SUMMARY Groups Count Sum Average Variance Business 18 1208 151 386 Computer Science 17 932 133.1429 253.4762 Law 16 898 149.6667 360.2667 ANOVA Source of Variation Iss df MS P-value F crit Between Groups A 700.2381 F 0.152404 G Within Groups 6024.19 C H Total
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A university employment office wants to compare the time taken by graduates with three different majors to find their first full-time job after graduation. The following table lists the time (in days) taken to find their first full-time job after graduation for a random sample of eight business majors, seven computer science majors, and six engineering majors who graduated in May 2019.
find the values A to H
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- A company implemented a new sales management software program, hoping it will reduce the amount of time sales people spend on their computers. A sample of sales personnel computer usage before and after the new software implementation is provided below (also available for download here Computer.xlsx). At a 1% level of significance, can you conclude that the new software has reduced the amount of time sales people spend on their computers? YOU CAN ASSUME THE POPULATION TO BE NORMALLY DISTRIBUTED. Time Spent on Computer Employee ID Before New Software (hrs/wk) After New Software (hrs/wk) 91416 2.5 2 99305 5 5 82797 2.5 2.5 30838 6 6.5 13294 5 5 26278 9 8 74905 10 10 82358 7.5 8.5 79299 11 10.5 10243 6.5 5.5 21362 2 1 52331 8.5 8 86984 4 4 58264 4.5 5 56656 6.5 6 14778 4 4 70413 8.5 8 71094 6 7 83598 11 12 97170 3 3 20813 11 11 67218 8.5 8.5 24945 5.5 4.5 92186 3 3 84339 5 4 89381 6.5 6 41627 5.5 4.5 84214 10 9 98679 2 3…The table below shows the estimated vaccination coverage of adolescents aged 13-17 years, as reported in national surveys in 2020 and 2021. Vaccine Percent vaccinated (95% CI) Tdap (tetanus, diphtheria, and acellular pertussis vaccine) 2020: 90.1 (89.2–90.9) 2021: 89.6 (88.6–90.5) MMR (measles, mumps, and rubella vaccine) 2020: 92.4 (91.6–93.2) 2021: 92.2 (91.2–93.2) HPV (human papillomavirus vaccine) 2020: 58.6 (57.3–60.0) 2021: 61.7 (60.2–63.2) Answer these: a. For which vaccine(s) was there a statistically significant change in coverage from 2020 to 2021? For each, note whether it was a statistically significant increase or decrease? b. For which vaccine(s) was there no significant change in coverage from 2020 to 2021?A customer relations manager is interested to know how long it takes for customers to fill out extended warranty forms for a particular product. Data below shows the time to fill out the forms by 11 customers. Test, at 5% level, whether the median time to fill out the forms exceeds 3 minutes. Customer Fill Time (minutes) 1 3.7 2 2.8 3 3.2 4 3.9 5 4.4 6 3.1 7 3.5 8 5.4 9 3 10 3.7 11 4.5 State the hypotheses. What statistical test should be used to determine if the median time to fill out the forms exceeds 3 minutes.? Set up the decision rule. (α=0.05) Compute the test statistic and find the p-value. Interpret your results. Give your conclusion.
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- Studies have shown that omega-3 fatty acids have a wide variety of health benefits. Omega-3 oils can be found in foods such as fish, walnuts, and flaxseed. A company selling milled flaxseed advertises that one tablespoon of the product contains, on average, at least 3800 mg of ALNA, the primary omega-3. a) The company plans to conduct a test to ensure that there is sufficient evidence that its claimiscorrect. Tobesafe,thecompanywantstomakesurethatevidenceshowsthe average is higher than 3800 mg. What are the null and alternative hypotheses? b) Suppose, instead, that a consumer organization plans to conduct a test to see if there is evidence against the claim that the product contains an average of 3800 mg per tablespoon. The consumer organization will only take action if it finds evidence that the claim made by the company is false and that the actual average amount of omega-3 is less than 3800 mg. What are the null and alternative hypotheses?Are you an impulse shopper? A survey of 1000 grocery shoppers indicated that 24% of males and 57%of females make an impulse purchase every time they shop. Assume that the survey consisted of 500 males and 500 females. Complete parts (a) and (b) below. Question content area bottom Part 1 a. At the 0.01 level of significance, is there evidence of a difference in the proportion of males and females who make an impulse purchase every time they shop? Let group 1 be the males, and let group 2 be the females. State the null and alternative hypotheses. Choose the correct answer below. A. H0:π1≥π2 H1:π1<π2 BH0:π1≠π2 H1:π1=π2 C.H0:π1≤π2 H1:π1>π2 D.H0:π1=π2 H1:π1≠π2 E.H0:π1<π2 H1:π1≥π2 F.H0:π1>π2 H1:π1≤π2 Part 2 Calculate the test statistic. χ2STAT= (Round to three decimal places as needed.) Part 3 Determine the critical value. The critical value is - (Round to three decimal places as needed.) Part 4 State…The British Department of Transportation studied to see if people avoid driving on Friday the 13th. They did a traffic count on a Friday and then again on a Friday the 13th at the same two locations. The data for each location on the two different dates is in the table. Do the data show that on average fewer people drive on Friday the 13th? Test at the 5% level.Traffic Count Dates 6th 13th 1990, July 137669 135825 1990, July 129699 128891 1991, September 136898 138275 1991, September 138966 139940 1991, December 132021 129640 1991, December 119268 119214 1992, March 131938 131104 1992, March 123306 124760 1992, November 129499 129219 1992, November 138568 135934
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