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A scientist does not believe that the pH of water in a river is 7. She wants to test the null hypothesis that the true level of ph in the water is 7 at the .05 significance level. Her alternative hypothesis is that the water does not have a pH of 7. For which p-value will she fail to reject the null hypothesis?
Of the registered voters contacted, 33% are registered Democrats. Is each of the boldface numbers a parameter or a statistic?
A sample of 500 respondents in a large metropolitan area was selected to study consumer behavior. Among the questions asked was "do you enjoy shopping for clothing?" Of 240 males, 136 answered yes.
A random variable Y is uniformly distributed over a range of 0 to 2*pi. Another random variable X is related to Y by X=cos(Y).
In each of the following cases, decide whether or not a binomial distribution is an appropriate model, and give your reasons.
The credit score of a 35 year old applying for a mortgage at Ulysses Mortgage Associates is normally distributed with a mean of 600 and a standard deviation of 100.
A faculty group wants to determine whether job rating (x) is a useful linear predictor of raise (y). Consequently, the group considered the linear regression model:
Based upon all of this information, do a "goodness-of-fit" test to see if the distributions are the same as they were two years ago. Use a level of confidence of .01. Should we accept Ho or reject Ho?
Class finds 54% of 450 randomly selected voters are in support. Both groups will create 95% confidence intervals. Which group concludes that the outcome is too close to call? Why?
A defective picture tube was discovered in the latest shipment. What is the probability that it came from Tyson Wholesale?
Surface area of a cube. The formula A = 6V^-2/3(-2/3 power) gives the surface area of a cube in the volume V. What is the volume of a cube with a surface area 12 square feet?
One environmental group did a study of recycling habits in a California community. It found that 73% of the aluminum cans sold in the area were recycled. (Round your answers to four decimal places.)
Is sample of 25 papers large adequate to give a good estimate of mean score of all 42,000 students on this exam problem? Explain your answer.
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