Find mean of sampling distribution of means of samples
A final exam in math 160 has a mean of 73 with a standard deviation of 7.8. 40 students are randomly selected and their scores are averaged:a. What is the mean of the sampling distribution of the means of samples of size 40?
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The manufacturer replaces free all motors that fail while under guarantee. If he is willing to replace only 3% of the motors that fail, how long a guarantee should he offer? Assume that the lifetime of a motor follows a normal distribution.
Suppose that the service life, in years, of a hearing aid battery is a random variable having a Weibull distribution with a = 1/2 and ß = 2.
Are the events picking a red car and picking an Ace disjoint? Why or why not? What is the probability of rolling an even number on a die with the number 1, 4, 6, 7, 8, and 12 on the sides?
Given a standard normal distribution, find the area under the curve which lies
A final exam in math 160 has a mean of 73 with a standard deviation of 7.8. What is the mean of the sampling distribution of the means of samples of size 40?
If 20% of the residents in a U.S. city prefer a white telephone over any other color available, what is the probability that among the next 1000 telephones installed in that city
In a certain city, the daily consumption of electric power, in millions of kilowatt-hours, is a random variable X having a gamma distribution with mean µ = 6 and variance a2 = 12.
We generally see a similar type of analysis performed in quality control operations, particularly in manufacturing. Can you think of any other examples?
In a biomedical research activity it was determined that the survival time, in weeks, of an animal when subjected to a certain exposure of gamma radiation has a gamma distribution with a =5 and 3 =10.
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