what is the critical value at 5% significance level
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Three types of medium sized cars assembled in New Zealand have been test driven by a motoring magazine and compared on a variety of criteria. In the area of fuel efficiency performance, five cars of each brand were each test driven 1000 km; the km per litre data are obtained as follows (kilometres per litre): Brand A (7.6; 8.4; 8.0; 7.6; 8.4). Brand B (7.8; 8.0; 9.1; 8.5; 9.6). Brand C (9.6; 10.4; 9.2; 9.7; 10.6). SSE = 4.26 and TSS = 13.693. what is the critical value at 5% significance level
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- The owner of a new car conducts a series of six gas mileage tests and obtains the following results, expressed in miles per gallon: 3., 22.7, 21.4, 20.6, and 21.4. 20.9. Find the mode for these data.The following data are collected from pregnant women to compare the Plasma ascorbic acid level of smokers and non-smokers. Table: Plasma ascorbic acid values Non-smokers 0.97, 0.72, 1.00, 0.81, 0.62, 1.32, 1.14, 1.22, 0.90, 0.74, 0.88, 0.94 Smokers 0.88, 0.71, 0.98, 0.79, 1.01, 1.16, 0.78, 1.28 Test whether there is any difference between plasma ascorbic acid levels of smokers and non-smokers. Also find 95% confidence interval for the difference of two means. Describe your findings. Use alpha=0.05 [Hint: use hypothesis, test statistics confidence interval etc.]In an attempt to develop a model of wine quality as judged by wine experts, data on alcohol content and wine quality was collected from variants of a particular wine. From a sample of 12 wines, a model was created using the percentages of alcohol to predict wine quality. For those data, SSR=19,812 and SST=30,298. Use this information to complete parts (a) through (c) below. a. Determine the coefficient of determination, r2, and interpret its meaning. r2=enter your response here (Round to three decimal places as needed.) Interpret the meaning of r2. It means that enter your response here% of the variation in ▼ alcohol content wine quality can be explained by the variation in ▼ alcohol content. wine quality. (Round to one decimal place as needed.) b. Determine the standard error of the estimate. SYX=enter your response here (Round to four decimal places as needed.) c. How useful do you think this regression model is for predicting wine…
- Martha’s Vineyard Marine Supply is a wholesaler for a large variety of boating and fishing equipment. The company’s controller, Mathew Knight, has recently completed a cost study of the firm’s material-handling department. Knight used work measurement to quantify the department’s activity. The control factor unit used in the work-measurement study was hundreds of pounds of equipment unloaded or loaded at the company’s loading dock. Knight compiled the following data. 1. Construct an Excel spreadsheet and use the Excel commands to perform a least-squares regression. Estimate the variable- and fixed-cost components in the company’s material-handling department costs. Note: Round the Variable-cost component to 2 decimal places and the Fixed-cost component to the nearest whole dollar amount. Fixed-cost component = Variable-cost component =Which of the following designs refers to a study in which the units of analysis are populations or groups of people rather than individuals (select one best answer)? Ecological study Case-control Study Cohort study Cross-sectional study None of the aboveThree types of medium sized cars assembled in New Zealand have been test driven by a motoring magazine and compared on a variety of criteria. In the area of fuel efficiency performance, five cars of each brand were each test driven 1000 km; the km per litre data are obtained as follows (kilometres per litre): Brand A (7.6; 8.4; 8.0; 7.6; 8.4). Brand B (7.8; 8.0; 9.1; 8.5; 9.6). Brand C (9.6; 10.4; 9.2; 9.7; 10.6). SSE = 4.26 and TSS = 13.693. State the correct hypotheses. O A. Ho: At least 2 of the means differ vs H1: µ1 = µ2 = µ3 Ο Β. Ho:μ1 # μ2 #μ3 vs H1: μ1 = μ2 μ3 O C. HO: u1 = µ2 = 13 vs H1: At least 2 of the means differ O D. H1: µ1 = µ2 = p3 vs Ho: At least 2 of the means differ
