Answered: ow many hours per week do gamers play…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

ow many hours per week do gamers play video games? A simple random sample of 60 U.S. gamers age 13 or older are given below.

a.) Find a 97% confidence interval for the population average time per week a gamer 13 or older plays video games. (Round answers to two decimal place.)

margin of error:  hr/wk
lower limit:  hr/wk
upper limit:  hr/wk

Hours per week 8.7 ,8.5, 8.2, 7.6, 6.2, 5.5, 7.6, 4.3, 8.5, 6.9, 5.8, 6.1, 8.2, 5.6, 10.1, 7, 8.3, 9.4, 7.1, 7.7, 7.3, 8.7, 5.1, 7, 8.1, 6.4, 8.7, 6.2, 8.4, 4.6, 5.8, 7.4, 8, 8.3, 9.6, 5.4, 9, 6.8, 7.1, 5.2, 5.6, 7.4, 5.1, 5.4, 8.3, 7.5, 10, 6.1, 8.8, 6.2, 7.6, 7.9, 8.3, 5.3, 8.5, 4.7, 6.7, 8.7, 7.5, 3.9

b.) What conditions were met so the results are valid? (Select all that apply.)

large enough sample size n
simple random sample
time per week a gamer 13 or older plays video games needs to be uniformly distributed
σσ is known
σσ is unknown
time per week a gamer 13 or older plays video games needs to be normally distributed
systematic sampling

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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