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1. In the 2000 football season, 247 plays were reviewed by officials using instant video replays, and 83 of them resulted in reversal of the original call. In the 2001 football season, 258 plays were reviewed and 89 of them were reversed. Test the claim that the proportion of plays reversed is different for the 2000 and 2001 seasons.
a) State the null and alternative Hypotheses (H0 and H1).
b) Calculate the test statistic. 11 or 6
c) What is the critical value for ?
d) State your conclusion (reject H0 or fail to reject H0 )and explain your reasoning. Fail to reject H0
e) Is there a .05 significant difference in the two reversal rates? yes
Two t-curves have degrees of freedom 12 and 20, respectively. Which one more closely resembles the standard normal curve? Explain your answer.
The current advertising campaign for a major automobile brand would be changed if fewer than 70 percent of the consumers like it.
Based on a study of heights of men and women who do gymnastics, a researcher concludes that the exercise from playing gymnastics causes people to become shorter. Do you agree with this conclusion?
A statistician is interested in determining whether food preferences depend on the country. The data is presented below. What is the correct statistical test for analyzing the data?
The sample yielded a mean content of 11.88 ounces, with a standard deviation of 0.24 ounces. Use a 0.05 level of significance and test to see if the machine is in perfect adjustment (perform all six steps of hypothesis testing, including p-values)..
Through the week ending September 16,2011, tiger woods was the leading money winner on the PGA tour with total earnings of $5,517,777. Of the top 10 money winners, 7 players used a title it's brand golf ball. Suppose that we randomly select 2 of t..
The owner of Britten's Egg Farm wants to estimate the mean number of eggs laid per chicken. A sample of 20 chickens shows they laid an average of 22 eggs per month with a standard deviation of 2.03 eggs per month.
You are responsible for planning the parking needed for a new 256-unit apartment complex, and you're told to base the needs on the statistic "average number of vehicles per household is 1.7."
Assume that we will randomly select a sample of 64 measurements from a population having a mean equal to 20 and a standard deviation equal to 4.
The weekly output of a steel mill is a uniformly distributed random variable that lies between 110 and 175 metric tons. Compute the probability that the steel mill will produce more than 150 metric tons next week.
Why do you use the chi-square statistic? Explain. What type of data is used with chi square analysis? Explain. What are the hypotheses in a chi-square test for independence? Explain.
Compute the relative dispersion of each group using the coefficient of variation. Comment on the difference in relative dispersion.
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