Chapter 8: Q73E (page 500)
Use Tables V, VI, VII, and VIII in Appendix D to find each of the following F-values
- \({F_{.05}}\;where\;{v_1} = 9\;and\,{v_2} = 6\)
Short Answer
- The F-value is 4.10.
Chapter 8: Q73E (page 500)
Use Tables V, VI, VII, and VIII in Appendix D to find each of the following F-values
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Get started for freeWorking on summer vacation. According to a Harris Interactive (July 2013) poll of U.S. adults, about 60% work during their summer vacation. (See Exercise 3.13, p. 169.) Assume that the true proportion of all U.S. adults who work during summer vacation is p = .6. Now consider a random sample of 500 U.S. adults.
a. What is the probability that between 55% and 65% of the sampled adults work during summer vacation?
b. What is the probability that over 75% of the sampled adults work during summer vacation?
Optimal goal target in soccer. When attempting to score a goal in soccer, where should you aim your shot? Should you aim for a goalpost (as some soccer coaches teach), the middle of the goal, or some other target? To answer these questions, Chance (Fall 2009) utilized the normal probability distribution. Suppose the accuracy x of a professional soccer playerโs shots follows a normal distribution with a mean of 0 feet and a standard deviation of 3 feet. (For example, if the player hits his target,x=0; if he misses his target 2 feet to the right, x=2; and if he misses 1 foot to the left,x=-1.) Now, a regulation soccer goal is 24 feet wide. Assume that a goalkeeper will stop (save) all shots within 9 feet of where he is standing; all other shots on goal will score. Consider a goalkeeper who stands in the middle of the goal.
a. If the player aims for the right goalpost, what is the probability that he will score?
b. If the player aims for the center of the goal, what is the probability that he will score?
c. If the player aims for halfway between the right goal post and the outer limit of the goalkeeperโs reach, what is the probability that he will score?
Assume that . Calculate the pooled estimator for each of the following cases:
a.
b.
c.
d.
Note that the pooled estimate is a weighted average of the sample variances. To which of the variances does the pooled estimate fall nearer in each of the above cases?
Let t0 be a particular value of t. Use Table III in Appendix D to find t0 values such that the following statements are true.
Given the following values of , , and , form a 90% confidence interval for
a.
b.
c.
d.
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