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(1) Elevated levels of plasma HDL cholesterol may be associated with lowered risk of coronary heart disease. Several studies have suggested that vigorous exercise may result in increased levels of HDL cholesterol. To investigate this theory, researchers measured HDL concentrations (mg/dL) in middle-aged (35-66 years) marathon runners, as well as inactive men. The data are summarized below. (Assume equal population variances in the two groups.) sample size mean variance Inactive men 70 43.3 201.64 Marathon runners 70 52.8 204.49 Given: pooled sample variance = 203.065 (i) Calculate the 90% confidence interval for the difference in mean HDL cholesterol among inactive men and marathon runners in this age group. Interpret your interval. (2 points) (ii) State two ways in which the confidence interval in (i) could be made narrower. (1 point) (iii) Based on your interval in (i), can you conclude that there is a significant difference in mean HDL cholesterol among inactive men and marathon runners in this age group? State your conclusion, along with a reason for your decision. (2 points) (iv) Conduct a hypothesis test to see if inactive men have significantly lower mean HDL cholesterol levels in this age group. Use α=0.05. Write your hypotheses, calculate the test statistic and p-value, and state your conclusion. (4 points) (v) Suppose you obtain the histograms for HDL cholesterol levels in each group, and you find that the distribution in the marathon runners group is strongly left skewed, while the distribution for the inactive men is symmetric. Discuss how you would proceed. (1 point)
A linear regression model has a slope of -2.5 and an intercept of 10. The sample coefficient of determination is 0.50. What is the value of the sample correlation coefficient?
Review Chi Square analysis & create an example of how you would use the tool to help make a business decision.
consider the labeled points on the real line -21-1-10121. the second coordinate is the y-label. consider the family of
A polygon has an area of 100 square inches and one of its sides is 13 inches long. If a second similar polygon has an area of 36 square inches, what is the length of the corresponding side in the second polygon?
of the girl scout cookies which represented 4% of the troops sale. how amny boxes did the troop sell.
For each point in the table below, decide whether it is on Line 1, Line 2, both, or neither.
Kent worked in the housewares section of a department store. This year he set a record high for vacuum sales with 567 vacuums sold. The previous high was last year, when 540 vacuums were sold. What is the percent of increase in sales from last yea..
Find the second derivative
a submarine cruising at 25 meters below sea level. express the depth of the depth of the submarine as an integer.
What is the probability that the first individual to whom measure is given is not truly depressed if not diagnosed as depressed.
Compare the mean of the sample means with the population mean.
The equation y = 1.13x + 7.85 represents the average monthly cost in dollars for cable television where x represents the number of years after 1980. Use this equation to answer the following questions.
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