1) 2) 3) 4} 5) Using a test of spatial perception, a psychologist tests for a difference between the mean score for men and the mean score for women. A P-value of 0.48 is obtained. What do you conclude? A test of short-term memory is given to a randomly selected sample of subjects before and after they completed a formal memory training course. The results are given below. At the 0.05 signicance level. test the claim that the course has no effect on the test scores. Use the matched pair test. State the null and alternative hypothesis. the critical value. and your conclusion. Before 35 41 37 44 42 33 46 48 37 30 After 36 43 37 40 45 36 47 50 41 31 An antibacterial soap is used in an experiment designed to test the differences in preventing colds. In a treatment of a group of 80 people who used the soap, 24 developed colds. In a control group of 120 people who didn't use the antibacterial soap, 40 developed colds. Use a 0.05 level of significance to test the claim that the soap is effective in producing a lower cold rate. State the null and alternative hypothesis, the critical value. and your conclusion. Use the same sample data given in problem 3 and construct a 95% condence interval for the difference between the two population proportions. The amounts of sugar in 7 oz. boxes of cereal are measured and the sample results are summarized here for two competing brands. Use a 0.05 level of signicance to test the claim that boxes of Toasted Oats have a mean that is lower than the mean for Kansas Oats. State the null and alternative hypothesis. the critical value, and your conclusion. Toasted Oats Kansas Oats n = 50 n = 80 i = 30.2 a? = 42.7 s=3.3 s=5.7