In 2011, the number of text messages sent and received by teenage girls (ages 12–18) was strongly right skewed.  The mean number of messages sent and received each day was 165 with a standard deviation of 45 messages.  Suppose we assume teenage boys (ages 12 – 18) send and receive the same number of messages daily.  Completely describe the sampling distribution of the sample mean number of text messages sent and received when samples of 293 teenage boys are selected. mean:  μ y-bar =  standard deviation: σ y-bar =   (round your answer to 4 decimal places) shape: the distribution of y-bar is __________ (not normally distributed/normally distributed) because ______________ (the sample size is large/the sample size is not large/the population of the # of text messages sent is normally distributed/the population of the # of text messages sent is not normally distributed)

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In 2011, the number of text messages sent and received by teenage girls (ages 12–18) was strongly right skewed.  The mean number of messages sent and received each day was 165 with a standard deviation of 45 messages.  Suppose we assume teenage boys (ages 12 – 18) send and receive the same number of messages daily. 

  1. Completely describe the sampling distribution of the sample mean number of text messages sent and received when samples of 293 teenage boys are selected.
    • mean:  μ y-bar = 
    • standard deviation: σ y-bar =   (round your answer to 4 decimal places)
    • shape: the distribution of y-bar is __________ (not normally distributed/normally distributed) because ______________ (the sample size is large/the sample size is not large/the population of the # of text messages sent is normally distributed/the population of the # of text messages sent is not normally distributed)
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