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 22% of adults have blood type A, 26% of adults have blood type B, 34% of adults have blood type AB, and 18% of adults have blood type O. The tree diagram shows the possible outcomes for Brian and Jennifer along with their associated probabilities. What is the probability that Brian and Jennifer share the same blood type? Give your answer as a decimal, precise to at least two decimal places.

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…

The authors of a paper compared two different methods for measuring body fat percentage. One method uses ultrasound, and the other method uses X-ray technology. Body fat percentages using each of these methods for 16 athletes (a subset of the data given in a graph that appeared in the paper) are given in the accompanying table. You can assume that the 16 athletes who participated in this study are representative of the population of athletes. Athlete X-ray 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 5.00 13.00 9.25 12.00 17.25 29.50 5.50 6.00 8.00 11.50 9.25 11.00 12.00 14.00 17.00 18.00 Ultrasound 4.50 9.75 9.00 11.75 17.00 27.50 6.50 6.75 8.75 12.50 9.50 12.00 12.25 15.50 18.00 18.25 Use these data to estimate the difference in mean body fat percentage measurement for the two methods. Use a confidence level of 95%. (Use μ = x-ray ultrasound. Round your answers to three decimal places.) 1% - Interpret the interval in context. O We are 95% confident that the true mean body fat percentage…

Brookdale College is conducting a study to determine the patterns in the number of degrees it has been awarding to students in different majors over the past 11 years. The data for some of these majors are shown in the table. Horticulture Auto Engineer Technology Business Administration Dental Hygiene Nursing ✔ Auto Engineer Technology ✔Business Administration Dental Hygiene Nursing 1999 2000 16 Auto Engineer Technology prediction Business Administration prediction Dental Hygiene prediction Nursing prediction 10 161 60 70 25 12 149 49 74 2001 2002 2003 21 16 136 46 63 15 12 93 46 62 20 10 106 34 55 2004 2005 20 9 89 44 64 14 13 81 39 64 2006 520 16 14 63 48 104 2007 2008 2009 12 12 50 46 147 12 20 59 44 155 6 27 50 41 (a) Decide for which of these majors there is a significant level of correlation and for which there is little or no correlation. (Select all the majors with a significant level of correlation.) Horticulture 146 (b) For those majors for which there is a significant level…