True or False  1. Keeping other factors constant, the 99% CI has a broader range than the 95% CI. 2. The null hypothesis is the opposite of the alternative hypothesis 3. The alternative hypothesis is the same as the researcher's research hypothesis. 4. If researchers reject a hypothesis test at 0.01 level, they will also reject the hypothesis at 0.05 level.

Ch 9, #10 (pg. 264) Stats Question: A random sample of n=4 individuals is selected from a population with mu = 35, and a treatment is administred to each individual in the sample. After treatment, the sample mean is found to be M = 40.1 with SS = 48. Based on the sample data, does the treatment have a significant effect? Use a two-tailed test with alpha = .05.  I understand how to determine that t = 2.55. What I don't understand is how the critical value of 3.182 was determined in the explanation posted on this site.

What is the test statistic?(round to two decimal places) What is the pvalue?(round to three decimal places) Reject or don’t reject null hypothesis?

please help solve below questions pertaining to attached image find the test statisitic find the p value State the conclusion for the test.   A. Reject the null hypothesis. There is sufficient evidence to support the claim that archbishops have lower mean longevity than monarchs.   B. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that archbishops have lower mean longevity than monarchs.   C. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that archbishops have lower mean longevity than monarchs. D. Reject the null hypothesis. There is not sufficient evidence to support the claim that archbishops have lower mean longevity than monarchs.