According to a recent study, the mean number of hours college students spent playing video games per month was 20 hours with a population standard deviation of 1.5 hours. Two weeks before final exams were scheduled to begin, 100 college students were randomly selected. What is the probability that the mean number of hours spent playing video games is less than 19.8 hours? Use the z-table below. Round your answer to three decimal places if necessary. z 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 -1.3 0.097 0.095 0.093 0.092 0.090 0.089 0.087 0.085 0.084 0.082 -1.2 0.115 0.113 0.111 0.109 0.107 0.106 0.104 0.102 0.100 0.099 -1.1 0.136 0.133 0.131 0.129 0.127 0.125 0.123 0.121 0.119 0.117 -1.0 0.159 0.156 0.154 0.152 0.149 0.147 0.145 0.142 0.140 0.138 -0.9 0.184 0.181 0.179 0.176 0.174 0.171 0.169 0.166 0.164 0.161 -0.8 0.212 0.209 0.206 0.203 0.201 0.198 0.195 0.192 0.189 0.187 Provide your answer below:

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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According to a recent study, the mean number of hours college students spent playing video games per month was 20 hours with a population standard deviation of 1.5 hours. Two weeks before final exams were scheduled to begin, 100 college students were randomly selected.

What is the probability that the mean number of hours spent playing video games is less than 19.8 hours?

Use the z-table below. Round your answer to three decimal places if necessary.

z 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09
-1.3 0.097 0.095 0.093 0.092 0.090 0.089 0.087 0.085 0.084 0.082
-1.2 0.115 0.113 0.111 0.109 0.107 0.106 0.104 0.102 0.100 0.099
-1.1 0.136 0.133 0.131 0.129 0.127 0.125 0.123 0.121 0.119 0.117
-1.0 0.159 0.156 0.154 0.152 0.149 0.147 0.145 0.142 0.140 0.138
-0.9 0.184 0.181 0.179 0.176 0.174 0.171 0.169 0.166 0.164 0.161
-0.8 0.212 0.209 0.206 0.203 0.201 0.198 0.195 0.192 0.189 0.187

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