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A company manufactures automobile transmissions. It has been determined that the lifetime (time until failure) of this transmission is normally distributed with an average of 78,000 miles and a standard deviation of 15,000 miles. What percentage of these transmissions will last at least 90,000 miles?
People in a large population average 60 inches tall. You take a random sample and will be given a dollar for each person in your sample who is over 65 inches tall.
A machine has three components working independently. The probability that Component A fails is 0.1, the probability that component B fails is 0.2, and the probability that component C fails is 0.3.
What should the cut-off score be for the interviews? (Round to nearest whole number).
An automotive expert claims that the large number of self-serve gasoline stations has resulted in poor automobile maintenance, and that the average tire pressure is more than 4 pounds per square inch (psi) below its manufacturer's specification.
Compute the value of z and state your decision regarding the null hypothesis.
The χ 2 statistic from a contingency table with 6 rows and five columns will have:
Based on the information in part (a), what decision should the director make about the books used for the courses if the goal is to keep the cost below $300?
If the class does well on an exam, then the next exam is equally likely to be any of the three types. If the class does badly, then the next exam is always type 1. What proportion of exams are type 1, 2, and 3?
For a random sample of 50 batteries, what is the probability that the sample mean will be less than 27.5 hours?
A researcher claims that the average age of people who buy lottery tickets is 70. A sample of 30 is selected and their ages are recorded as shown below. The standard deviation is 16. At alpha = 0.05 is there enough evidence to reject the researche..
Use Excel and determine the number of each type of person that will be needed to complete the job within the allotted time and at minimum cost.
A nationwide test taken by high school sophomores and juniors has three sections, each scored on a scale of 20 to 80. In a recent year, the national mean score for the writing section was 47.2 , with a standard deviation of 10.2.
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