In: Statistics and Probability
Can you please answer the questions as well as checking my previous answers to see if ti correct
You love the new elliptical machines your gym added several months ago, but because they are so popular with other members too, you usually have to wait for a machine to become available. Out of curiosity, each day you write down how many minutes you have to wait for an elliptical machine. Using a confidence level of 80%, is the average wait time for an elliptical machine less than 5 minutes?
2 |
0 |
5 |
7 |
5 |
8 |
5 |
5 |
10 |
5 |
2 |
0 |
2 |
4 |
0 |
4 |
0 |
7 |
3 |
5 |
8 |
2 |
5 |
10 |
7 |
0 |
6 |
4 |
4 |
4 |
8 |
3 |
Step 1) What type of hypothesis test is required here?
How would you run this test in MINITAB (Menus, Functions used)? Stat>BASIC STAT>1-Sample t
Is this a left-tailed, right-tailed, or two-tailed test? Two Tailed
Step 2) Verify all assumptions required for this test:
Step 3) State the null and alternate hypotheses for this test: (use correct symbols and format!)
Null hypothesis u = 5
Alternate hypothesis u < 5
Step 4) Run the correct test in MINITAB and provide the information below. Use correct symbols and round answers to 3 decimal places.
Test Statistic = 1.24 Degrees of freedom = 31
Critical Value = 0.8533 p-value = 0.111
Step 5) State your statistical decision (and justify it!) I would have to say that T value is greater Critical Value and it is Rejected to the null hypothesis accept alternate.
Step 6) Interpret your decision within the context of the problem: what is your conclusion?
I would have to say that the population mean of the wait time < 5 minutes is 80 percent Con.