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A local tennis pro-shop strings tennis rackets at the tension (pounds per square inch) requested by the customer. Recently a customer made a claim that the pro-shop consistently strings rackets at lower tensions, on average, than requested. To support this claim, the customer asked the pro shop to string 10 new rackets at 55 psi. Upon receiving the rackets, the customer measured the tension of each and calculated the following summary statistics: sample mean=54 psi, s=3psi.
A) Set up the null and alternative hypotheses for testing these claims.
B) In order to conduct the test, the customer selected a significance level of alpha=.05. Interpret this value. (I.e. what does it mean to conduct the test at a level of alpha=.05)
C) Suppose the two-tailed p-value for the test described above (obtained from a computer printout) is p = .09. Give the proper conclusion for the test. Use alpha = .05.
D) What assumptions about the distribution of racket tensions are necessary for the Inferences derived from the test to be valid?
In a test of the MicroSort method of gender selection, 51 babies are born to couples trying to have baby boys, and 39 of those babies are boys (based on data from the Genetics & IVF Institute).
The Ludlow Wildcats baseball team, a minor league team in the Cleveland Indians orgainzation, plays 70 precent of their games at night and 30 percent during the day.
What are the expected value and variance of the following probability distribution?
One of these has a history of selling an average of 200 items, with a standard deviation of 20. If he wants to maximize his profits, how many should he order?
How do question content and wording, response strategy, and preliminary analysis planning affect question construction?
If you are told a population has a mean of 25 and a variance of 0, what must you conclude? a) Someone has made a mistake. b) There is only one element in the population.
A person claims to have ESP (extrasensory perception). A coin is tossed 16 times, and each time the person is asked to predict in advance whether the coin will land heads or tails.
A committe studying employer-employee relations proposed that a rating system be adopted. Each employee would rate his or her inmediate supervisor and in turn the supervisor would rate each employee.
While exploring data that was collected for an investigation of resources needed for software testing and improvement, you have found an outlier.
Given the following number of hours between breakdowns for 4 machines, are the machines significantly different? If so, how are they different? Which machine is the best?
If we assume that the lifetime of this type of bulb has a standard deviation of 400 hours, can we conclude at the 5% significance level that the claim is true.
Find out the mean for your 3 numbers. They signify your neighborhood's news-viewing habits. Mean is number of news programs viewed in neighborhood each week.
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