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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.
A company that produces an expensive stereo component is considering offering a warranty on the component. Suppose the population of lifetimes of the components is a normal distribution with mean of 84 months and standard deviation of 10 months.
Marconi Shipping Company packages their shipments in 50 ton containers. History has shown that the shipping department reports that the distribution of container weights follows the normal distribution
Analysis of weekly widget production reveals that the number of widgets X produced in a week is a random variable with mean μX = 200 and standard deviation σX = 20. What are the mean and the standard deviation of C?
Plot a scatter diagram and what kind of relationship exists between these two variables
True or False? Bivariate correlation coefficient always has same sign as b 1 in Y = b 0 + b 1 X.
In a few sentences, describe two designs that can address your research question. The designs must involve two different statistical analyses.
A data source generates hexadecimal characters. Let X be the integer value corresponding to a hex character. Suppose that the four binary digits in the character are independent and each is equally likely to be 0 or 1.
Sampling variability refers to the idea that different samples will include different individuals
What is the relationship between pretest scores and final exam scores after controlling for cumulative GPA? He also wants to know about the relationship between pretest scores and final exam scores.
A mean of 20 minutes and a standard deviation of 3 minutes. how long does it take the slowest 10% of the students to walk from the dorms to the chemistry lab.
Create a graph with the trendline displayed for each of the three different regressions. What are the least squares regression line equations for each of the three different regressions?
Suppose {a_n} (n=1 to N) and {b_n} (n=1 to N) are two finite sequences of complex numbers. Let B_k = sum b_n (sum n=1 to k) denote the partial sum of the series sum (b_n) with the convention B_0=0.
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