f06mid2soln

We fail to reject h there is no evidence against the

This preview shows page 1. Sign up to view the full content.

We fail to reject H 0 . There is no evidence against the hypothesis that the two varieties have the same mean yield. 3.(a) These are paired samples. The 90% confidence inter- val is 7 . 875 ± 1 . 753 * 14 . 96 16 , i.e. (1.314, 14.431). The t mutliplier 1.753 was obtained from the t distribution with df=15, since there were 16 pairs of data. (b) We are 90% confidence that the true increase in mean tissue sulfur lies between 1.314 and 14.431 ppm dry weight. The 90% confidence refers to the fact that if we conduct many experiments (such as this one) and use the method we have used to get a confidence interval from each of these experiments, then 90% of these confidence intervals would contain the true value. (c) The confidence interval does not contain 0, so we can reject the null hypothesis of no decrease in mean tissu sulfur at the α = 0 . 10 level. (d) We assumed sites were sampled at random. We don’t know much about that from the text. We would like to make sure that all plots were at about the same distance from the power plant, etc. We also made the assumption that the differences were normally distributed. We can assess this assumption with the normal scores plot on the right. It seems straight enough. 4. Levene transformed data: 2, 1, 3, 4 for the low-light group (mean 2.5, var 1.666) and 5, 2, 1, 0, 0, 2, 3, 5 for the high-light group (mean 2.25 and var 3.93). Pooled sd is 1.803. A t-test on these transformed data gives t = 2 . 5 - 2 . 25 1 . 803 1 / 4 + 1 / 8 = 0 . 226. Against the t distribution with df=10, we get a p-value > . 20. We
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern