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1. A researcher wishes to compare the effect of two stepping heights (low and high) on heartrate in a step-aerobics workout. A collection of 50 adult volunteers was randomly divided into two groups of 25 subjects each. Group 1 did a standard step-aerobics workout at the low height. The mean heartrate at the end of the workout group 1 was 1 = 90.00 beats per minute with a standard deviation s1 = 9 beats per minute. Group 2 did the same workout but at the high step height. The mean heart-rate at the end of the workout for the subjects in group 2 was 2 = 95.08 beats per minute with a standard deviation s2 = 12 beats per minute. Assume the two groups are independent and the data are approximately Normal. Let µ1 and µ2 represent the mean heart rates we would observe for the entire population if all members of this population did the workout using the low or high step height, respectively. Suppose the researcher had wished to test the hypotheses H0: µ1 = µ2, H a: µ1 < µ2. The P-value for the test is (use the conservative value for the degrees of freedom)
A. larger than 0.10.B. between 0.10 and 0.05.C. between 0.05 and 0.01.
2. A sportswriter wishes to see if a football filled with helium travels farther, on average, than a football filled with air. To test this theory, the writer uses 18 adult male subjects, randomly divided into two groups of 9 subjects each. Group 1 kicked a football filled with helium to the recommended pressure. Group 2 kicked a football filled with air to the recommended pressure. The mean yardage for group 1 was 1 = 30 yards, with a standard deviation s1 = 8 yards. The mean yardage for group 2 was 2 = 26 yards, with a standard deviation s2 = 6 yards. Assume the two groups of kicks are independent. Let µ1 and µ2 represent the mean yardage observed for the entire population if all members of the population kicked, respectively, a helium- and air-filled football. Assuming two-sample t procedures are safe to use, a 90% confidence interval for µ1 - µ2 is (use the conservative value for the degrees of freedom)
A. 4 ± 5.5 yards.B. 4 ± 6.2 yards.C. 4 ± 7.7 yards.
State the values of the coefficient of correlation and coefficient of determination correct to three decimal places
For all questions, clearly explain/show your answers. For the Analysis section, justify your answers with the appropriate graphs, statistics, equations, etc.
Answer all of these questions using R Commander. Include all graphs, outputs from R Commander.
Evaluate the difference in the mean ratings and find the standard deviation of the difference in the ratings, what is the chance both children are boys?
Solve the equations using linear algebra
Probability distribution described by the following density curve and The expected value of the sum of the weights of the two oranges, in pounds
A study sponsored by American Express Co. and the French government tourist office found that old American stereotypes about French unfriendliness weren't true.
Compute descriptive statistics for each stock and the S&P 500. Comment on your results. Which stocks are the most volatile? Compute the value of beta for each stock. Which of these stocks would you expect to perform best in an up market? Which..
Which of the following would produce a new confidence interval with smaller width based on these same data and produce a new confidence interval
A busy landscaping supplies company sells wood chips for garden mulch. The mulch is sold by the cubic metre and delivered to households in a small truck.
A simple random sample of 1000 Americans found that 61% were satisfied with the service provided by the dealer from which they bought their car.
MATH1550H: Assignment:Questions: (Genetics) What is the probability that at most two of the offspring are aa?
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