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Solve for 1 and 2: 1) In the U.S., it has been claimed that adults between...

Solve for 1 and 2:

1) In the U.S., it has been claimed that adults between the ages of 18 and 30 send an average of 54 text messages per day, with a standard deviation of 25.1. If a random sample of 113 adults in this age group were collected, what would be the standard deviation of the sampling distribution of the sample mean, to one decimal place?

2) In the U.S., it has been claimed that adults between the ages of 18 and 30 send an average of 46.6 text messages per day, with a standard deviation of 27.4. If a random sample of 84 adults in this age group were collected, what would be the mean of the sampling distribution of the sample mean, to one decimal place?

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Answer #1

If , then

Where , and

1) Given :

Since , n=113

Therefore , the standard deviation of the sampling distribution of the sample mean is ,

2 ) Given :

Since , n=84

Therefore , the mean of the sampling distribution of the sample mean is ,

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