MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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From a very large (essentially infinite) population, of which half are men and half are women, you take a random sample, with replacement. Use the provided random number table and assume each single digit represents selection of one person; the odd numbers represent women and the even numbers (0, 2, 4, 6, 8) represent men. Complete parts (a) through (c) below.

- Click the icon for a table of random numbers.

a. Start on the left side of the top line (with 598) and count 10 people. What percentage of the sample will be men?
   \[
   \% \text{ (Type an integer or a decimal. Do not round.)}
   \]

b. Start in the middle of the second line (with 453) and count 20 people. What percentage of the sample will be men?
   \[
   \% \text{ (Type an integer or a decimal. Do not round.)}
   \]

c. If parts (a) and (b) were repeated many times, which sample would typically come closer to 50% – the sample of 10 or the sample of 20? Why?

- A. Both samples will have about the same precision, because the precision of \( \hat{p} \) depends only on the population size. The larger the population, the more precise the estimate.
- B. The sample of 10 would be more likely to have a proportion close to 50%, because the precision of \( \hat{p} \) depends only on the size of the sample. The estimate is more precise if the sample is smaller.
- C. The sample of 20 would be more likely to have a proportion close to 50%, because the precision of \( \hat{p} \) depends only on the size of the sample. The estimate is more precise if the sample is larger.
- D. The sample of 10 would be more likely to have a proportion close to 50%, because the sample of 20 is too large relative to the population to be reliable.

Random Number Table:

- 59888 13525 83577 43901
- 07948 01477 43511 15107
- 32452 99770 58768 88407

- [Print] [Done]
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Transcribed Image Text:From a very large (essentially infinite) population, of which half are men and half are women, you take a random sample, with replacement. Use the provided random number table and assume each single digit represents selection of one person; the odd numbers represent women and the even numbers (0, 2, 4, 6, 8) represent men. Complete parts (a) through (c) below. - Click the icon for a table of random numbers. a. Start on the left side of the top line (with 598) and count 10 people. What percentage of the sample will be men? \[ \% \text{ (Type an integer or a decimal. Do not round.)} \] b. Start in the middle of the second line (with 453) and count 20 people. What percentage of the sample will be men? \[ \% \text{ (Type an integer or a decimal. Do not round.)} \] c. If parts (a) and (b) were repeated many times, which sample would typically come closer to 50% – the sample of 10 or the sample of 20? Why? - A. Both samples will have about the same precision, because the precision of \( \hat{p} \) depends only on the population size. The larger the population, the more precise the estimate. - B. The sample of 10 would be more likely to have a proportion close to 50%, because the precision of \( \hat{p} \) depends only on the size of the sample. The estimate is more precise if the sample is smaller. - C. The sample of 20 would be more likely to have a proportion close to 50%, because the precision of \( \hat{p} \) depends only on the size of the sample. The estimate is more precise if the sample is larger. - D. The sample of 10 would be more likely to have a proportion close to 50%, because the sample of 20 is too large relative to the population to be reliable. Random Number Table: - 59888 13525 83577 43901 - 07948 01477 43511 15107 - 32452 99770 58768 88407 - [Print] [Done]
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