Question

How profitable are different sectors of the stock market? One way to answer such a question is to examine profit as a percentage of stockholder equity. A random sample of 31 retail stocks such as Toys 'R' Us, Best Buy, and Gap was studied for x1, profit as a percentage of stockholder equity. The result was x1 = 14.6. A random sample of 31 utility (gas and electric) stocks such as Boston Edison, Wisconsin Energy, and Texas Utilities was studied for x2, profit as a percentage of stockholder equity. The result was x2 = 9.6. Assume that σ1 = 4.4 and σ2 = 3.6.

Let μ1 represent the population mean profit as a percentage of stockholder equity for retail stocks, and let μ2 represent the population mean profit as a percentage of stockholder equity for utility stocks. Find a 99% confidence interval for μ1 – μ2. (Use 1 decimal place.)

Lower limit=

Upper limit=

Answer #1

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How profitable are different sectors of the stock market? One
way to answer such a question is to examine profit as a percentage
of stockholder equity. A random sample of 35 retail stocks such as
Toys 'R' Us, Best Buy, and Gap was studied for
x1, profit as a percentage of stockholder
equity. The result was x1 = 15.0. A random
sample of 38 utility (gas and electric) stocks such as Boston
Edison, Wisconsin Energy, and Texas Utilities was studied...

1. The following data represent petal lengths (in cm) for
independent random samples of two species of Iris.
Petal length (in cm) of Iris virginica:
x1; n1 = 35
5.1
5.9
6.1
6.1
5.1
5.5
5.3
5.5
6.9
5.0
4.9
6.0
4.8
6.1
5.6
5.1
5.6
4.8
5.4
5.1
5.1
5.9
5.2
5.7
5.4
4.5
6.4
5.3
5.5
6.7
5.7
4.9
4.8
5.9
5.1
Petal length (in cm) of Iris setosa:
x2; n2 = 38
1.5
1.9
1.4
1.5
1.5...

A study of parental empathy for sensitivity cues and baby
temperament (higher scores mean more empathy) was performed. Let
x1 be a random variable that represents the
score of a mother on an empathy test (as regards her baby). Let
x2 be the empathy score of a father. A random
sample of 31 mothers gave a sample mean of x1 =
69.55. Another random sample of 36 fathers gave
x2 = 59.00. Assume that σ1
= 10.71 and σ2 =...

The following data represent petal lengths (in cm) for
independent random samples of two species of Iris.
Petal length (in cm) of Iris virginica: x1; n1
= 35
5.1 5.5 6.2 6.1 5.1 5.5 5.3 5.5 6.9 5.0 4.9 6.0 4.8 6.1 5.6 5.1 5.6
4.8 5.4 5.1 5.1 5.9 5.2 5.7 5.4 4.5 6.4 5.3 5.5 6.7 5.7 4.9 4.8 5.8
5.1
Petal length (in cm) of Iris setosa: x2; n2
= 38
1.4 1.6 1.4 1.5 1.5 1.6...

The following data represent petal lengths (in cm) for
independent random samples of two species of Iris. Petal length (in
cm) of Iris virginica: x1; n1 = 35 5.0 5.7 6.2 6.1 5.1 5.5 5.3 5.5
6.9 5.0 4.9 6.0 4.8 6.1 5.6 5.1 5.6 4.8 5.4 5.1 5.1 5.9 5.2 5.7 5.4
4.5 6.4 5.3 5.5 6.7 5.7 4.9 4.8 5.8 5.2 Petal length (in cm) of
Iris setosa: x2; n2 = 38 1.6 1.6 1.4 1.5 1.5 1.6...

The following data represent petal lengths (in cm) for
independent random samples of two species of Iris.
Petal length (in cm) of Iris virginica:
x1; n1 = 35
5.3
5.9
6.5
6.1
5.1
5.5
5.3
5.5
6.9
5.0
4.9
6.0
4.8
6.1
5.6
5.1
5.6
4.8
5.4
5.1
5.1
5.9
5.2
5.7
5.4
4.5
6.4
5.3
5.5
6.7
5.7
4.9
4.8
5.7
5.2
Petal length (in cm) of Iris setosa:
x2; n2 = 38
1.6
1.9
1.4
1.5
1.5
1.6...

The following data represent soil water content (percentage of
water by volume) for independent random samples of soil taken from
two experimental fields growing bell peppers.
Soil water content from field I: x1; n1 = 72
15.2 11.3 10.1 10.8 16.6 8.3 9.1 12.3 9.1 14.3 10.7 16.1 10.2
15.2 8.9 9.5 9.6 11.3 14.0 11.3 15.6 11.2 13.8 9.0 8.4 8.2 12.0
13.9 11.6 16.0 9.6 11.4 8.4 8.0 14.1 10.9 13.2 13.8 14.6 10.2 11.5
13.1 14.7 12.5...

The following data represent soil water content (percentage of
water by volume) for independent random samples of soil taken from
two experimental fields growing bell peppers.
Soil water content from field I: x1; n1 = 72
15.2 11.3 10.1 10.8 16.6 8.3 9.1 12.3 9.1 14.3 10.7 16.1 10.2
15.2 8.9 9.5 9.6 11.3 14.0 11.3 15.6 11.2 13.8 9.0 8.4 8.2 12.0
13.9 11.6 16.0 9.6 11.4 8.4 8.0 14.1 10.9 13.2 13.8 14.6 10.2 11.5
13.1 14.7 12.5...

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