The following is a list of 12 measurements. 10,-31, -39, 27, 25, 31, 99, 87, -33, 43, 1, 51 Send data to calculator Send data to Excel Suppose that these 12 measurements are respectively labeled x, N (Thus, 10 is labeled 31 is labeled x and so on.) Compute the following. 12 10
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- 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 decimalsThe 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 6
- 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.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.From the data points (15, 24), (18, 37), (22, 25), determine f (16) using Newton's divided difference interpolation. Round-off to 3 decimal places. asap
- 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 testThe population (in millions) and the violent crime rate (per 1000) were recorded for 10 metropolitan areas. The data are shown in the following table. Do these data provide evidence to reject the null hypothesis that ? = 0 in favor of ? ≠ 0 at ? = .05? (Give your answers correct to three decimal places.) Population 10.4 2 3.4 6 6.2 1.2 2.7 3.1 0.8 5 Crime Rate 12.6 8.9 7.5 8.9 7.8 9.3 8 7.4 8.6 9.3 (a) Calculate r. _______(ii) Calculate the critical region._____ (smaller value) ______(larger value)(b) State the appropriate conclusion. Reject the null hypothesis, there is not significant evidence that ? ≠ 0.Reject the null hypothesis, there is significant evidence that ? ≠ 0. Fail to reject the null hypothesis, there is not significant evidence that ? ≠ 0.Fail to reject the null hypothesis, there is significant evidence that ? ≠ 0.A humane society claims that less than 64% of households in a certain country own a pet. In a random sample of 700 households in that country, 427 say they own a pet. At alphaαequals=0.01, is there enough evidence to support the society's claim? Complete parts (a) through (c) below. (a) Identify the claim and state Upper H 0H0 and Upper H Subscript aHa. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) A. nothing% of households in the country own a pet. B. More than nothing% of households in the country own a pet. C. Less than nothing% of households in the country own a pet. D. The percentage households in the country that own a pet is not nothing%. Let p be the population proportion of successes, where a success is a household in the country that owns a pet. State Upper H 0H0 and Upper H Subscript aHa. Select the…
- The following is a list of 10 measurements. −83, 38, −80, 78, 14, 56, 54, −20, −37, 33 Suppose that these 10 measurements are respectively labeled x1, x2, …, x10. (Thus, −83 is labeled x1, 38 is labeled x2, and so on.) Compute the following. Round your answer to at least two decimal places.Suppose μ1 and μ2 are true mean stopping distances at 50 mph for cars of a certain type equipped with two different types of braking systems. The data follows: m = 8, x = 114.6, s1 = 5.03, n = 8, y = 129.3, and s2 = 5.38. Calculate a 95% CI for the difference between true average stopping distances for cars equipped with system 1 and cars equipped with system 2. (Round your answers to two decimal places.) ,A 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 = 0.59 xd = 0.01 sd = 0.81 sd = 0.75 n = 40 n = 40 You can 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.) (a) Use the paired t test to determine if there is convincing evidence that, on average, male…
