T-test or Z-test? I just need help finding 95% confidence level for the average age of students and 95% confidence level for the students who are males in the sample. Which formulas are the correct ones for these problems. which distribution am i supposed to be using? Sample size is less than 30, but does that mean I use t-distribution?

\fAutoSave . Off Student Answer Sheet Spring 2022(1).xisx > Search (Alt+Q) Lovrich, Stephanie LS X File Home Insert Draw Page Layout Formulas Data Review View Help PDFelement Power Pivot Comments Share G30 X fx B E H N O P Q R S T U V W X Y Z AA Note: The goal of the project is to practice conducting a hypothesis test for a mean and proportion with real data. Do not worry about failed assumptions tests. Use primary methods described in text and used on homework. For the following two hypothesis tests, use alpha = .05 INQUI AWN Points Claim: The average age of online students is 32 years old. Can you prove it is not? Ho: 8 Ha Note: Calculation cells should list the numbers and operations used 10 Sample mean: 27.08 o get your answers. Show all 11 Sample St. Dev: 9.07 calculation steps, and do not 12 simply put the generic formula. 13 2 Distribution: 14 15 Test Statistic: 2 decimals Calculation: 16 ANN p-value: *4 decimals 17 Decision: Fail to Reject Ho 18 Interpretation: 19 2 (context 20 Claim: The proportion of males in online classes is 35%. Can you prove it is not? 23 24 Ho: 25 N Ha: 26 27 Sample Proportion Males 2.08333333 Sample Proportion Females 0.52 28 29 2 Distribution: 30 31 Test Statistic: *2 decimals Calculation: 32 H NW p-value: *4 decimals Decision: 34 Interpretation: 35 (context 36 37 Total Points 38 39 Week 3 | Week 5 Week 6 + Ready + 85%