The number of commercials (X) shown during a single hour of children’s television programming is approximated by the following probability distribution.   x px 13       10.4% 14       19.7% 15       31.5% 16       25.3% 17 13.1% For a random sample of 24 one hour blocks of children’s television programming, find the narrowest interval that would accurately predict the mean number of commercials shown during a single hour of children’s television programming 90% of the time.

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The number of commercials (X) shown during a single hour of children’s television programming is approximated by the following probability distribution.

 

x px
13       10.4%
14       19.7%
15       31.5%
16       25.3%
17 13.1%
For a random sample of 24 one hour blocks of children’s television programming, find the narrowest interval that would accurately predict the mean number of commercials shown during a single hour of children’s television programming 90% of the time.
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