The manager of a fleet of automobiles is testing two brands of radial tires and assigns one tire of each brand at random to the two rear wheels of eight cars and runs the cars until the tires wear out. The data (in kilometers) follow. CAR BRAND1 BRAND2 DIFFERENCE = (BRAND1 - BF 1 36,925 33,018 3,907 2 45,300 43,280 2,020 3 36,240 35,500 740 4 32,100 31,200 900 5 37,210 37,015 195 6 48,360 46,800 1,560 7 38,200 37,810 390 8 33,500 33,215 285

Diabetes and obesity are serious health concerns in the United States and much of the developed world. Measuring the amount of body fat a person carries is one way to monitor weight control progress, but measuring it accurately involves either expensive X-ray equipment or a pool in which to dunk the subject. Instead body mass index (BMI) is often used as a proxy for body fat because it is easy to measure: BMI = mass(kg)/(height(m))² = 703 mass(lb)/(height(in))². In a study of 15 men at TXST, both BMI and body fat were measured. Researchers imported the data into statistical software for analysis. A few values are missing from the output. Complete the table by filling in the missing values. Model Summary S R-sq % (three decimal places) (two decimal places. e.g. 12.3456%, enter 12.35) Analysis of Variance Source Model Error Total DF SS MS F P 17.600 0.001 DF: whole numbers SS or MS; three decimal places 34.810 Does a simple linear regression model seem reasonable in this situation?…

The use of electromyostimulation (EMS) as a method to train healthy skeletal muscle is studied. EMS sessions consisted of 30 contractions (4-second duration, 85 Hz) and were carried out three times per week for three weeks on 17 ice hockey players. The 10-meter skating performance test showed a standard deviation of 0.90 seconds. Is there strong evidence to conclude that the standard deviation of performance time exceeds the historical value of 0.75 seconds? Use a = 0.05.

One-Sample Z Test Test of М = 45 vs not === 45 The assumed standard deviation = 2.8 VARIABLE N MEAN STDEV SE MEAN X Instructions: 46.377 2.500 0.626 95% CI (,) Fill in the missing values. N: Round the answer to the nearest whole number. Cl: Round to three decimal places. Z: Round to two decimal places. P: Round to three decimal places.

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Based on the software output, write the fitted simple linear regression equation. Coefficients Term Coef SE Coef T-Value P-Value Constant 3.20 1.92 1.67 0.237 [Select] y= 0.600 0.566 1.06 0.400 +[Select] x Does a simple linear regression model seem reasonable in this situation? [Select]

30.4. Suppose that f(2) has a pole of order m at zo. Show that f'(z) has a pole of order m + 1 at zo-

A drink filling machine, when in perfect adjustment, fills the bottles with 8 ounces of drink on an average. Any overfilling or underfilling results in the shutdown and readjustment of the machine. A sample of 20 bottles is selected, and the sample shows an average filling volume of 7.5 ounces. To determine whether the machine is properly adjusted, the correct set of hypotheses Ho: [Select] [Select] H₁: [Select] [Select] > [Select] [Select]

Information on a packet of seeds claims that 93% of them will germinate. Of the 200 seeds that were planted, only 180 germinated. 95% confidence interval for the true proportion of seeds that germinate based on this sample is (85.8%, 94.2%). Do the data provide evidence against the claim? [Select] The margin of error in the estimate is: [Select] > To keep the margin of error within 3.5% with at least 95% confidence level, the required sample size is: [Select]