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An engineering firm is evaluating their back charges. They claim that their average back charge is $1800. They randomly select 40 customers, and calculate the sample mean back charge to be $1925. If the standard deviation of back charges is $600, and alpha = 0.05, test the claim of the engineering firm. Perform an appropriate hypothesis test, showing the necessary calculations and/or explaining the process used to obtain the results.
In a random sample of 16 mountain climbers who are going to attempt Mt. McKinley, what is the probability of each of the following? No more than 12 reach the summit.
Suppose prior elections in Louisiana indicated it is necessary for a candidate for governor to receive at least 80 percent of the vote in the northern part of the state to be elected.
Determine a 95 percent confidence interval for the population mean.
A shop manual gives 6.5 hours as the average time required to perform a 30,000 mile major maintenance service on a Porsche 911. Last month a mechanic performed 11 such services, and his required times were as follows.
Construct a 90 percent confidence interval for the proportion of all kernels that would not pop.
The president of Crooked Arrow National Bank wants to determine whether more than 60% of the banks loans are made to persons residing in Crooked Arrow.
Marie claims she can predict the sex of pregnant women's babies for first-time new mothers. She sees 1000 women a year, and she always predicts a female. She charges $1000 for a prediction
Ball bearings are manufactured with a diameter of 5 mm. But the process has variation, so the diameter is normally distributed with a mean of 5 mm and a standard deviation of .02 mm. A) What proportion of ball bearings are more than 5.03 mm?
Discuss the concept of statistical significance, including your understanding of what it means, why it is important, and how it can be used.
A bank manager has developed a new system to reduce the time customers spend waiting for teller service during peak hours. The manager hopes that the new system will reduce waiting times from the current 9 to 10 minutes to less than 6 minutes.
There are infinitely many primes of the form n^2 - 1. Please list at least 4 of these primes. (I hope it is just as easy as I think, but is there any work to this?)
What is the probability that the average time spent per customer will be at least 3 minutes?
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