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The average number of Facebook postings per person in a single day is 16. Assume the...

  1. The average number of Facebook postings per person in a single day is 16. Assume the standard deviation is 8.2 . A random sample of 150 people is taken. Find the probability that the mean number of photos taken by people in this sample is between 15 and 17 .
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Answer #1

Let , n =150

Now , the smapling distribution of the sample mean is approximately normaly distributed with sample mean and the sample standard deviation

Where ,

Now ,

; from standard normal distribution table

Therefore , the probability that the mean number of photos taken by people in this sample is between 15 and 17 is 0.8638

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