Purchase Solution

Sampling to Derive Meaningful Statistics

Not what you're looking for?

Ask Custom Question

---
1. Given the following population data: 1,2,4,5,8,9,12, and the lists of all samples of size 2 and 5:

Samples of n = 2
xbar Samples of
n = 5
xbar
1,2 1.5 For population 1,2,4,5,8 4
1,4 2.5 s = ? 1,2,4,5,9 4.2
1,5 3 m = ? 1,2,4,5,12 4.8
1,8 4.5 1,2,4,8,9 4.8
1,9 5 1,2,4,8,12 5.4
1,12 6.5 1,2,4,9,12 5.6
2,4 3 For n = 2 1,2,5,8,9 5
2,5 3.5 sxbar = ? 1,2,5,8,12 5.6
2,8 5 mxbar = ? 1,2,5,9,12 5.8
2,9 5.5 1,2,8,9,12 6.4
2,12 7 1,4,5,8,9 5.4
4,5 4.5 1,4,5,8,12 6
4,8 6 For n = 5 1,4,5,9,12 6.2
4,9 6.5 sxbar = ? 1,4,8,9,12 6.8
4,12 8 mxbar = ? 1,5,8,9,12 7
5,8 6.5 2,4,5,8,9 5.6
5,9 7 2,4,5,8,12 6.2
5,12 8.5 2,4,5,9,12 6.4
8,9 8.5 2,5,8,9,12 7.2
8,12 10 4,5,8,9,12 7.6
9,12 10.5 2,4,8,9,12 7

a) Use Excel to find the six ? values above.

b) Consider the three values of mean and the three values of standard deviation in a). Verify (mathematically) that the Central Limit Theorem applies using the formulas:
µ = µxbar and sxbar = s / vn

2.
Dunkin Donuts advertises that a dozen of their donuts weighs about 43 oz. A certain baker has figured out that she can stay out of trouble with her manager if each donut weighs about 3.6 oz. To test her donut-making process, she randomly selects thirty-one donuts after baking and weighs them. The average of the sample is 3.504 oz with s = 0.109 oz. Construct a 95% confidence interval for the true population mean of donut weights, and then explain whether or not she will be in trouble.
---

Attachments
Purchase this Solution

Solution Summary

This Solution contains over 500 words and calculations to aid you in understanding the Solution to these questions.

Solution Preview

Please find the attached solution.

1. Given the following population data: 1,2,4,5,8,9,12, and the lists of all samples of size 2 and 5:

Samples of n = 2
xbar Samples of
n = 5
xbar
1,2 1.5 For population 1,2,4,5,8 4
1,4 2.5 s = 0.889087 1,2,4,5,9 4.2
1,5 3 m = 5.857143 1,2,4,5,12 4.8
1,8 4.5 1,2,4,8,9 4.8
1,9 5 1,2,4,8,12 5.4
1,12 6.5 1,2,4,9,12 5.6
2,4 3 For n = 2 1,2,5,8,9 5
2,5 3.5 sxbar = 0.544453 1,2,5,8,12 5.6
2,8 5 mxbar = 5.857143 1,2,5,9,12 5.8
2,9 5.5 1,2,8,9,12 6.4
2,12 7 1,4,5,8,9 5.4
4,5 4.5 1,4,5,8,12 6
4,8 6 For n = 5 1,4,5,9,12 6.2
4,9 6.5 sxbar = 0.973946 1,4,8,9,12 6.8
4,12 8 mxbar = 5.857143 1,5,8,9,12 7
5,8 6.5 2,4,5,8,9 5.6
5,9 7 2,4,5,8,12 6.2
5,12 8.5 2,4,5,9,12 6.4
8,9 8.5 ...

Purchase this Solution


Free BrainMass Quizzes
Measures of Central Tendency

Tests knowledge of the three main measures of central tendency, including some simple calculation questions.

Terms and Definitions for Statistics

This quiz covers basic terms and definitions of statistics.

Know Your Statistical Concepts

Each question is a choice-summary multiple choice question that presents you with a statistical concept and then 4 numbered statements. You must decide which (if any) of the numbered statements is/are true as they relate to the statistical concept.

Measures of Central Tendency

This quiz evaluates the students understanding of the measures of central tendency seen in statistics. This quiz is specifically designed to incorporate the measures of central tendency as they relate to psychological research.