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1. The average salary for graduates entering the actuarial field is $40,000. If the salaries are normally distributed with a standard deviation of $5,000, find the probability that
a) An individual graduate will have a salary over $45,000.b) A group of nine graduates will have a group average over $45,000.
Find the probability using the Poisson distribution.
See if there is a difference in their means and variances.
A frequency distribution was developed. The lower endpoint of the first class is 9.30, and the midpoint is 9.35. what is the upper endpoint of this class?
Find the probability that out of our batch of 100, with the sampling technique listed above, that (i) both toothbrushes are defective, (ii) that one of the two is defective.
Students in the industrial statistics lab at ASU calculate a lot of confidence intervals on mu. Suppose all these CIs are independent of each other.
The data given below are taken from two independent samples collected randomly. What is the value of test statistics?
In a sample survey, 200 of 800 individuals enrolled in our managed-care organization indicated that they favored a proposal to extend office hours from 5:00 to 8:00 p.m. Construct a 95% confidence interval for the corresponding true proportion.
The Wilcoxon signed rank statistic, The mean for the Wilcoxon signed rank test and The P-value for the Wilcoxon signed rank test
The thickness of metal plates made by a particular machine are normally distributed with mean of 4.3 mm and standard deviation of .0.12 mm. What is the value of c for which there is 80% probability that a metal plate has a thickness with in the in..
Suppose a well-known baseball player states that, at this stage of his career, he is a "300 hitter" or better. That is, he claims that he gets a hit in at least 30% of his at-bats. Over the next month of the baseball season, this player has 105 at..
A chemical process converts lead to gold. However, the production varies due to the powers of the alchemist. It is known that the process is normally distributed, with a standard deviation of 2.5 g. How many samples must be taken to be 90% certain..
A production line operates with a mean filling weight of 500 grams per container. Over filling or under filling presents a serious problem and when detected requires the operator to shut down the production line to readjust the filling mechanism.
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