(120 minutes). What would you need to know to determine if the one-sample t test is an appropriate method? (Select all that apply.) We would need to know that the distribution of the population of times is approximately normal or that the sample size is large. We would need to know that all observations are dependent or all observations are independent.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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In a study of media use, each person in a large representative sample of male Canadian high school students was asked how much time they spent playing video or computer games (in minutes per day). The
sample mean was 123.2 minutes and the sample standard deviation was 117.7 minutes.
USE SALT
(a) Based on the given sample mean and standard deviation, do you think that it is reasonable to think that the distribution of time spent playing video or computer games for the population of male
Canadian high school students is approximately normal? Explain why or why not. (Round your answer to nearest percent.)
If the distribution were approximately normal with the given mean and standard deviation, roughly
X % of the observed times would be negative. Therefore, it is not
reasonable to think the distribution of time spent playing video or computer games for the population of male Canadian high school students is approximately normal.
(b) Suppose you wanted to use the sample data to decide if there is evidence that the average time spent playing video or computer games for male Canadian high school students is greater than 2 hours
(120 minutes). What would you need to know to determine if the one-sample t test is an appropriate method? (Select all that apply.)
☐ We would need to know that the distribution of the population of times is approximately normal or that the sample size is large.
We would need to know that all observations are dependent or all observations are independent.
We would need to know that the sample was randomly selected or is representative of the population of male Canadian high school students.
We would need to know that all male Canadian high school students were surveyed or the sample is representative of the population of male Canadian high school students.
☐ We would need to know that the distribution of the population of times is approximately normal or that the sample size is small.
Transcribed Image Text:In a study of media use, each person in a large representative sample of male Canadian high school students was asked how much time they spent playing video or computer games (in minutes per day). The sample mean was 123.2 minutes and the sample standard deviation was 117.7 minutes. USE SALT (a) Based on the given sample mean and standard deviation, do you think that it is reasonable to think that the distribution of time spent playing video or computer games for the population of male Canadian high school students is approximately normal? Explain why or why not. (Round your answer to nearest percent.) If the distribution were approximately normal with the given mean and standard deviation, roughly X % of the observed times would be negative. Therefore, it is not reasonable to think the distribution of time spent playing video or computer games for the population of male Canadian high school students is approximately normal. (b) Suppose you wanted to use the sample data to decide if there is evidence that the average time spent playing video or computer games for male Canadian high school students is greater than 2 hours (120 minutes). What would you need to know to determine if the one-sample t test is an appropriate method? (Select all that apply.) ☐ We would need to know that the distribution of the population of times is approximately normal or that the sample size is large. We would need to know that all observations are dependent or all observations are independent. We would need to know that the sample was randomly selected or is representative of the population of male Canadian high school students. We would need to know that all male Canadian high school students were surveyed or the sample is representative of the population of male Canadian high school students. ☐ We would need to know that the distribution of the population of times is approximately normal or that the sample size is small.
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