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Question: The U.S. Bureau of Economic Statistics reports that the average annual salary in the metropolitan Boston area is $50,542. Suppose annual salaries in the metropolitan Boston area are normally distributed with a standard deviation of $4,246. A Boston worker is randomly selected.
a. What is the probability that the worker's annual salary is more than $60,000?
b. What is the probability that the worker's annual salary is less than $45,000?
c. What is the probability that the worker's annual salary is more than $40,000?
d. What is the probability that the worker's annual salary is between $44,000 and $52,000?
A certain electronics company produces a particular type of vacuum tube. It has been observed that, on the average, three tubes of 100 are defective. The company packs the tubes in boxes of 400. What is the probability that a certain box of 400 tu..
a box contains six tickets. two of the tickets are worth 5 each and the other four are worth 1 each.a if one ticket is
Construct a frequency distribution of the sample mean, and plot a histogram of this distribution. Use the central limit theorem to calculate and identify the sampling distribution of the sample mean.
Suppose that the proportion of nonconforming product is 3% and we want to detect an out-of-control condition with a probability of 0.95. Find the acceptance control chart limits.
Sketch a standard Normal curve and mark this value of z on it. Find the P-value and shade the appropriate areas under the curve to illustrate your calculations.
Find a 95% confidence interval for the true proportion of au pairs in Canada that come from North America.- Is there any evidence to suggest that the two true proportions are different? Justify your answer.
Based on the scatter diagram, does there appear to be any relationship between the number of assemblers and production? Explain.
What are the null and alternative hypothesis? What is the decision rule or at what value would you reject H0? What is the calculated test statistic?
a warehouse distributor of carpet keeps 6000 yards of deluxe shag carpet in stock during a month. the average demand
construct a 96 confidence interval for the true mean breaking strength of a certain type of 10 ft. long cables. assume
Three families, each with three members, are lined up at random for a picture. What is the probability that members of each family happen to be together (that is, not separated by someone from another family) in the picture?
Let X and Y be two random variables with moment generating functions MX (t) and MY(t), respectively. If MX(t) for all values of t, then X and Y have the same probability distribution.
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