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- A statistics instructor would like to know whether it is worthwhile to require students to do weekly homework assignments. For Section1 of the course, homework is assigned, collected and graded each week. In Section2, students are not required to turn in homework. At the end of the semester, the students are given the same final exam. In Section1, the numbers of students getting each grade are: 16 students got A, 22 students got B, 8 students got C, and 4 students got D. In Section2, the numbers of students getting each grade are: 8 students got A, 18 students got B, 18 students got C, and 6 students got D. Is there an association between assigning homework and exam grade? Test at the alpha = 0.05 level. a. We reject the null hypothesis with two-tailed critical values; there is an association between assigning homework and exam grade. b. We reject the null hypothesis with one-tailed critical value; there is an association between assigning homework and exam…Sir, please solve this problem asap.No need any kind of broad explanation. Only providing the answer with a one or two line explanation will be enough. Thank you.Part 4: Suppose that 53 of the 55 Computer Science students of San Sebastian College, Manila are taking at least one of the mathematics subjects Algebra, Trigonometry and Calculus. See the figure below for more details: 24 taking Algebra, 26 taking Trigonometry, 20 taking Calculus, 5 taking Algebra and Trigonometry, 7 taking Algebra and Calculus, 8 taking Trigonometry and Calculus. a. Find the number of students who are taking all three mäthematics subjects. b. Fill in the correct number of students in each of the eight regions of the Venn diagram. c. Determine the number of students who are not taking any of the three mathematics subjects? d. How many students are taking Algebra as their only mathematics subject? e. How many students were taking Calculus and Trigonometry but not Algebra?
- What is a three-way table? Can you give me an example?A bag contains five red marbles, three green ones, one lavender one, three yellows, and two orange marbles. HINT [See Example 7.] How many sets of four marbles include none of the red ones?With a short time remaining in the day, a delivery driver has time to make deliveries at 7 locations among the 8 locations remaining. How many different routes are possible? There are possible different routes. (Simplify your answer.)
- A poker hand consists of five cards from a standard deck of 52. (See the chart preceding Example 8.) Find the number of different poker hands of the specified type. HINT [See Example 8.] Two of a kind (two of one denomination and three of different denominations)nick and Casey are playing darts on the board that has five regions labeled a, b, c, d, and e in which of the regions is a dart most likely to fall?Mateo believes that completely cutting caffeine out of a person's diet will allow them more restful sleep at night. He randomly selects 8 adults to help him test this theory. Each person is asked to consume two caffeinated beverages per day for 28 days and then cut back to no caffeinated bevarages for an additional 28 days. During each period, the participants record the number of nights of restful sleep that they had. The following table gives the results of the study. Test Mateo's claim at the 0.05 level of significance. Give answers to 4 decimal places as needed. Number of Nights of Restful Sleep in a Four-Week Period 15 With Caffeine 21 20 22 24 18 21 24 20 26 26 22 21 23 27 23 Without Caffeine a) The normal probability plot showed the differences follow a normal distribution and the boxplot showed no outliers. b) Test the claim (1) Determine the null and alternative hypotheses. Enter correct symbol and values Ho: H₁: (2) Type of test: (3) a = (4) Test statistic (to) = p-value =…
- QUESTION 3 You are going to create a portfolio consisting of 2 stocks. There are 6 available stocks to choose from. How many different portfolios are possible?Part A,B and C please.Two players play a game with the following rules: Player 1 puts on a blindfold while player two throws a die. The number that he gets is put aside as the "Target value". Then player two throws another die three times while giving player 1 information on weather he gets a lesser number than the target, equal to the target or greater than the target. Imagine that you are player one and you are handed the information that player two got [Lesser, equal, greater]. Deduce the probabilities of each possible target given the information.