6. The following data resulted from an experiment to compare three burners, B₁, B₂ and B3. A Latin square design was used as the tests were made on three engines and were spread over three days. Engine 3 B3 20 B₁ 15 B₂ 13 Engine I Engine 2 Day 1 B, 16 B₂ 17 Day 2 B₂ 16 B3 21 Day 3 B, 15 B₁ 12 Test the hypothesis that there is no difference between the bu
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- Suppose 50 percent of the customers at Pizza Palooza order a square pizza, 70 percent order a soft drink, and 35 percent order both a square pizza and a soft drink. Is ordering a soft drink independent of ordering a square pizza? Mutiple Choice:a. No b. YesIn comparing the average protein content µ1 and µ2 of two brands of dog food, a consumer testing service finds that fifty 5-pund packages of brand A dog food had an average protein content x̅1=11 ounces per package and a s.d of s1 = 1 ounce, while sixty-5 pound packages of brand B dog food has an average protein content x̅2=9ounces per package and a s.d of s2 = 0.5 ounce. A difference of 0.5 ounces is considered to be not sufficiently important to report as a consumer issue. Therefore, a decision was made to test the hypothesis.b) Material is analyzed for weight in grams from three vendors-A, B, C- by three different inspectors –1, 2, 3- and using three different scales 1, 2, 3. The experiment is set up on a Latin square plan with results as follows: Scale Inspector Vendor Weight 1 1 A 15 1 2 C 9 1 3 B 14 2 1 C 13 2 2 B 11 2 3 3 1 B 16 3 2 A 10 3 3 C 11 (i) Analyse the data and draw conlusions.
- a) Verify that the 95% CI for the difference in the proportions of female Hispanic drivers in the two citieswho wear seat belts pNY − pBT is (0.149, 0.353). Show your computation. b) Determine if the following statements are true or false, and explain your reasoning if you identify thestatement as false.i. There was strong evidence that pNY > pBT.ii. 95% of random samples of 220 female Hispanic drivers in New York City and 117 female Hispanicdrivers in Boston will yield differences in sample proportions between 14.9% and 35.3%.iii. A 90% confidence interval for pNY − pBT would be wider.iv. A 95% confidence interval for pBT − pNY is (−0.353, −0.149).Suppose 51 percent of the customers at Pizza Palooza order a square pizza, 73 percent order a soft drink, and 47 percent order both a square pizza and a soft drink. Is ordering a soft drink independent of ordering a square pizza? Yes NoHow do i find the occupancy rate for multiple lots? This spreadsheets contains more lots than given. I only provided are part of lot 1 and a part of lot 2 because the file is too large. They all run together in one file and need the occupancy rate which is column D on my spreadsheet. LotCode LotCapacity LotOccupancy OccupancyRate TimeStamp Day Lot01 863 174 11/20/2016 8:01 Sunday Lot01 863 179 11/20/2016 8:27 Sunday Lot01 863 189 11/20/2016 9:01 Sunday Lot01 863 197 11/20/2016 9:27 Sunday Lot01 863 226 11/20/2016 10:01 Sunday Lot01 863 247 11/20/2016 10:27 Sunday Lot01 863 331 11/20/2016 11:01 Sunday Lot01 863 400 11/20/2016 11:27 Sunday Lot01 863 469 11/20/2016 12:01 Sunday Lot01 863 510 11/20/2016 12:34 Sunday Lot01 863 594 11/20/2016 13:07 Sunday Lot01 863 618 11/20/2016 13:27 Sunday Lot01 863 637 11/20/2016 14:01 Sunday Lot01 863 655 11/20/2016 14:27 Sunday Lot01 863 634 11/20/2016 15:01 Sunday Lot01 863 597…