- A healthcare provider monitors the number of CAT scans perfomed each month in each of its clinics. The most recent year of data for a particular clinics follows (the reported variable is the number of CAT scans each month expressed as the number of CAT scans per thousand members of the health plan): 2.31, 2.09, 2.36, 1.95, 1.98, 2.25, 2.16, 2.07, 1.88, 1.94, 1.97, 2.02. Find a two-sided 95% confidence interval for the standard deviation. What should you do to address any reservations about this confidence interval? Round your answers to two decimal places (e.g. 98.76).The Federal Bureau of Investigation (FBI), as part of its internal security mission, serves as a database for all the reported crimes committed in the United States. One question that might be of interest is does having more police officers reduce the number of homicides? To investigate this claim, the 2013 data from the twenty largest municipal cities was supplied by the FBI's Uniform Crime Report. Below are two observations from the dataset: > head (cities) City Pop Homicides Police Density MedHome Mayor 1 New York 8175.133 335 4.2595 27016.30 5.5390 1 2 Chicago 2695.598 414 4.4309 11843.58 1.8310 The variables included in the study are: Name of city Population of city in 1,000s of people Number of homicides in the year 2013 Number of police officers per 1,000 people Number of people per square mile Median home price in $100,000 1 if city has a "Strong Mayor" form of government; 0 if not City Рор Homicides Police Density MedHome Мayor Model: log(u;) = Bo + B1Police; + B2MedHome; +…The National Football League (NFL) records a variety of performance data for individuals and teams. To investigate the importance of passing on the percentage of games won by a team, the following data show the average number of passing yards per attempt (Yds/Att) and the percentage of games won (WinPct) for a random sample of 10 NFL teams for the 2011 season (NFL website). Team Yds/Att WinPct 5.7 26 Arizona Cardinals Atlanta Falcons Carolina Panthers 7.6 67 7.3 52 6.9 51 Chicago Bears Dallas Cowboys 5.1 17 8.6 82 New England Patriots Philadelphia Eagles Seattle Seahawks 5.3 21 6.6 41 St. Louis Rams 6.5 41 Tampa Bay Buccaneers. 6.1 38 a. Choose the correct a scatter diagram with the number of passing yards per attempt on the horizontal axis and the percentage of games won on the vertical axis. B. A. WinPct WinPct 80 DD J F1 70- 60- 50+ -40- 30 20- F2 80 F3 000 000 F4 F5 80- -70 60- 50- 40- 30- 20- S F6 ● - F7 DII F8 F9 F10 () F11 <))) F12 A
- The level of cretaine phosphokinase (CPK) in blood samples measures the amount of muscle damage for athletes. At Jock State University, the level of CPK was determined for each of 25 football players and 15 soccer players before and after practice. The two groups of athletes are trained independently. The data summary is as follows : For football players: n=25 Before Practice After Practice Difference (Before-After) Mean 254.73 225.6 29.13 Standard deviation 115.5 132.6 21.00 For soccer players: n=15 Before Practice After Practice Difference (Before-After) Mean 177.1 173.8 3.3 Standard deviation 60.7 64.4 6.88 Assume that all the data above are normal, use the information above to answer problem (7) Construct a 95% Confidence Interval for the difference in mean CPK values for football players BEFORE and AFTER exercises.Brunt, Rhee, and Zhong (2008) surveyed 557 undergraduate college students to examine their weight status, health behaviors, and diet. Using body mass index (BMI), they classified the students into four categories: underweight, healthy weight, overweight, and obese. They also measured dietary variety by counting the number of different foods each student ate from several food groups. Note that the researchers are not measuring the amount of food eaten, but rather the number of different foods eaten (variety, not quantity). Nonetheless, it was somewhat surprising that the results showed no differences among the four weight categories that were related to eating fatty and/or sugary snacks.Suppose a researcher conducting a follow up study obtains a sample of n = 25 students classified as healthy weight and a sample of n = 36 students classified as overweight. Each student completes the food variety questionnaire, and the healthy-weight group produces a mean of µ = 4.01 for the fatty,…
