A large corporation employs 27,251 individuals. The average income in 2008 forall employees was $74,550 with a standard deviation of $19,872. You areinterested in comparing the income of today’s employees with those of 2008. Arandom sample of 100 employees of the corporation yields x = $75,207 and s =$18,901a. Describe the center and variability of the population distribution. What shapedoes it probably have? Explain.b. Describe the center and variability of the sampling distribution of the samplemans for n = 100. What shape does it have? Explainc. Explain why it would not be unusual to observe an individual who earns morethan $100,000, but it would be highly unusual to observe a sample meanincome of more than $100,000 for a random sample size of 100 people.

Question

A large corporation employs 27,251 individuals. The average income in 2008 for
all employees was $74,550 with a standard deviation of $19,872. You are
interested in comparing the income of today’s employees with those of 2008. Arandom sample of 100 employees of the corporation yields x = $75,207 and s =$18,901
a. Describe the center and variability of the population distribution. What shape
does it probably have? Explain.
b. Describe the center and variability of the sampling distribution of the sample
mans for n = 100. What shape does it have? Explain
c. Explain why it would not be unusual to observe an individual who earns more
than $100,000, but it would be highly unusual to observe a sample mean
income of more than $100,000 for a random sample size of 100 people.

Expert Answer

Want to see the step-by-step answer?

See Answer

Check out a sample Q&A here.

Want to see this answer and more?

Step-by-step answers are written by subject experts who are available 24/7. Questions are typically answered in as fast as 30 minutes.*

See Answer
*Response times vary by subject and question complexity. Median response time is 34 minutes and may be longer for new subjects.

Related Statistics Q&A

Find answers to questions asked by student like you
Show more Q&A

Q: Flying over the western states with mountainous terrain in a small aircraft is 40% riskier than flyi...

A: (a) Poisson distribution:It is a discrete probability distribution that models the number of events ...

Q: Suppose x has a distribution with μ = 60 and σ = 17. (a) If random samples of size n = 16 are select...

A: Note:Hi there! Thank you for posting the question. The Part (b) of your question asks about the “x d...

Q: The claim is that the proportion of adults who smoked a cigarette in the past week is less than 0.30...

A: Introduction:The test hypotheses are:Null hypothesis:H0: p = 0.30, that is, 30% in the sample of 1,1...

Q: 1). How would you measure both “general knowledge” and “judgment” (what are your operational definit...

A: 1)The “general knowledge” and “judgement” of the participants can be measured by a series of tests g...

Q: What’s the mean annual return of the S&P 400 Midcap Index over the past 7 years?  What’s the sta...

A: Hello there! there are more than three sub parts in the given question. According to our policies we...

Q: Three cards are drawn from a deck without replacement.  Find these probabilities.   a. all are jacks...

A: Total number of cards in a standard deck of cards = 52There are 4 suits consisting of 13 cards each....

Q: Statistics Question

A: Consider the provided equation:

Q: Find the standard deviation, s, of sample data summarized in the frequency distribution table given ...

A: Using the provided formula, the sample standard deviation of the provided frequency distribution is ...

Q: The Congressional Budget Office reports that 36% of federal civilian employees have a bachelor's deg...

A: Note:Thank you for posting the question! Since your question has more than 3 parts, we have solved t...