Question
In: Statistics and Probability
How productive are employees? One way to answer this question is to study annual company profits...
How productive are employees? One way to answer this question is to study annual company profits per employee. Let x1 represent annual profits per employee in computer stores in St. Louis. A random sample of n1 = 11 computer stores gave a sample mean of x1 = $25,200 profit per employee with sample standard deviation s1 = $8,400. Another random sample of n2 = 9 building supply stores in St. Louis gave a sample mean x2 = $19,900 per employee with sample standard deviation s2 = $7,600. Does this indicate that in St. Louis computer stores tend to have higher mean profits per employee? Use a = 0.01
(a) State the null and alternate hypotheses. Will we use a
left-tailed, right-tailed, or two-tailed test? What is the level of
significance?
(b) Identify the sampling distribution to be used: standard normal
or the Student's t. Compute the z or t value of the sample test
statistic and sketch its location.
(c) Find the P value for the sample test statistic.
(d) Should we reject or fail to reject the null hypothesis?
Solutions
t test for two population
mean.
orchestra answered 1 year agoRelated Solutions
How productive are U.S. workers? One way to answer this question is to study annual profits...
How productive are U.S. workers? One way to answer this question
is to study annual profits per employee. A random sample of
companies in computers (I), aerospace (II), heavy equipment (III),
and broadcasting (IV) gave the following data regarding annual
profits per employee (units in thousands of dollars).
I
II
III
IV
27.2
13.3
22.9
17.2
23.3
9.8
20.2
16.6
14.4
11.7
7.8
14.1
8.7
8.2
12.2
15.9
11.5
6.3
7.9
10.1
19.3
9.4
Shall we reject or not reject...
How productive are U.S. workers? One way to answer this question is to study annual profits...
How productive are U.S. workers? One way to answer this question
is to study annual profits per employee. A random sample of
companies in computers (I), aerospace (II), heavy equipment (III),
and broadcasting (IV) gave the following data regarding annual
profits per employee (units in thousands of dollars).
I
II
III
IV
27.9
13.2
22.2
17.2
23.1
9.7
20.3
16.2
14.3
11.6
7.6
14.9
8.6
8.4
12.1
15.3
11.2
6.3
7.3
10.6
19.4
9.2
Shall we reject or not reject...
How productive are U.S. workers? One way to answer this question is to study annual profits...
How productive are U.S. workers? One way to answer this question
is to study annual profits per employee. A random sample of
companies in computers (I), aerospace (II), heavy equipment (III),
and broadcasting (IV) gave the following data regarding annual
profits per employee (units in thousands of dollars).
I II III IV
27.5 13.6 22.6 17.2
23.7 9.6 20.5 16.5
14.6 11.4 7.3 14.2
8.1 8.2 12.9 15.9
11.6 6.8 7.7 10.5
19.9 9.1
Shall we reject or not...
How productive are U.S. workers? One way to answer this question is to study annual profits...
How productive are U.S. workers? One way to answer this question
is to study annual profits per employee. A random sample of
companies in computers (I), aerospace (II), heavy equipment (III),
and broadcasting (IV) gave the following data regarding annual
profits per employee (units in thousands of dollars).
I
II
III
IV
27.2
13.2
22.8
17.8
23.4
9.6
20.1
16.2
14.6
11.7
7.4
14.1
8.9
8.1
12.3
15.4
11.9
6.9
7.0
10.8
19.6
9.6
Shall we reject or not reject...
How productive are U.S. workers? One way to answer this question is to study annual profits...
How productive are U.S. workers? One way to answer this question
is to study annual profits per employee. A random sample of
companies in computers (I), aerospace (II), heavy equipment (III),
and broadcasting (IV) gave the following data regarding annual
profits per employee (units in thousands of dollars).
I
II
III
IV
27.3
13.9
22.7
17.8
23.9
9.4
20.5
16.6
14.4
11.5
7.1
14.2
8.1
8.7
12.9
15.4
11.2
6.8
7.7
10.2
19.2
9.5
Shall we reject or not reject...
How productive are U.S. workers? One way to answer this question is to study annual profits...
How productive are U.S. workers? One way to answer this question
is to study annual profits per employee. A random sample of
companies in computers (I), aerospace (II), heavy equipment (III),
and broadcasting (IV) gave the following data regarding annual
profits per employee (units in thousands of dollars).
I
II
III
IV
27.5
13.7
22.8
17.1
23.3
9.3
20.3
16.7
14.7
11.7
7.9
14.5
8.6
8.9
12.5
15.3
11.5
6.1
7.2
10.4
19.2
9.1
Shall we reject or not reject...
#15 How productive are U.S. workers? One way to answer this question is to study annual...
#15
How productive are U.S. workers? One way to answer this question
is to study annual profits per employee. A random sample of
companies in computers (I), aerospace (II), heavy equipment (III),
and broadcasting (IV) gave the following data regarding annual
profits per employee (units in thousands of dollars).
I
II
III
IV
27.3
13.2
22.7
17.9
23.4
9.2
20.4
16.9
14.3
11.5
7.2
14.8
8.4
8.2
12.7
15.1
11.8
6.5
7.0
10.2
19.8
9.8
(b) Find SSTOT, SSBET, and...
M14 #15: How productive are U.S. workers? One way to answer this question is to study...
M14 #15: How productive are U.S. workers? One way to answer this
question is to study annual profits per employee. A random sample
of companies in computers (I), aerospace (II), heavy equipment
(III), and broadcasting (IV) gave the following data regarding
annual profits per employee (units in thousands of dollars).
I
II
III
IV
27.3
13.8
22.6
17.9
23.6
9.7
20.4
16.6
14.8
11.8
7.5
14.2
8.1
8.9
12.3
15.2
11.1
6.8
7.4
10.7
19.1
9.9
A) Find SSTOT, SSBET,
and...
How profitable are different sectors of the stock market? One way to answer such a 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 28 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 = 13.9. A random
sample of 36 utility (gas and electric) stocks such as Boston
Edison, Wisconsin Energy, and Texas Utilities was studied...
How profitable are different sectors of the stock market? One way to answer such a 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 25 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 = 14.8. A random
sample of 30 utility (gas and electric) stocks such as Boston
Edison, Wisconsin Energy, and Texas Utilities was studied...
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