- 15.3 #2 An article gave the accompanying data on the dimensions (in cm) of 27 representative food products. Product Maximum Width (cm) Minimum Width (cm) 1 2.55 1.80 2 2.90 2.70 3 2.10 2.00 4 2.90 2.60 5 3.25 3.15 6 2.00 1.80 7 1.55 1.50 8 4.80 3.80 9 5.85 5.00 10 5.80 4.75 11 2.85 2.80 12 2.45 2.10 13 2.55 2.20 14 2.60 2.60 15 2.75 2.60 16 3.10 2.90 17 5.15 5.10 18 10.20 10.20 19 3.45 3.50 20 2.70 1.20 21 3.05 1.70 22 2.70 1.75 23 2.45 1.70 24 2.40 1.20 25 4.45 1.20 26 7.50 7.50 27 4.20 4.25 (a) Fit the simple linear regression model that would allow prediction of the maximum width of a food container based on its minimum width. (Round your answers to three decimal places.) ŷ = _____+(_____)x The data point with the largest residual is for a 1-liter bottle of a certain soft drink. Delete this data point and refit the regression. (Round your answers to three decimal places.) ŷ =_____+(______)x15.3 #2 An article gave the accompanying data on the dimensions (in cm) of 27 representative food products. Product Maximum Width (cm) Minimum Width (cm) 1 2.55 1.80 2 2.90 2.70 3 2.10 2.00 4 2.90 2.60 5 3.25 3.15 6 2.00 1.80 7 1.55 1.50 8 4.80 3.80 9 5.85 5.00 10 5.80 4.75 11 2.85 2.80 12 2.45 2.10 13 2.55 2.20 14 2.60 2.60 15 2.75 2.60 16 3.10 2.90 17 5.15 5.10 18 10.20 10.20 19 3.45 3.50 20 2.70 1.20 21 3.05 1.70 22 2.70 1.75 23 2.45 1.70 24 2.40 1.20 25 4.45 1.20 26 7.50 7.50 27 4.20 4.25 (a) Fit the simple linear regression model that would allow prediction of the maximum width of a food container based on its minimum width. (Round your answers to three decimal places.) ŷ =____+ (____)x B) The data point with the largest residual is for a 1-liter bottle of a certain soft drink. Delete this data point and refit the regression. (Round your answers to three decimal places.) ŷ =____+(____)xSuppose 60 percent of the customers at Pizza Palooza order a square pizza, 80 percent order a soft drink, and 48 percent order both a square pizza and a soft drink. Is ordering a soft drink independent of ordering a square pizza?
- Globally, 35% of all ridged brittleshell tortoises have spots on their shells. A herpetologist in Citition collects a sample of 38 ridged brittlesell tortoises and finds that 16 of them have spots on their shells. The herpetologist would like to test the claim that the proportion of ridged brittleshell tortoises in Cititon with spots on their shells is greater than 35%. The herpetologist ends up rejecting the null hypothesis. If the actual proportion of ridged brittleshell tortoises in Cititon with spots on their shells is 41%, then what type of error, if any, has occurred? In the problem above, what is the test statistic?To see if the average number of family-owned daycares per county is greater than the average number of daycare centers per county, a researcher randomly surveys some of the counties in her state and the numbers given below. At α = 0.01, can it be concluded that the average number of family-owned daycares is greater than the average number of daycare centers? Number of family-owned daycares Number of daycare centers 27 56 33 15 13 24 41 23 45 12 20 42 What is the critical value, test statistic, pvalue, and the decision for this hypothesis test?To see if the average number of family-owned daycares per county is greater than the average number of daycare centers per county, a researcher randomly surveys some of the counties in her state and the numbers given below. At α = 0.01, can it be concluded that the average number of family-owned daycares is greater than the average number of daycare centers? Number of family-owned daycares Number of daycare centers 27 56 33 15 13 24 41 23 45 12 20 42 What is the test statistic for this hypothesis test? To see if the average number of family-owned daycares per county is greater than the average number of daycare centers per county, a researcher randomly surveys some of the counties in her state and the numbers given below. At α = 0.01, can it be concluded that the average number of family-owned daycares is greater than the average number of daycare centers? Number of family-owned daycares Number of daycare centers 27 56 33 15…
