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Question: Do our athletes graduate? Is the result of Exercise statistically significant at the 10% level? At the 5% level?
Exercise: Do our athletes graduate? The National Collegiate Athletic Association (NCAA) requires colleges to report the graduation rates of their athletes. At one large university, 71% of all students who entered in 2000 graduated within six years. Seventy-three of the 117 students who entered with athletic scholarships graduated. Consider these 117 as a sample of all athletes who will be admitted under present policies. Is there evidence that the percentage of athletes who graduate is less than 71%?
(a) Explain in words what the parameter p is in this setting.
(b) What are the null and alternative hypotheses H0 and Ha?
(c) What is the numerical value of the sample proportion p^? Of what event is the P-value the probability?
(d) The P-value is P = 0.027. Explain why this says there is some reason to think that graduation rates are lower among athletes than among all students.
And a standard deviation of 10 inches. What is the probability that the mean annual precipitation during 25 randomly Picked years will be less than 109.8 inches?
Verify that the number of groups is J = 4, the total number of observations is N = 12 and that with α = .025 the critical value is 5.42.
Suppose you have drawn a simple random sample of 400 business executives. In this sample, 150 executives owned Blackberries.
Based on the Nielsen ratings, the local CBS affiliate claims its 11 p.m. newscast reaches 41% of the viewing audience in the area. In a survey of 100 viewers, 36% indicated that they watch the late evening news on this local CBS station. What is t..
The standard deviation was $21,330. At the .01 significance level, can we conclude that there is more variation in the selling prices of the oceanfront homes?
firms often face the problem of allocating an input in fixed supply among different products.find the optimal crude oil
At the .05 significance level, can we conclude that the guideline is still reasonable?
The annual rates of growth of output of a factory in 5 years are 5.0, 7.5, 2.5, 5.0, and 10.0 respectively. What is the compound rate of growth of output per annum for the period?
A menu offers a choice of 3 salads, 8 main dishes, and 5 desserts. How many different meals consisting of one salad, one main dish, and one dessert are possible?
Using these data, construct a 99% confidence interval to estimate the average number of days and excavator is rented to a client, and assume the number of days per rental is normally distributed in the population.
What is the probability that two randomly selected foreign-born people in the United States in 1997 were both naturalized citizens?
What are Cp and Cpk with the original specifications? Compare the values with those from part (a) of the previous exercise.- What are Cp and Cpk with the tightened specifications? Again compare with the previous results.
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