When using a dependent samples t-test, df = O n + n2 -1 On-2 On-1 O nn + n2- 2
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- Qs- In 2011, students asked to choose one of three exercises in a college, 51.6% of students chose category (A), 18.8% chose (B), and 29.7% chose (C). Assume that results were true for all students in 2011. Suppose a recent random sample of 520 student produced the frequencies given in the following table. Exercise category A в Number of students 141 131 248 By using Chi square, Test at a 5% significance level whether the current distribution of exercise frequency differs from that of 2011.Toss a fair coin 100 times. Let X be the number of heads that follow a tail, and let Y be the number of heads that follow a head. Please express your answers as single simplified fractions for each part. (a) Compute Var(X). (b) Compute Var(Y ). (c) Compute the correlation between X and Y.Never Married People The percentage of males 18 years and older who have never married is 30.4 . For females the percentage is 23.6 . Looking at the records in a particular populous county, a random sample of 250 men showed that 73 had never married and 50 of 200 women had never married. At the 0.05 level of significance, is the proportion of men greater than the proportion of women? Use the P -value method and let p1 be the proportion of men.
- Rolex claims that its watches on average will neither gain nor lose time during a week. A sample of 18 watches provided the following gains (+) or losses (−) in seconds per week. Seconds -0.32 -0.20 -0.38 -0.32 0.32 -0.23 0.30 0.25 -0.25 -0.31 -0.61 -0.48 -0.47 -0.44 -0.04 -0.20 -0.68 0.05 Is it reasonable to conclude that the mean gain or loss in time for the watches is 0? Use the .05 significance level. Based on the information above, find the Test statistics? -2.1098 2.1098 -3.197 0.0698answer in 30minstwinti4
- When using an independent samples t-test, the author of a journal article reported that t(30) = 3.60, p < .05. Should the researcher reject the null or fail to reject the null?Difference between two populations P1 and P2 can give results as? a P1+P2 b P1 > P2 c P1+2P2 d P1-2P2 what should be choose?Caffeine A student study of the effects of caffeine asked volunteers to take a memory test 2 hours after drink-ing soda. Some drank caffeine-free cola, some drank regular cola (with caffeine), and others drank a mixtureof the two (getting a half-dose of caffeine). Here are the5-number summaries for each group’s scores (number ofitems recalled correctly) on the memory test:a) Describe the W’s for these data.b) Name the variables and classify each as categorical orquantitative.c) Create parallel boxplots to display these results as bestyou can with this information.d) Write a few sentences comparing the performances ofthe three groups.
- Q1Here is a sample of amounts of weight change (kg) of college students in their freshman year: 13, 7, -3, -5, where -5 represents a loss of 5 kg and positive values represent weight gained. Here are ten bootstrap samples: {13, 13, 13, -3), (13, -5, -3, 13}, {13, 5, 7, 3), (7, 5, 3, 13), {-3, -3, -3, 7}, {7, 5, 7, 5), (13, 7, 5, 3}, {-5, 7, 5, 7), {-5, -3, -5, 7}, {7, 13, 13, 13). Complete parts (a) and (b) below. a. Using only the ten given bootstrap samples, construct an 80% confidence interval estimate of the mean weight change for the population. (Round to one decimal place as needed.)A real estate agent wishes to determine whether tax assessors and real estate appraisers agree on the values of homes. Random sample of the two groups appraised 10 homes. The data are shown here. At a = 0.05, is there a significant difference in the values of the homes for each group? (c) Real estate appraisers Tax assessors x1 = RM 83,256 S1 = RM 3,256 n, = 10 x2 = RM 88,354 S2 = RM 2,341 %3D n2 = 10