A die is a cube with six sides on which each side contains one to six dots. Suppose a blue die and a gray die are rolled together, and the numbers of dots that occur face up on each are recorded. The possible outcomes of the sample space S are listed as follows, where in each case the die on the left is blue and the one on the right is gray. S = {11, 12, 13, 14, 15, 16, 21, 22, 23, 24, 25, 26, 31, 32, 33, 34, 35, 36, 41, 42, 43, 44, 45, 46, 51, 52, 53, 54, 55, 56, 61, 62, 63, 64, 65, 66} Let E be the event that the sum of the numbers showing face up is 8. Write E as a set. (Enter your answer in set-roster notation. Enter EMPTY or ø for the empty set.) E = {36,45,46,54,55,56,63,64,65,66) What is the probability of E? 5/18

A manufacturing company that produces laminate for countertops is interested in studying the relationship between the number of hours of training that an employee receives and the number of defects per countertop produced. Ten employees are randomly selected. The number of hours of training each employee has received is recorded and the number of defects on the most recent countertop produced is determined. The results are as follows.  Hours of Training Defects per Countertop 1 5 4 1 7 0 3 3 2 5 2 4 5 1 5 2 1 8 6 2 Copy Data The estimated regression line and the standard error are given.  Defects per Countertop=6.717822−1.004950(Hours of Training)se=1.229787se=1.229787  Suppose a new employee has had 5 hours of training. What would be the 90% prediction interval for the number of defects per countertop? Round your answer to two decimal places.

Hypnosis. A sample of 100 people was separated into children and adults. The members of each group were randomly assigned to two different hypnosis exercises. The responses of each person were recorded at the completion of the experiment

Assume that the box contains 5 balls: 2 yellow, 1 white, and 2 green. Balls are drawn in succession without replacement, and their colors are noted until both a yellow and a white ball have been drawn. 1. Which of the following is not a valid outcome for this experiment? A. WGY B. GGWY C. YGYW D. YWG 2. How many outcomes are there in the sample space?

A group of 11 students was selected at random and asked for their high school GPA and their freshmen GPA in college the subsequent year. The results were: Student High School GPA Freshmen GPA 1 2.0 1.6 2 2.2 2.0 3 2.6 1.8 4 2.7 2.8 5 2.8 2.1 6 3.1 2.0 7 2.9 2.6 8 3.2 2.2 9 3.3 2.6 10 3.6 3.0 We would like to know whether there is a linear relationship between the high school GPA and the college freshmen GPA, and we would like to be able to predict the freshmen GPA, if we know that the high school GPA of another student is, say, 3.4.  Provide the two requested scatter plots for this data (put college freshman GPA on the Y (vertical) axis!).  a) What would be your approximate 95% prediction interval for question (g)? b) Show your scatterplot with the predicted trend line below

Using the same question from #3 A survey is done to find out the favorite movies of 500 children.  The children are categorized into male and female, and a sample of 50 children is chosen. Answer the following question: If the number of female children is 300, what is the sample size of each stratum?   a male sample: 40 and female sample: 10  b male sample; 25 and female sample: 25 c male sample: 30 and female sample: 20 d male sample: 20 and female sample: 30

Given a population of N=93​, starting in row 29 of the table of random​ numbers, and reading across the​ row, select a sample of n=15   a. without replacement. b. with replacement.   Column   Row 00000 00001 11111 11112 22222 22223 33333 33334 12345 67890 12345 67890 12345 67890 12345 67890 28 06873 21440 75593 41373 49502 17972 82578 16364 29 12478 37622 99659 31065 83613 69889 58869 29571 30 57175 55564 65411 42547 70457 03426 72937 83792 31 91616 11075 80103 07831 59309 13276 26710 73000 32 78025 73539 14621 39044 47450 03197 12787 47709 Choose the correct answer below.     A. 12, 47, 83, 76, 22, 99, 65, 93, 10, 65, 83, 61, 36, 98, 89   B. 12, 47, 83, 76, 22, 65, 93, 10, 61, 36, 89, 58, 86, 92, 71   C. 47, 83, 76, 22, 99, 65, 93, 10, 65, 83, 61, 36, 98, 89, 58   D. 83, 76, 22, 99, 65, 93, 10, 65,…

Superpowers A total of 415 children from the United Kingdom and the United States who completed a survey in a recent year were randomly selected. Each student's country of origin was recorded along with which superpower they would most like to have: the ability to fly, ability to freeze time, invisibility, superstrength, or telepathy (ability to read minds). The data are summarized in the following table. Country U.K. U.S. Fly 54 45 Freeze time 52 44 Invisibility 30 37 Superpower 20 23 Superstrength Telepathy 44 66 a. What proportion of students in the sample are from the United States? b. Find the distribution of superpower preference for the students in the sample using relative frequencies. c. What percent of students in the sample are from the United Kingdom and prefer telepathy as their superpower preference?

Below are the numbers of patients classified as underweight, normal weight, overweight and obese according to their diabetes status.  If a patient is selected at random:   What proportion of normal weight patients are not diabetic? What proportion of patients are normal weight or underweight?     Underweight Normal Weight Overweight Obese Row Totals   Diabetic 8 34 65 43 150   Not Diabetic 12 85 93 40 230   Column Totals 20 119 158 83 380

Refer to the following scenario. A government official is in charge of allocating social programs throughout the city of Vancouver. He will decide where these social outreach programs should be located based on the percentage of residents living below the poverty line in each region of the city. He takes a simple random sample of 123 people living in Gastown and finds that 24 have an annual income that is below the poverty line. For each of the following statements, specify whether the statement is a correct interpretation of the 95% confidence interval for the true proportion of Gastown residents living below the poverty line. A. 19.51% (24/123) of Gastown residents are living below the poverty line. ? + B. There is a 95% probability that the true proportion of Gastown residents who are living below the poverty line equals 24/123. ? + C. If another random sample of 123 Gastown residents is drawn, there is a 95% probability that the sample proportion of Gastown residents who are living…