A random sample of eight pairs of twins was randomly assigned to treatment A or treatment B. The data are given in the following table. Twins :            1      2      3      4      5      6    7      8 Treatment A: 48.3 44.6 49.7 40.5 54.3 55.6 45.8 35.4 Treatment B: 43.5 43.8 53.7 43.9 54.4 54.7 45.2 34.4 a. Is there significant evidence that the two treatments differ using an α = 0.05 paired t test. b. Place a 95% confidence interval on the mean difference between the responses from the two treatments.

Julius has conducted a very small study of the amount of sleep his dorm mates get each night. He believes that those who are on one of the school’s sports teams will get more sleep (measured in hours per night) than those who are not. Julius surveyed 12 people. Of these, 6 played on a sports team and 6 did not. The descriptive statistics from his survey are given below. PLAYS SPORTS (Sample 1) DOES NOT PLAY SPORTS (Sample 2) 8 6 9 6 8 5 7 7 8 7 7 6 What is the critical value for this test? what is the t-obtain value for this t-test? Based on your t-obtained value, what should you conclude about the null hypothesis for this test?

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Here is a set of sample data 4 10 27 34 7 22 25 38 39 42 47 53 54 55 59 77 85 86 94 Identify the 5 number summary (min, Q1, median, Q3, max) 255 N3l5lco

What percentage of hospitals provide at least some charity care? Based on a random sample of hospital reports from eastern states, the following information is obtained (units in percentage of hospitals providing at least some charity care):

A research group is conducting an experiment to study the relationship between fitness levels and the number of hours spent exercising each week. Subjects are randomly selected and, after several fitness tests, are assigned a fitness score. The number of hours spent exercising per week is also recorded. Data for 15 subjects are given below. Subject Hours of Exercise per Week Fitness Score 1 1 3 2 1.5 4.7 3 1.75 6 4 2 5 5 2 6.5 6 4.5 14.2 7 2.5 13.5 8 3.25 15 9 3 13.4 10 3.75 14 11 3.5 10 12 4 10 13 2.5 12 14 5.25 14.5 15 5 15 Create a bar graph in Microsoft® Excel® using the data. Label the graph and include the source of the data. Construct an equation in two variables that models this relationship. This equation may be linear, polynomial, rational, square root, or variation? Is the equation an exact model or an approximate model of the relationship between the variables? Explain your reasoning. Use the equation to make a prediction of the likely value of the…

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...The data represents the amount of money students. This is a random (Rands, R) spent on extra-curricular activities for University sample for the 8th week of first trimester. 12,87 17,5 6,29 14,59 10,05 19,25 6,74 11,38 13,45 18,75 8,1 3,25 9 9,9 16,01 8,31 6,5 13,8 9,87 4,95 9,5 7,14 10,41 12,8 32,09 7,25 4,32 14,73 8,59 20,35 13,57 9,18 8,84 18,24 11,79 16,91 6,48 12,93 7,25 13,02 6,5 9,65 22,68 12,45 Note 1: As a researcher, and for a better statistical measurement in reflection of the conventional steps to determining the frequency distribution table, you decide to reduce the lowest data observation by 1.25 and increases the highest by 1,91. This to observe a comprehensible data Range. 27,43 5,74 17,95 24,1 Draw accumulative frequency and histogram for this data with 7 class/ intervals 6,63 15,9

12. The age of random sample of 40 people who attended a show at the fox. Theater are given below. Find the first, second, and third Quartile 20 26 31 34 39 45 50 62 20 29 31 35 40 47 51 63 23 30 32 35 40 49 51 66 23 30 33 37 40 49 54 69 26 30 34 38 42 49 57 72

How many hours per week do gamers play video games? A simple random sample of 44 U.S. gamers age 13 or older are given below. 8.7 6.3 8.5 6.6 6.8 7.1 8.9 12.7 7 5.8 8 10.3 8.4 11.2 7.9 10.7 10.2 7.2 6.6 6.3 7.1 8.3 9.4 8.5 10.2 10.5 5.3 9.8 9.4 10.2 10.8 9.4 7.8 10.8 8.9 8.2 7.4 6.7 8.4 9.7 6.6 8.3 10.1 7.8 a.) Find a 92% confidence level for the population average time per week a gamer 13 or older plays video games. (Round answers to two decimal place.) margin of error:  ?  hr/wklower limit:  ?  hr/wkupper limit:  ?  hr/wk Interpret: We are (?)% confident that the population mean time per week a gamer 13 or older plays video games is between(?)  hours and (?) hour .