A study was made to check whether it is true that on the daily average income men earn more than women in a certain factory. Following are the data: Number of Sex Mean SD Workers Male 75 P 418.22 P 36.20 Female 60 P 381.65 P 33.85 Use the z test at .05 level of significance to test the null hypothesis that there is no significant difference between the income of male and female workers
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- A random sample of Engineering and Architecture students of a university were interviewed to determine if there is an association between study habits and academic performance. The results were tabulated below. Students Favourable Neutral Unfavourable Engineering 80 60 70 Architecture 100 50 70 Test the hypothesis that there is no significant difference between the study habits and academic performance using a 0.05 level of significance.A city is collecting data on two neighborhoods, one low income and one middle income, to see whether or not their residents would support an increase in local sales tax to pay for more city services. The city wishes to see if there is evidence to show that the first neighborhood (low income) has a lower level of support for the tax compared to the second neighborhood (middle income).You wish to test the following claim (HaHa) at a significance level of α=0.002 Ho:p1=p2 Ha:p1<p2You obtain a sample from the first population with 219 successes and 131 failures. You obtain a sample from the second population with 177 successes and 53 failures.What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value = The p-value is... less than (or equal to) αα greater than αα This test statistic leads to a decision to... reject the null accept…A Michigan study concerning preference for outdoor activities used a questionnaire with a six-point Likert-type response in which 1 designated "not important" and 6 designated "extremely important." A random sample of n1 = 47 adults were asked about fishing as an outdoor activity. The mean response was x1 = 4.9. Another random sample of n2 = 48 adults were asked about camping as an outdoor activity. For this group, the mean response was x2 = 4.2. From previous studies, it is known that σ1 = 1.4 and σ2 = 1.8. Does this indicate a difference (either way) regarding preference for camping versus preference for fishing as an outdoor activity? Use a 5% level of significance.Note: A Likert scale usually has to do with approval of or agreement with a statement in a questionnaire. For example, respondents are asked to indicate whether they "strongly agree," "agree," "disagree," or "strongly disagree" with the statement. What is the value of the sample test statistic? (Test the difference μ1 −…
- A Michigan study concerning preference for outdoor activities used a questionnaire with a six-point Likert-type response in which 1 designated "not important" and 6 designated "extremely important." A random sample of n1 = 45 adults were asked about fishing as an outdoor activity. The mean response was x1 = 4.9. Another random sample of n2 = 55 adults were asked about camping as an outdoor activity. For this group, the mean response was x2 = 4.0. From previous studies, it is known that σ1 = 1.5 and σ2 = 2.0. Does this indicate a difference (either way) regarding preference for camping versus preference for fishing as an outdoor activity? Use a 5% level of significance. Note: A Likert scale usually has to do with approval of or agreement with a statement in a questionnaire. For example, respondents are asked to indicate whether they "strongly agree," "agree," "disagree," or "strongly disagree" with the statement. (a) What is the level of significance? What is the value of the sample…A Michigan study concerning preference for outdoor activities used a questionnaire with a six-point Likert-type response in which 1 designated "not important" and 6 designated "extremely important." A random sample of n1 = 42 adults were asked about fishing as an outdoor activity. The mean response was x1 = 4.9. Another random sample of n2 = 55 adults were asked about camping as an outdoor activity. For this group, the mean response was x2 = 4.3. From previous studies, it is known that σ1 = 1.3 and σ2 = 1.2. Note: A Likert scale usually has to do with approval of or agreement with a statement in a questionnaire. For example, respondents are asked to indicate whether they "strongly agree," "agree," "disagree," or "strongly disagree" with the statement. (a) What is the value of the sample test statistic? Compute the corresponding z or t value as appropriate. (Test the difference μ1 − μ2. Round your answer to two decimal places.)(b) Find (or estimate) the P-value. (Round your answer to…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…
- To test the fairness of law enforcement in its area, a local citizens’ group wants to know whether women and men are unequally likely to get speeding tickets. Four hundred randomly selected adults were phoned and asked whether or not they had been cited for speeding in the last year. Using the results in the following table and a 0.10 level of significance, test the claim of the citizens’ group. Let men be Population 1 and let women be Population 2. Speeding Tickets Ticketed Not Ticketed Men 12 183 Women 30 175 Copy Data Step 2 of 3 : Compute the value of the test statistic. Round your answer to two decimal places.A Michigan study concerning preference for outdoor activities used a questionnaire with a six-point Likert-type response in which 1 designated "not important" and 6 designated "extremely important." A random sample of n1 = 44 adults were asked about fishing as an outdoor activity. The mean response was x1 = 4.9. Another random sample of n2 = 47 adults were asked about camping as an outdoor activity. For this group, the mean response was x2 = 5.6. From previous studies, it is known that σ1 = 1.2 and σ2 = 2.0. Does this indicate a difference (either way) regarding preference for camping versus preference for fishing as an outdoor activity? Use a 5% level of significance. 1. What is the value of the sample test statistic? (Test the difference μ1 − μ2. Round your answer to two decimal places.) 2. Find (or estimate) the P-value. (Round your answer to four decimal places.)A Michigan study concerning preference for outdoor activities used a questionnaire with a six-point Likert-type response in which 1 designated "not important" and 6 designated "extremely important." A random sample of n1 = 46 adults were asked about fishing as an outdoor activity. The mean response was x1 = 4.9. Another random sample of n2 = 48 adults were asked about camping as an outdoor activity. For this group, the mean response was x2 = 5.8. From previous studies, it is known that σ1 = 1.8 and σ2 = 1.9. Does this indicate a difference (either way) regarding preference for camping versus preference for fishing as an outdoor activity? Use a 5% level of significance.Note: A Likert scale usually has to do with approval of or agreement with a statement in a questionnaire. For example, respondents are asked to indicate whether they "strongly agree," "agree," "disagree," or "strongly disagree" with the statement. (a) What is the level of significance? What is the value of the sample…