In this homework, whenever you are asked to assess the evidence against a claim, you must:

• write the p-value in terms of a definite integral
• evaluate the p-value using software (such as Wolfram Alpha)
• state whether or not you reject the claim

Problems

1. (5 points) Textbook problem 7.1
2. (10 points) Textbook problem 7.4
3. (10 points) Textbook problem 7.6
4. (15 points) Textbook problem 7.7. In parts (a) and (b), express your answers in terms of \( \text{popmean}(\{L\}) \), \( \text{popmean}(\{F\}) \), \( \text{popsd}(\{L\}) \) or \( \text{popsd}(\{F\}) \), where \(\{L\}\) and \(\{F\}\) are the weights of the entire populations of lean and fatty Zucker rats, respectively. In part (c), provide numerical answers (two of which will be the same.)
5. (10 points) Textbook problem 7.8