Question

Names of Volunteers	Score on Federation of Planets’ Qualifying Scores
Joe	218
Carleton	224
Spence	208
Phil	222
Ryan	200
LaNae	219
Aaron	198
Tyler	204
Carter	210
Grey	189
Glen	201
Shane	184

The mean qualifying scores for all members of the Federation, who are qualified as crew members, is 209 with a standard deviation of 12.2. Is there reason to suspect that the scores of the sample of volunteers above is less than the mean score of all Federation members at the .05 level of significance? Use the p-value approach and the Classical approach. Use calculator, excel, or textbook tables as needed.

1. Set up the null and alternative hypothesis statements:

2. Find the t-score

3. Show all steps, (whether from Excel, StatCrunch, or TI-84 +) used.

4. Write out your conclusion of the test. Is there sufficient statistical evidence to suspect that the scores of the sample of volunteers is less than the scores of the Federation pool of crew members? Explain by discussing the Type I Error and what this means in terms of the hypothesis test.

Answer 1

The t score is calculated using the formula mentioned. The p value and the critical value are obtained using STATKEY (image attached for reference). We use both the p value approach and the critical value approach and based on that we make the required conclusion.