MS 150 quiz ten 11.1 • Name:

26 November 2010

Each term in physical science I survey the students to determine their favorite laboratories for the term. The above data is from fall 2009 and fall 2010 terms.

If the data is pairwise identical, then there is no statistical difference between the students choices in fall 2009 and fall 2010. In this case we would fail to reject the null hypothesis. If the data was pairwise identical, then the p-value would be 1.00. There would be 0% confidence of any difference. This would mean that the students favorite labs fall 2009 are the same as the favorite labs fall 2010.

If the data is not pairwise identical, then there is a difference in the students choices. The p-value will be less than one.
If the p-value is less than 0.10, then we could consider the students choices to be significantly different.
If the p-value is more than 0.10, then the students favorite choices are statistically the same.

Thus the implicit question is whether students choices of favorite laboratory has changed year-on-year.

1. __________________ What is the p-value? Use the paired TTEST function with two tails to determine the p-value for this two sample data.
2. __________________ Is the pairwise difference statistically significant at a risk of a type I error alpha α = 0.10?
3. __________________ Would we fail to reject | or | reject a null hypothesis of no pairwise difference in the samples at a risk of a type I error alpha α = 0.10?
4. __________________ What is the maximum level of confidence we can have that the difference is statistically significant?
5. __________________ Toughie: Are the favorite labs for the students fall 2010 statistically the same as the favorite labs of fall 2009?