Question

3. Two 95% confidence intervals for the means of both of your groups. Show the formulas that you used to calculate your confidence intervals. Compare the 2 confidence intervals and interpret the results of the 2 confidence intervals. Do the confidence intervals overlap? You will have a confidence interval for each of your 2 groups. Since you do not know the population standard deviation, this will be a T Distribution. You can look at your notes in Section 8:1 for how to construct and interpret your confidence interval.

4. A 95% confidence interval for the difference between the means of your 2 groups. Based on your confidence interval, does there appear to be a difference between your 2 groups? Since you are constructing a confidence interval for the difference between the means of your 2 groups, you can use your calculator. On your calculator, you should use Stat Test #0. You can look at your notes in Section 10:1 for how to construct and interpret your confidence interval.

5. A hypothesis test for the difference between the means of your 2 groups. State the hypotheses, calculate the test statistic, compute the p-value, and make a decision. Since you are performing a hypothesis test for the difference between the means, you can use your calculator. On your calculator, you should use Stat Test #4. You can look at your notes in Section 10:2 for how to perform the hypothesis test.

6. A conclusion. Based on your hypothesis test, can you conclude that there is a difference between your 2 groups? This should be your last step for the hypothesis test (that you performed in step #5).

1. Male) Mean: 7.967 Median: 7 Mode: 6, 7 Range: 7 Standard Deviation: 1.9911

2. Female) Mean: 7.567 Median: 7 Mode: 7 Range: 7 Standard Deviation: 1.8696

3. Males	Females
   Age they started a sport
   6	7
   11	8
   10	7
   6	10
   6	8
   7	5
   7	6
   9	8
   12	11
   6	8
   5	7
   6	7
   7	9
   10	7
   10	6
   11	12
   10	5
   7	7
   7	7
   8	11
   7	6
   9	7
   6	5
   6	9
   7	8
   10	5
   9	5
   9	9
   10	8
   5	9

Answer 1