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# Normal Distribution Essay

1864 words - 8 pages

The probability distribution of the population data is called the population distribution. Tables 7.1 and 7.2 on page 309 of the text provide an example of such a distribution. The probability distribution of a sample statistic is called its sampling distribution. Tables 7.3 to 7.5 on page 311 of the text provide an example of the sampling distribution of the sample mean.

1. Sampling error is the difference between the value of the sample statistic and the value of the corresponding population parameter, assuming that the sample is random and no nonsampling error has been made. Example 7–1 on page 312 of the text exhibits sampling error. Sampling errors occur only in sample ...view middle of the document...

25 |–.08 |
|15, 8, 9, 12 |11.00 |–1.33 |
|13, 8, 9, 12 |10.50 |–1.83 |
|15, 17, 9, 12 |13.25 |.92 |
|13, 17, 9, 12 |12.75 |.42 |
|8, 17, 9, 12 |11.50 |–.83 |

4. a. [pic]

b. [pic]
Sampling error = [pic]

c. Rich’s incorrect [pic]
[pic]
Sampling error (from part b) = –.27
Nonsampling error [pic]
d.
|Sample |[pic] |[pic] |
|25, 13 19,9,15,11,7,17,30 |16.22 |–.38 |
|20, 13, 19, 9, 15, 11, 7, 17, 30 |15.67 |–.93 |
|20, 25 19, 9, 15, 11, 7, 17, 30 |17.00 |.40 |
|20, 25, 13, 9, 15, 11, 7, 17, 30 |16.33 |–.27 |
|20, 25, 13, 19, 15, 11, 7, 17, 30 |17.44 |.84 |
|20, 25, 13, 19, 9, 11, 7, 17, 30 |16.78 |.18 |
|20, 25, 13, 19, 9, 15, 7, 17, 30 |17.22 |.62 |
|20, 25, 13, 19, 9, 15, 11, 17, 30 |17.67 |1.07 |
|20, 25, 13, 19, 9, 15, 11, 7, 30 |16.56 |–.04 |
|20, 25, 13, 19, 9, 15, 11, 7, 17 |15.11 |–1.49 |

7.6
|x |P(x) |x P(x) |x2 P(x) |
|70 |.20 |14.00 |980.00 |
|78 |.20 |15.60 |1216.80 |
|80 |.40 |32.00 |2560.00 |
|95 |.20 |19.00 |1805.00 |
| | |[pic] |[pic] |

[pic][pic]
[pic]= 8.09

7.7 a.
|[pic] |[pic] |
|55 |1/6=.167 |
|53 |1/6=.167 |
|28 |1/6=.167 |
|25 |1/6=.167 |
|21 |1/6=.167 |
|15 |1/6=.167 |

b.
|Sample |[pic] |
|55, 53, 28, 25, 21 |36.4 |
|55, 53, 28, 25, 15 |35.2 |
|55, 53, 28, 21, 15 |34.4 |
|55, 53, 25, 21, 15 |33.8 ...

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