The mean age of random university, College students in a previous term was 26.6 years old....

The mean age of random university, College students in a previous term was 26.6 years old. An instructor thinks the mean age for online students is older than 26.6. She randomly surveys 60 online students and finds that the sample mean is 29.6 with a standard deviation of 2.1. Conduct a hypothesis test at the 5% level. Note: If you are using a Student's t-distribution for the problem, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.)

-state the null hypothesis

-state the alternative hypothesis

- In words state what random variable P' represents

- State the distribution for the test: P'~

-what is the test statistics? z or t distribution

-What is the P value

- Explain what the P value means

- Sketch picture of the situation

- construct 95% construction interval for the true proportion

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