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The Pew Internet and American Life Project reports that young people ages 12-17 send a mean...

The Pew Internet and American Life Project reports that young people ages 12-17 send a mean of 60 text messages per day. A random sample of 25 young people showed a sample mean of 69 texts per day with a sample standard deviation of 18 messages.

(a) Using a significance level of α = 0.01, test whether the population mean number of text messages per day differs from 60. Make sure you state your hypotheses and your critical region.

(b) Using a significance level of α = 0.01, test whether the population mean number of text messages per day is greater than 60. Make sure you state your hypotheses and your critical region.

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