance level of a = 0.05 is conducted with an alternative hypothesis of HA:μ> 4. 5. Fifteen randomly chosen teenagers were asked how many hours per week they spend on their phone. The sample mean was 4.75 hours with a standard deviation of 2. This resulted in a test statistic of t = 0.48 and a p-value of 0. 318. Determine the appropriate interpretation of these results. There is a 31.8% chance that the true mean time American teenagers spend on their phone is 4.75 hours. There is a 31.8% chance that the true mean time American teenagers spend on their phone is more than 4.5 hours. 48% of samples of size 15 from the population of American teenagers have a mean length spent on their phone of more than 4.5 hours. If the mean time spent on the phone is 4.5 hours for all American teenagers, roughly 31.8% of samples of size 15 would have a mean as large as 4.75 hours.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section: Chapter Questions
Problem 8SGR
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Previously an organization reported that American teenagers spent an average of 4.5 hours per week on the phone. A survey was conducted to determine if the mean is now higher in 2023. At hypothesis test with a significance level of α = 0.05 is conducted with an alternative hypothesis of HA:μ> 4. 5. Fifteen randomly chosen teenagers were asked how many hours per week they spend on their phone. The sample mean was 4.75 hours with a standard deviation of 2. This resulted in a test statistic of t = 0.48 and a p-value of 0. 318. Determine the appropriate interpretation of these results. There is a 31.8% chance that the true mean time American teenagers spend on their phone is 4.75 hours. There is a 31.8% chance that the true mean time American teenagers spend on their phone is more than 4.5 hours. 48% of samples of size 15 from the population of American teenagers have a mean length spent on their phone of more than 4.5 hours. If the mean time spent on the phone is 4.5 hours for all American teenagers, roughly 31.8% of samples of size 15 would have a mean as large as 4.75 hours.
Transcribed Image Text:Previously an organization reported that American teenagers spent an average of 4.5 hours per week on the phone. A survey was conducted to determine if the mean is now higher in 2023. At hypothesis test with a significance level of α = 0.05 is conducted with an alternative hypothesis of HA:μ> 4. 5. Fifteen randomly chosen teenagers were asked how many hours per week they spend on their phone. The sample mean was 4.75 hours with a standard deviation of 2. This resulted in a test statistic of t = 0.48 and a p-value of 0. 318. Determine the appropriate interpretation of these results. There is a 31.8% chance that the true mean time American teenagers spend on their phone is 4.75 hours. There is a 31.8% chance that the true mean time American teenagers spend on their phone is more than 4.5 hours. 48% of samples of size 15 from the population of American teenagers have a mean length spent on their phone of more than 4.5 hours. If the mean time spent on the phone is 4.5 hours for all American teenagers, roughly 31.8% of samples of size 15 would have a mean as large as 4.75 hours.
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