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For 1989 and 1990 Dave Johnson had the highest decathlon score in the world. When Johnson reached a speed of 32 ft/sec on the pole vault runway, his height above the ground t seconds after leaving the ground was given by h= -16t^2+32t. (The elasticity of the pole converts he horizontal speed into vertical speed.) Find the value of t for which his height was 12 ft. Determine how long Johnson was in the air. For how long was he more than 14ft in the air?
Steps in hypothesis test procedure - conducting a hypothesis test for some general statistic, ? say.
Do these data suggest a statistically significance difference between the proportions of drug-resistant cases in the two states? Use a 0.02 level of significance and computed value of 2.37.
Using convolution, determine the pdf of a continuous random variable Z where Z = X + Y. Here, X has a uniform distribution on [0, 3] and Y is a constant of value 2. Assume that X and Y are independent.
Find the probability that the mean aptitude test score for a randomly selected group of 150 8th graders is between 98 and 102.
Over the last year the absentee rate at a large corporation averaged 8.2 days absent with a standard deviation of 6 days. One department with 40 employees had an absentee rate of 12 days per employee.
Does the data prove a significant difference in mean times?
Experience has shown a company that the cost of delivering a small package within 24 hours is $14.80. The company charges $15.50 for shipment but guarantees to refund the charge if delivery is not made within 24 hours.
Which confidence interval has the most variability?
Evaluate the data below using the Kruskal - Wallis Nonparametric Hypothesis Test. Explain why you chose this particular nonparametric test to analyze your data.
An investment project is expected to earn $100,000 on average with a standard deviation of $50,000. Assume earnings from this investment project is a normal distribution. Of the next 15 people that invest in this project, what is the probability t..
On the same chart, produce a graph showing the original probability mass function, and a line graph showing your selected continuous probability density function.
Construct a 95% confidence interval estimate of the difference in kilometers per liter. Do the results of parts (a) and (b) agree? Explain why or why not.
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