(1) In this part of the lab, you'll compare the mean age of students this year (Spring 2021) to the mean age in 2017. According to RCCC's website, the average age of RCCC curriculum students in 2017 was 24.2 years.

2021 RCCC Students

Sample Size | 97

Mean | 20.35

Std. Deviation | 6.25

(2) a. Using the results from the information above, construct a 95% confidence interval for the mean age of RCCC students in Spring 2021. (Refer back to section 8.2 in your textbook if needed.) Either show your work or write down the TEST used on the calculator. In either case, give your answer rounded to tenths in sentence form with the proper interpretation (in context).

b. Based on your confidence interval, do you expect that the mean age of RCCC students is still 24.2 years old? Explain. (Fill in the blanks.)

________ (yes or no), I __________ (do or do not) expect the mean age of RCCC students is still 24.2 years old because ___________________________________________________________________________________

__________________________________________________________________________________________

(3) Again, using the results from (1) above, do the data indicate that the mean age of RCCC students in Spring 2021 is now different than 24.2? Let a = 0.05 Use your calculator and run the test using P-value approach.Show all steps.

Hypotheses:

TEST used on calculator: ____________________

Standardized Test Statistic: _________________

P-Value: ____________________

Conclusion: ____________________________

Interpretation (in context):

(4) Did the confidence interval in (2) and the hypothesis test in (3) yield the same conclusion?Explain.