You may need to use the appropriate appendix table or technology to answer this question. Barron's reported that the average number of weeks an individual is unemployed is 18.5 weeks. Assume that for the population of all unemployed individuals the population mean length of unemployment is 18.5 weeks and that the population standard deviation is 6 weeks. Suppose you would like to select a sample of 50 unemployed individuals for a follow-up study. (a) Show the sampling distribution of x, the sample mean average for a sample of 50 unemployed individuals. A bell-shaped curve is above a horizontal axis labeled weeks. The horizontal axis ranges from about -2.4 to about 2.4. The curve enters the viewing window near -2.4 just above the horizontal axis, curves up to the right, and reaches a maximum near 0. The curve then curves down and to the right until it leaves the viewing window at the same height it entered near 2.4. A bell-shaped curve is above a horizontal axis labeled weeks. The horizontal axis ranges from about 16.1 to about 20.9. The curve enters the viewing window near 16.1 just above the horizontal axis, curves up to the right, and reaches a maximum near 18.5. The curve then curves down and to the right until it leaves the viewing window at the same height it entered near 20.9. A bell-shaped curve is above a horizontal axis labeled weeks. The horizontal axis ranges from about 0.5 to about 36.5. The curve enters the viewing window near 0.5 just above the horizontal axis, curves up to the right, and reaches a maximum near 18.5. The curve then curves down and to the right until it leaves the viewing window at the same height it entered near 36.5. A bell-shaped curve is above a horizontal axis labeled weeks. The horizontal axis ranges from about 47.6 to about 52.4. The curve enters the viewing window near 47.6 just above the horizontal axis, curves up to the right, and reaches a maximum near 50. The curve then curves down and to the right until it leaves the viewing window at the same height it entered near 52.4. (b) What is the probability that a simple random sample of 50 unemployed individuals will provide a sample mean within 1 week of the population mean? (Round your answer to four decimal places.) (c) What is the probability that a simple random sample of 50 unemployed individuals will provide a sample mean within 1 2

You may need to use the appropriate appendix table or technology to answer this question. Barron's reported that the average number of weeks an individual is unemployed is 18.5 weeks. Assume that for the population of all unemployed individuals the population mean length of unemployment is 18.5 weeks and that the population standard deviation is 6 weeks. Suppose you would like to select a sample of 50 unemployed individuals for a follow-up study. (a) Show the sampling distribution of x, the sample mean average for a sample of 50 unemployed individuals. A bell-shaped curve is above a horizontal axis labeled weeks. The horizontal axis ranges from about -2.4 to about 2.4. The curve enters the viewing window near -2.4 just above the horizontal axis, curves up to the right, and reaches a maximum near 0. The curve then curves down and to the right until it leaves the viewing window at the same height it entered near 2.4. A bell-shaped curve is above a horizontal axis labeled weeks. The horizontal axis ranges from about 16.1 to about 20.9. The curve enters the viewing window near 16.1 just above the horizontal axis, curves up to the right, and reaches a maximum near 18.5. The curve then curves down and to the right until it leaves the viewing window at the same height it entered near 20.9. A bell-shaped curve is above a horizontal axis labeled weeks. The horizontal axis ranges from about 0.5 to about 36.5. The curve enters the viewing window near 0.5 just above the horizontal axis, curves up to the right, and reaches a maximum near 18.5. The curve then curves down and to the right until it leaves the viewing window at the same height it entered near 36.5. A bell-shaped curve is above a horizontal axis labeled weeks. The horizontal axis ranges from about 47.6 to about 52.4. The curve enters the viewing window near 47.6 just above the horizontal axis, curves up to the right, and reaches a maximum near 50. The curve then curves down and to the right until it leaves the viewing window at the same height it entered near 52.4. (b) What is the probability that a simple random sample of 50 unemployed individuals will provide a sample mean within 1 week of the population mean? (Round your answer to four decimal places.) (c) What is the probability that a simple random sample of 50 unemployed individuals will provide a sample mean within 1 2

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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You may need to use the appropriate appendix table or technology to answer this question.

Barron's reported that the average number of weeks an individual is unemployed is 18.5 weeks. Assume that for the population of all unemployed individuals the population mean length of unemployment is 18.5 weeks and that the population standard deviation is 6 weeks. Suppose you would like to select a sample of 50 unemployed individuals for a follow-up study.

(a)

Show the sampling distribution of

the sample mean average for a sample of 50 unemployed individuals.

A bell-shaped curve is above a horizontal axis labeled weeks.

The horizontal axis ranges from about -2.4 to about 2.4.
The curve enters the viewing window near -2.4 just above the horizontal axis, curves up to the right, and reaches a maximum near 0.
The curve then curves down and to the right until it leaves the viewing window at the same height it entered near 2.4.

A bell-shaped curve is above a horizontal axis labeled weeks.

The horizontal axis ranges from about 16.1 to about 20.9.
The curve enters the viewing window near 16.1 just above the horizontal axis, curves up to the right, and reaches a maximum near 18.5.
The curve then curves down and to the right until it leaves the viewing window at the same height it entered near 20.9.

A bell-shaped curve is above a horizontal axis labeled weeks.

The horizontal axis ranges from about 0.5 to about 36.5.
The curve enters the viewing window near 0.5 just above the horizontal axis, curves up to the right, and reaches a maximum near 18.5.
The curve then curves down and to the right until it leaves the viewing window at the same height it entered near 36.5.

A bell-shaped curve is above a horizontal axis labeled weeks.

The horizontal axis ranges from about 47.6 to about 52.4.
The curve enters the viewing window near 47.6 just above the horizontal axis, curves up to the right, and reaches a maximum near 50.
The curve then curves down and to the right until it leaves the viewing window at the same height it entered near 52.4.

(b)

What is the probability that a simple random sample of 50 unemployed individuals will provide a sample mean within 1 week of the population mean? (Round your answer to four decimal places.)

(c)

What is the probability that a simple random sample of 50 unemployed individuals will provide a sample mean within

week

of the population mean? (Round your answer to four decimal places.

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