The following is a list of 10 measurements. 56, -75, 92, -60, -31, 81, 87, 58, -87, 15 Send data to calculator Suppose that these 10 measurements are respectively labeled x, x, ..., x10: (Thus, - 56 is labeled x, -75 is labeled x,, and so on.) Compute the following. 10 E(-20) i= 1
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- The following is a list of 12 measurements.- 44, -10, -77, 9, 49, -94, -59, -6, 15, 16, -74, 6 Suppose that these 12 measurements are respectively labeled r,, r, .., t12. (Thus, - 44 is labeled xy, - 10 is labeled ty, and so on.) Compute the following.To increase egg production, a farmer decided to increase the number of times the lights in his henhouse were on. Ten hens were randomly selected, and the number of eggs each produced was recorded. After one week of lengthened light time, the same hens were monitored again. The data is given here. At α = 0.05, can it be concluded that the increased light time increased egg production? Hen 1 2 3 4 5 6 7 8 9 10 Before 4 3 8 7 6 4 9 7 6 5 After 6 5 9 7 4 5 10 6 9 6Suppose that these 12 measurements are respectively labeled, x2, …, x12. (Thus, −6 is labeled x1, −9 is labeled x2, and so on.) Compute the following.
- 2. Determine the approximate value of y if x = 1.5 for the data set {(-1, 5), (0, 1), (1, 1), (2, 11)} by Newton’s divided difference interpolation. Round off to three decimalsA paper describes an investigation in which 40 men and 40 women with online dating profiles agreed to participate in a study. Each participant's height (in inches) was measured and the actual height was compared to the height given in that person's online profile. The differences between the online profile height and the actual height (profile − actual) were used to compute the values in the accompanying table. Men Women xd = 0.53 xd = 0.08 sd = 0.81 sd = 0.75 n = 40 n = 40 For purposes of this exercise, assume it is reasonable to regard the two samples in this study as being representative of male online daters and female online daters. (Although the authors of the paper believed that their samples were representative of these populations, participants were volunteers recruited through newspaper advertisements, so we should be a bit hesitant to generalize results to all online daters.) Use the two-sample t test of Section 11.1 to test H0: ?m − ?f…Compute for the x-scores of the following: 1. z = 1.35, μ = 285.75, and σ = 17.4 2. z = -0.45, μ = 78.30, and σ = 16 3. z = -2.44, μ = 102.63, and σ = 35 4. z = 1.72, μ = 283.39, and σ = 24.5
- The following data are for the throughput, as measured by the number of wafer lots produced per day by different operators (A, B, C, and D) on different machines (each operator used each machine on two different days): Eighty-four working days were needed to collect the data. The numbers in parentheses refer to the days on which the results were obtained. For example, on the first day, operator A produced 17 lots using machine 2, and on the 84th day, operator A produced 18 lots using machine 5. On some days (such as the third day), more than one item of data was collected, and on other days (such as day 40), no data was collected. Analyze the data, stating all assumptions and conclusions.Calculate the z and the p-value for each of the following. Thanks!For each of the following tobs values, determine the highest level ofsignificance associated with the decision taken. NB please show calculations tbs df decision 4.000 17 Reject Ha for a two-tailed test 1.200 120 Reject Ha for a one-tailed test -2.666 16 Reject for both one-tailed and two-tailed test
- The cross-table created after the observations made according to the patients' post-treatment conditions with four different treatment techniques is as follows. if α=0.05 is taken, which of the following is true about the independence test of these variables? treatment techniquepatient status A B C D totalit got better 25 30 40 23 118 did not recover 25 20 10 27 82 total 50 50 50 50 200 A)The Chi-Square calculated is = 14.30. B)The Chi-square table value is=9.35. C)e13=20.5. D)The degree of freedom is = 8.A sample of n= 64 scores has a mean of M= 68. Assuming that the population mean is u=60, find the z-score for this sample: If it was obtained from a population with o= 16 Z=Strack, martin and Stepper (1988) reported that people rate cartoons as funnier when holding a pen in their teeth (Which force them to frown.) a researcher attempted to replicate this result using a sample of n = 30 adults between the ages of 32-37. For each person, the researcher recorded the difference between the rating obtained while smiling and the rating obtained while frowning. On the average cartoons were rated as funnier when the participants were smiling, with an average difference of 2.6 with SS = 200. a) Do the data indicate that the cartoons are rated significantly funnier when the participants are smiling? Use a two tailed test with α = 0.05. (Use the four logical steps in hypothesis testing) b) Compute for r2 to measure the size of the treatment effect. c) Write a sentence describing the outcome of the hypothesis test and the measure of effect size as it would appear in a research paper.