A marketing agency gives following information about the age-groups of the - sampie informants and their liking for a particular model of car which a company plans to introduce : Age Group of Informants Model Below 20 20-39 40-59 Total 605 395 420 Liked Disliked 125 75 60 100 220 Total 200 640 160 1,000 On the basis of the above data, can it be concluded that the model appeal is independent of the age-group of the informants ?
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- On snow-covered roads, winter tires enable a car to stop in a shorter distance than if summer tires were installed. In terms of the additive model for one-way ANOVA, and for an experiment in which the mean stopping distances on a snow-covered road are measured for each of four brands of winter tires. If the data are as shown in Sheet 48, what conclusion would be reached at the 0.01 level of significance? Shett 48 Supplier A 517 484 463 452 502 447 481 500 485 566 Supplier B 479 499 488 430 482 457 424 488 526 455 Supplier C 435 443 480 465 435 430 465 514 463 510 Supplier D 526 537 443 505 468 533 481 477 490 470 Select one: a) p-value = 0.28 greater than 0.05, the average distance is different for at list two tires b) F stat = 1.86, F crit = 4.38, not enough evidence to claim that the average distance is different for at list two tires c) F ratio = 4.38, not enough evidence to claim that the average distance is different for at list two tires d) F stat = 0.68, F…A paper investigated the driving behavior of teenagers by observing their vehicles as they left a high school parking lot and then again at a site approximately 1 2 mile from the school. Assume that it is reasonable to regard the teen drivers in this study as representative of the population of teen drivers. MaleDriver FemaleDriver 1.3 -0.3 1.3 0.6 0.9 1.1 2.1 0.7 0.7 1.1 1.3 1.2 3 0.1 1.3 0.9 0.6 0.5 2.1 0.5 (a) Use a .01 level of significance for any hypothesis tests. Data consistent with summary quantities appearing in the paper are given in the table. The measurements represent the difference between the observed vehicle speed and the posted speed limit (in miles per hour) for a sample of male teenage drivers and a sample of female teenage drivers. (Use ?males − ?females. Round your test statistic to two decimal places. Round your degrees of freedom down to the nearest whole number. Round your p-value to three decimal places.) t = df =…A paper investigated the driving behavior of teenagers by observing their vehicles as they left a high school parking lot and then again at a site approximately 1 2 mile from the school. Assume that it is reasonable to regard the teen drivers in this study as representative of the population of teen drivers. MaleDriver FemaleDriver 1.4 -0.2 1.2 0.5 0.9 1.1 2.1 0.7 0.7 1.1 1.3 1.2 3 0.1 1.3 0.9 0.6 0.5 2.1 0.5 (a) Use a .01 level of significance for any hypothesis tests. Data consistent with summary quantities appearing in the paper are given in the table. The measurements represent the difference between the observed vehicle speed and the posted speed limit (in miles per hour) for a sample of male teenage drivers and a sample of female teenage drivers. (Use ?males − ?females. Round your test statistic to two decimal places. Round your degrees of freedom down to the nearest whole number. Round your p-value to three decimal places.) t = df =…
- An MP of one city constituency complained in parliament that his constituency consists of mainly poorly paid workers. His colleagues demanded that he substantiates his claim. Mtuwetu hired a statistician who collected data on monthly salaries from a sample of 500 residents of the constituency. The statistician recorded the following data: Monthly salary (ksh 000) No. of residents 0-5 50 5 – 10 170 10 – 15 210 15 – 20 40 20 – 25 20 25 – 30 10 Suppose ksh 8,000 and 22,000 are the divided salary points of lower, middle, and upper-income groups. What proportion of the constituents fall in each of the income groupsA professor at a large university believes that work-study students work an average of 15 hours each week. A random sample of 24 students from a group of 250 work-study students reported the following number of hours worked in one week. (HINT: Put into L1 and then choose data when constructing the test.) 12 13 14 14 15 15 15 16 16 16 16 16 17 17 17 18 18 18 18 19 19 19 20 21 Does this sample indicate that work-study students are working more hours than the professor believes? Test an appropriate hypothesis and state your conclusion using a significance level of 0.05.Below are the results for the three periods between the USA Stock and the USA Treasuary Bills. The complete sample, January 1950 to December 2017. Correlation = -0.159596558 The subsample, January 1950 to December 1969. Correlation = -0.262086255 The subsample, January 1970 to December 2017. Correlation = -0.142338644 required, interprete the meaning of the results and if the null hypothesis was that the colerration is 0 would that be true?
