Suppose that college faculty with the rank of professor at, Ask an Expert

Statistics

Suppose that college faculty with the rank of professor at tow-year institutions earn an average of $64,571 per year with a standard deviation of $4,000. In an attempt to verify this salary level, a random sample of 60 professors was selected from a personnel database for all two-year institutions in the US.

a. Describe the sampling distribution of the sample mean.

b. Within what limits would you expect the sample average to lie, with probability .95?

c. Calculate the probability that the sample mean is greater than $66,000

d. If your random sample actually produced a sample mean of $66,000, would you consider this unusual? What conclusion might you draw?

View complete question

Statistics and Probability, Statistics

Category:- Statistics and Probability
Reference No.:- M9990616

Have any Question?Write your Review or question?

Related Questions in Statistics and Probability

1 a chemical supply company ships a certain solvent in

1. A chemical supply company ships a certain solvent in 10-gallon drums. Let X represent the number of drums ordered by a randomly chosen customer. Assume X has the following probability mass function (pmf). The mean and ...

Stocks a b and c have expected returns of 12 percent 12

Stocks A, B, and C have expected returns of 12 percent, 12 percent, and 10 percent, respectively, while their standard deviations are 42 percent, 30 percent, and 30 percent, respectively. If you were considering the purc ...

Approximately once a month cars are shipped from rotterdam

Approximately once a month cars are shipped from Rotterdam, Holland to Lagos, Nigeria. The past data collection indicates that the weight of a car is normally distributed with the mean of 1,070 kg and the standard devia ...

Letnbspnmnbspv denote the normal random variable with

Let N ( m , v ) denote the normal random variable with mean m and variance v . (a) If X is a Standard Normal variable, what is the distribution of the random variable 4 X - 1? (b) If X ~ N (3,1) and Y ~ ...

1 according to the latest poll 750 adult respondents

1. According to the latest poll, 750 adult respondents believe in global warming. Construct a 95% confidence interval estimate of the proportion of adults who believe in global warming. Round your lower bound and upper b ...

A researcher is planning to a silvicultural study using 3

A researcher is planning to a silvicultural study using 3 different fertilizers on 3 adjacent plots. How many ways can the 3 plots be arranged if there are 18 fertilizers to choose from?

The national safety council reported that 52 of american

The National safety council reported that 52% of American turnpike drivers are men. A sample of 300 cars traveling southbound on the New Jersey Turnpike yesterday revealed that 170 were driven by men. At a 99% level of c ...

In 2013 gallup conducted a poll and found a 95 confidence

In 2013, Gallup conducted a poll and found a 95% confidence interval of the proportion of Americans who believe it is the government's responsibility for health care. Give the statistical interpretation.

A forest district has 2 helicopters available for fighting

A forest district has 2 helicopters available for fighting forest fires. Given the following information, what is the probability that no helicopters are available in the event of a fire? P (helicopter 1 functions) = 0.9 ...

If you know your raw score is 35 your z score is -3 and

If you know your raw score is 35, your z score is -3, and your t score is 20. The mean is 50 and the standard deviation is 5. How would you use this information to solve for a percentile rank?

4,153,160 Questions Asked
13,132 Experts
2,558,936 Questions Answered

Ask Experts for help!!

Looking for Assignment Help?

Start excelling in your Courses, Get help with Assignment

Write us your full requirement for evaluation and you will receive response within 20 minutes turnaround time.

Ask Now Help with Problems, Get a Best Answer

Recent Questions

Ask Statistics and Probability Expert