Brian and Jennifer are planning to get married at the end of the year. They read that certain diets are healthier for specific blood types and hope that they both have the same blood type. Unfortunately, neither Brian nor Jennifer can remember their blood type. Suppose a recent study shows that 29% of adults have blood type A, 35% of adults have blood type B, 24% of adults have blood type AB, and 12% of adults have blood type O. The tree diagram shows the possible outcomes for Brian and Jennifer along with their associated probabilities

Imagine that you were hired as a consultant by a local business owner tohelp her determine how many paid days off she should provide to her employees. In general, she wants to establish some sort of standard for her employees and for herself. Based on data provided by the government, you conclude that on average, workers in the United States take 14 paid days off per year. The data for the eight employees who work at the company you are consulting for are: 12, 9, 7, 12, 13, 14, 14, and 12 days. Thequestion you are trying to answer is, are the number of days off taken by the eight employees statistically different from the data provided by the US government? (I have stated the null and alternative hypotheses, and found that this is a two-tailed test. With alpha=0.05, I have found the t-critical value to be +/- 2.365, with DF=7)I need help with:  A. Compute the appropriate test statistic. Use the computational formula tocompute the sample standard deviation. Show all formulas that you…

Calie has just been named the director of alumni relationships at a local university. Alumni donations are an important source of revenue for colleges and universities. If administrators could determine the factors that could lead to increases in the percentage of alumni who make a donation, they might be able to implement policies that could lead to increased revenues. Research shows that students who are more satisfied with their contact with teachers are more likely to graduate. As a result, one might suspect that smaller class sizes and lower student/faculty ration might lead to a higher percentage of satisfied graduates, which in turn might lead to increases in percentage of alumni who make a donation.    Calie is feeling an extra pressure to increase total giving to the university because of recent budget cuts. Calie is also feeling pressured to increase the percentage of alumni to give. Calie found this new metric called average alumni giving rate U.S. News & World Report.…

A student claims that he can correctly identify whether a person is a business major or an agriculture major by the way the person dresses. Suppose in actuality that if someone is a business major, he can correctly identify that person as a business major 87% of the time. When a person is an agriculture major, the student will incorrectly identify that person as a business major 16% of the time. Presented with one person and asked to identify the major of this person (who is either a business or an agriculture major), he considers this to be a hypothesis test with the null hypothesis being that the person is a business major and the alternative that the person is an agriculture major. What would be a Type I error?       Saying that the person is a business major when in fact the person is an agriculture major.     Saying that the person is an agriculture major when in fact the person is an agriculture major.     Saying that the person is an agriculture major when in…