- To test for any significant difference in the number of hours between breakdowns for four machines, the following data were obtained. Machine1 Machine2 Machine3 Machine4 6.6 8.9 10.9 9.8 8.0 7.5 10.1 12.8 5.7 9.6 9.5 12.0 7.6 10.4 10.2 10.8 8.7 9.5 9.1 11.3 7.8 9.9 9.0 11.1 (a) At the ? = 0.05 level of significance, what is the difference, if any, in the population mean times among the four machines? State the null and alternative hypotheses. H0: At least two of the population means are equal.Ha: At least two of the population means are different.H0: ?1 ≠ ?2 ≠ ?3 ≠ ?4Ha: ?1 = ?2 = ?3 = ?4 H0: ?1 = ?2 = ?3 = ?4Ha: ?1 ≠ ?2 ≠ ?3 ≠ ?4H0: Not all the population means are equal.Ha: ?1 = ?2 = ?3 = ?4H0: ?1 = ?2 = ?3 = ?4Ha: Not all the population means are equal. Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value = State your conclusion. Do not reject H0. There is…Your research team reads the article that is summarized in Question 2. Your team argues that the research design is flawed and that all participants should have been exposed to both conditions in order to observe a true difference. Your team carries out a similar study, yielding the data below. Participant ID No VR Condition VR Condition _______ 001 21 20 002 23 23 003 19 17 004 22 23 005 24 20 006 22 19 007 23 20 008 23 17 009 21 19 010 20 17 011 22 20 012 19 20 013 18 21 014 23 18 015 21 17 016 20 19 017 19 20 018 24 18 019 25 20 020 22 22 a.) What sort of research design is used in this study? How do you know? b.) What values go in the last column? Write the (very simple) formula used to calculate the last column below and then go…A group of high-risk automobile drivers (with three moving violations in one year) are required, according to random assignment, either to attend a traffic school or to perform supervised volunteer work. During the subsequent five-year period, these same drivers were cited for the following number of moving violations: NUMBER OF MOVING VIOLATIONS TRAFFIC SCHOOL VOLUNTEER WORK 0 26 0 7 15 4 9 1 7 1 0 14 2 6 23 10 7 8 Why might the Mann–Whitney U test be preferred to the t test for these data? Use U to test the null hypothesis at the .05 level of significance. Specify the approximate p-value for this test result.
- To test for any significant difference in the number of hours between breakdowns for four machines, the following data were obtained. Machine1 Machine2 Machine3 Machine4 6.6 8.8 10.9 9.5 7.9 7.3 10.0 12.5 5.5 9.3 9.3 11.9 7.6 10.2 10.0 10.6 8.5 9.2 8.8 11.1 7.1 9.8 8.6 11.0 (a) At the ? = 0.05 level of significance, what is the difference, if any, in the population mean times among the four machines? State the null and alternative hypotheses. -H0: Not all the population means are equal.Ha: ?1 = ?2 = ?3 = ?4 -H0: ?1 ≠ ?2 ≠ ?3 ≠ ?4Ha: ?1 = ?2 = ?3 = ?4 -H0: At least two of the population means are equal.Ha: At least two of the population means are different. -H0: ?1 = ?2 = ?3 = ?4Ha: Not all the population means are equal. -H0: ?1 = ?2 = ?3 = ?4Ha: ?1 ≠ ?2 ≠ ?3 ≠ ?4 Find the value of the test statistic. (Round your answer to two decimal places.) Statistic=?? Find the p-value. (Round your answer to three decimal places.) p-value = ?? State your conclusion. Do…A professor at a large university believes that work-study students work an average of 15 hours each week. A random sample of 24 students from a group of 250 work-study students reported the following number of hours worked in one week. (HINT: Put into L1 and then choose data when constructing the test.)12 13 14 14 15 15 15 16 16 16 16 1617 17 17 18 18 18 18 19 19 19 20 21Does this sample indicate that work-study students are working more hours than the professor believes? Test an appropriate hypothesis and state your conclusion.In a study conducted to investigate browsing activity by shoppers, each shopper was initially classified as a nonbrowser, light browser, or heavy browser. For each shopper, the study obtained a measure to determine how comfortable the shopper was in a store. Higher scores indicated greater comfort. Suppose the following data were collected. Light Heavy Nonbrowser Browser Browser 10 9 7 11 10 9 12 9 7 9 8 9 9 11 6 10 8 8 11 10 7 10 9 9 . Use to test for a difference among mean comfort scores for the three types of browsers. Compute the values identified below (to 2 decimals, if necessary). Sum of Squares, Treatment Sum of Squares, Error Mean Squares, Treatment Mean Squares, Error Calculate the value of the test statistic (to 2 decimals, if necessary). The -value is - Select your answer -less than .01between .01 and .025between .025 and .05between .05 and .10greater than .10Item 6 What is your…