Question

Government data indicates that the mean hourly wage for manufacturing jobs in the US is $18.50. Suppose the distribution of the manufacturing wage rates nationwide can be approximated by a normal distribution with standard deviation of $1.25 per hour. the first manufacturing firm contacted by a particular worker seeking a new job pays $19.80 per hour.

A. If the worker were to undertake a nationwide job search, approx what proportion of the wage rates would be greater than $19.80?

B. If the worker were to randomly select a US manufacturer firm, what is the probability the firm would Pau more than $19.80?

C. The population median suppose n of a continuous random variable x is the value such that P(x greater than or equal to n)= P(x Less than or equal to n)= . 5- that is, the median is the value n such that half of the area under the probability distribution lies above n and half lies below it. find the median of the random variable corresponding to the wage rate and compare it to the mean wage rate.

Answer #1

Multiple Choice
Select the best answer from the available choices for each
question.
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S can be discrete or continuous
Each outcome must be in S at most once
Each element in S is equally likely
Each outcome must be in S at least once
S is a set of possible outcomes in an experiment
Three A’s, three B’s, and two C’s are arranged at
random...

1.The sample mean is an unbiased estimator for
the population mean. This means:
The sample mean always equals the population mean.
The average sample mean, over all possible samples, equals the
population mean.
The sample mean will only vary a little from the population
mean.
The sample mean has a normal distribution.
2.Which of the following statements is
CORRECTabout the sampling distribution of the
sample mean:
The standard error of the sample mean will decrease as the
sample size increases....

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b.
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mutually
exclusive b. the sum of their probabilities must be equal to one
c.
their intersection must be zero d. None of these alternatives
is
correct. any value between 0 to 1
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