Question 3 A psychological test has scores that range from 0 to 10 (whole numbers only). The stable range is given by scores ranging from 3-8 (inclusive); the group scoring less than 3 are labeled as Low Risk, while those with a score greater than 8 are labeled as High Risk. In a certain population of interest the probabilty that a person is pschologically stable is 86 % , and the probability that a person is from the High Risk group is 4%. A random sample of 10 people is taken from this population What is the probability that at least 2 people are NOT from the High Risk group? a) b) What is the probability that fewer than 3 people are from the Low Risk group?

A popular, nationwide standardized test taken by high-school juniors and Españ seniors may or may not measure academic potential, but we can nonetheless attempt to predict performance in college from performance on this test. We have chosen a random sample of students just finishing their first year of college, and for each student we've recorded her score on this standardized test (from 400 to 1600) and her grade point average (from o to 4) for her first year in college. The data are shown below, with x denoting the score on the standardized test andy denoting the first-year college grade point average. The least-squares regression line for these data is 1.1239+0.0015x. This line is shown in the scatter plot below. Standardized test score, .x 1360 1100 790 1280 890 Grade point average, y 3.77 2.28 2.35 2.91 2.64 2.22 3.18 3.34 2.36 3.30 3.02 2.88 860 1400 1510 1000 1250 1060 1210 1020 940 1510 Send data to calculator ✓ Send data to Excel 3.07 2.29 3.01 Grade point average, 34- 324 900…

You conducted a study to assess the effect of smoking on systolic blood pressure. The results showed that there was a significant association between the two variables, with an odds ratio of 1.5. Explain this finding to someone who has no background in epidemiologic research.

One personality test available on the World Wide Web has a subsection designed to assess the "honesty" of the test-taker. After taking the test and seeing your score for this subsection, you're interested in the mean score,  μ , among the general population on this subsection. The website reports that  μ  is  148 , but you believe that  μ  is greater than  148 . You decide to do a statistical test. You choose a random sample of people and have them take the personality test. You find that their mean score on the subsection is  152  and that the standard deviation of their scores is  28 . Based on this information, answer the questions below. What are the null hypothesis ( H0 ) and the alternative hypothesis ( H1 ) that should be used for the test? H0 :  μ  is   H1 :  μ  is  In the context of this test, what is a Type I error?A Type I error is  the hypothesis that  μ  is   when, in fact,  μ  is  .Suppose that you decide not to…