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An electrical firm manufactures electric light bulbs that have a length of life which is normally distributed with mean and standard deviation equal to 500 and 50 hours, respectively. Find the probability that a random sample of 15 bulbs will have an average life of less than 475 hours.
College Athletics: Graduation Rate. Women Athletes at the University of Colorado Boulder have a long term graduation rate of 67%. Over the past several years, a random sample of 38 women athletes at the school showed that 21 eventually graduated.
What is the difference between resampling (bootstrapping) and double sampling in research? Is there any difference or is the same? Please explain your response?
If we repeated this procedure many, many times, only 5 percent of the 95 percent confidence intervals would fail to include the mean Math SAT score of the population of all students at this college.
The sum of two numbers is less then 27. The second number is 7 less then the first. What are the possible values for the first and second number
Gerald takes the ACT mathematics test and scores 23. ACT math scores are Normally distributed with mean 22.4 and standard deviation 4.2. Find the standardized scores for both students.
The diameters of bolts produced by a certain machine are normally distributed with a mean of 0.30 inches and a standard deviation of 0.01 inches. What percentage of bolts will have a diameter greater than 0.32 inches?
A large university says the mean number of classroom hours per week for full-time faculty is more than 9. A random sample of the number of classroom hours for full-time faculty for one week is listed. At 945; = 0.05 , test the university's claim.
The standard deviations s1 and s2 can be used when Ó1 and Ó2 are unknown and you believe that the underlying distribution is normal. Then, you would use s1 and s2 with the t-test for hypothesis testing.
Discuss an example where you would use a test of hypothesis for in your professional life, personal life, education or politics. Provide sufficient details so that the context is clear and also discuss if the example involves:
Shank's, Inc., a nationwide advertising firm, wants to know whether the size of an advertisement and the color of the advertisement make a difference in the response of magazine readers.
A random sample of 13 four-cylinder cars is obtained and the breaking distances are measured and found to have a mean of 137.5 ft and a standard deviation of 5.8 ft.
Create risk profiles for medium and large alternatives. Given mayors concern over possibility of losing money and result of part (a), which alternative would you suggest?
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