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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)
The bearings of two points on the shore from a boat are 115 degrees and 123 degrees. Assume the two points are 855 feet apart. How far is the boat from the nearest point on shore if the shore is straight and runs north-south?
One angle of a right triangle is 3 times the size of the other one. Remember that a right triangle has a 90 degree angle. Find the other two angles.
An air ambulance is travelling from Barrie to Toronto. Toronto is located 90 km [S5°E] of Barrie. If the wind is blowing from the South with a velocity of 62 km/h, and the plane's air speed is 375 km/h, what direction must the pilot fly to make it..
Probability and computing the odds. Compute the odds of each of the following events and rank them in order of decreasing likelihood.
Construct a frequency distribution.
write a dialogue involving at least 10-15 interchanges about the equality to which we are entitled and the inequalities
a cable bangs between iwo poles of equal hoolt and 22feet apart. set up a coordinate systern where the poles are placed
suppose you are an event coordinator for a large performance theater. one of the hottest new broadway musicals has
Maria and Thomas are part of a group of 8 women and 8 men who will participate in a chess tournament. The 16 players will be randomly paired up into groups of two.
The vertical motion of a mass attached to a spring is described by the initial value problem (1/4)x"+x'+x=0, x(0)=4, x'(0)=2. Determine the maximum vertical displacement of the mass.
how to find the sum of each series?
What is the vertex of a parabola? How do you determine the vertex of the parabola? Demonstrate with an example.
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