null hypothesis

1. These three assumptions are required to justify using Randomized Block Design ANOVA.  (enter T for true or F for false) a. the sample value in each cell is selected from a normal population _____ b. the variances of these normal populations are equal _____ c. there is no interaction between blocks and treatments _____ For each combination of blocking level and treatment level in the Randomized Block Design, the number of replications is restricted to ____. (enter a whole number)

The Personnel Manager of a large corporation believes that regular physical exercise leads to a lower resting pulse rate (and so healthier staff). Data was collected on resting pulse rate and whether or not people exercised regularly for a random sample of 22 employees of the corporation. The results are given below. Exercise regularly Do not exercise regularly 72 62 72 60 63 75 64 60 52 64 80 68 64 84 66 72 62 84 76 60 78 84 (a) Formulate appropriate hypotheses to test if the average resting pulse rate is lower in employees who regularly exercise compared with those who do not. (b) Perform a parametric test of the above hypotheses and draw conclusions based on the P-value of the test. (c) Perform a non-parametric test to analyze the same data. (d) State all underlying assumptions for the tests in parts (b) and (e) and comment on the similarities/differences in the outcomes of the tests.

Suppose that in a random selection of 100 colored​ candies, 27​% of them are blue. The candy company claims that the percentage of blue candies is equal to 24​%. Use a 0.01 significance level to test that claim. a. Identify the null and alternative hypotheses for this test. b. The test statistic for this hypothesis test is. ​(Round to two decimal places as​ needed.) c. The​ P-value for this hypothesis test is ​(Round to three decimal places as​ needed.)