Please help me only if you really know how to solve it as I am stuck and I cannot solve these questions. Dont give me random answers please. You can use any software to solve it if it's easier ( we use R). If I am satisfied, i will also make sure you are satisfied too.

Link to textbook if needed with the content: https://drive.google.com/file/d/1ptM7Pzw8e364cZpwdQXU30GVhrQc1AZ7/view?usp=sharing

Questions:

Question Which of the following statements about two-sample inference procedures are true? There may be more than one correct statement; check all that are true. C] a] The Welch procedure assumes we are sampling from a normally distributed population. but the pooled-variance t procedure does not. l:l b) Both the Welch and pooled-variance t procedures require sample sizes of at least 30. l_l c) For both procedures, the most common test is that of the null hypothesis H0 2 #11 2 p2. l_l cl) The degrees of freedom for the Welch and pooled-variance t procedures are equaL Question Researchers wish to carry out a test of the null hypothesis that the mean of a certain population is 70 against a two-sided alternative hypothesis. In their situation, they (somehow) happen to know the population standard deviation. They feel comfortable assuming normality for this population, and carry out a 2 test. They draw a sample of 36 individuals from this population, and find a 2 test statistic of 0.35. What is the p-value of the test? (Give your numeric response to at least 3 decimal places. Give only your numeric response, and not any extra characters or symbols.) Your Answer: a . Your