Question
In: Math
An economist with the Liquor, Hospitality and Miscellaneous Workers' Union collected data on the weekly salaries...
An economist with the Liquor, Hospitality and Miscellaneous Workers' Union collected data on the weekly salaries of workers in the hospitality industry in Cairns and Townsville. The union believed that the weekly salaries of employees in Cairns were higher and they were mounting a case for the equalisation of salaries between the northern cities. The researcher took samples of size 30 and 37 in Cairns and Townsville, respectively, and found that the average and standard deviation of the weekly salaries were $585.43 and $38.72 respectively in Townsville, and $616.19 and $29.13 in Cairns. Use Cairns minus Townsville.
1. Determine a point estimate for the value of the difference in average weekly salary between the two groups (in dollars to 2 decimal places).
2. Calculate the standard error for the difference between the means assuming that the workers' salaries in both locations are normally distributed and have the same population variance (in dollars to 2 decimal places).
3. Use Kaddstat to determine a 95% confidence interval for the difference between the average weekly salaries in Cairns and Townsville.
a. lower limit
b. upper limit (in dollars to 2 decimal places)
Solutions
milcah answered 1 year agoRelated Solutions
An economist with the Liquor, Hospitality and Miscellaneous Workers' Union collected data on the weekly salaries...
An economist with the Liquor, Hospitality and Miscellaneous
Workers' Union collected data on the weekly salaries of workers in
the hospitality industry in Cairns and Townsville. The union
believed that the weekly salaries of employees in Cairns were
higher and they were mounting a case for the equalisation of
salaries between the northern cities. The researcher took samples
of size 30 and 37 in Cairns and Townsville, respectively, and found
that the average and standard deviation of the weekly salaries...
A large data set on Toledo workers was collected and the first three workers are characterized...
A large data set on Toledo workers was collected and the first
three workers are characterized by:
Worker
Age
Hourly Wage
Female
Union
High School
1
33
$20
1
0
0
2
30
$24
0
1
1
3
36
$16
0
0
0
For the entire data set the average age is 31, the standard
deviation of the age is 5, the average hourly wage is $15, and the
standard deviation of the hourly wage is $4.
What is the...
The Company collected a sample of the salaries of its employees. There are 70 salary data...
The Company collected a sample of the salaries of its
employees. There are 70 salary data points summarized in the
frequency distribution below:
Salary
Number of Employees
5,001–10,000
8
10,001–15,000
12
15,001–20,000
20
20,001–25,000
17
25,001–30,000
13
Find the standard deviation.
Find the variance.
An economist is studying the relationship between unemployment and inflation, and has collected the following data....
An economist is studying the relationship between unemployment
and inflation, and has collected the following data. Inflation
appears in columns, unemployment in rows (this question is worth 5
marks).
Unemployment Abated InflationUnchanged Accelerated Total
Lower 5 5 10 20
Unchanged 5 35 20 60
Higher 20 0 0 20
Total 30 40 30 100
The data in the table above summarize the relationship between
unemployment and inflation based on 100 months of data. For
instance, for 35 months, inflation and...
Workers at a certain soda drink factory collected data on the volumes (in ounces) of a...
Workers at a certain soda drink factory collected data on the
volumes (in ounces) of a simple random sample of 22 cans of the
soda drink. Those volumes have a mean of 12.19 oz and a standard
deviation of 0.11 oz, and they appear to be from a normally
distributed population. If the workers want the filling process to
work so that almost all cans have volumes between 12.03 oz and
12.59 oz, the range rule of thumb can be...
Workers at a certain soda drink factory collected data on the volumes (in ounces) of a...
Workers at a certain soda drink factory collected data on the
volumes (in ounces) of a simple random sample of 15 cans of the
soda drink. Those volumes have a mean of 12.19 oz and a standard
deviation of 0.14 oz, and they appear to be from a normally
distributed population. If the workers want the filling process to
work so that almost all cans have volumes between 11.95oz and
12.67oz, the range rule of thumb can be used to...
Consider the following times-series where the data is recorded weekly Data collected over 36 weeks t...
Consider the following times-series where the data is recorded
weekly
Data collected over 36 weeks
t
X
t
X
t
X
t
X
t
X
t
X
1
9.8
7
36.4
13
53.4
19
99.2
25
105.3
31
141.3
2
9.0
8
51.0
14
66.6
20
90.4
26
116.7
32
151.8
3
10.5
9
51.1
15
70.6
21
91.2
27
113.2
33
151.1
4
20.6
10
46.9
16
76.4
22
94.9
28
120.5
34
156.4
5
28.1
11
50.5
17...
Consider the following times-series where the data is recorded weekly Data collected over 36 weeks t...
Consider the following times-series where the data is recorded
weekly
Data collected over 36 weeks
t
X
t
X
t
X
t
X
t
X
t
X
1
9.8
7
36.4
13
53.4
19
99.2
25
105.3
31
141.3
2
9.0
8
51.0
14
66.6
20
90.4
26
116.7
32
151.8
3
10.5
9
51.1
15
70.6
21
91.2
27
113.2
33
151.1
4
20.6
10
46.9
16
76.4
22
94.9
28
120.5
34
156.4
5
28.1
11
50.5
17...
Consider the following times-series where the data is recorded weekly Data collected over 36 weeks t...
Consider the following times-series where the data is recorded
weekly
Data collected over 36 weeks
t
X
t
X
t
X
t
X
t
X
t
X
1
9.8
7
36.4
13
53.4
19
99.2
25
105.3
31
141.3
2
9.0
8
51.0
14
66.6
20
90.4
26
116.7
32
151.8
3
10.5
9
51.1
15
70.6
21
91.2
27
113.2
33
151.1
4
20.6
10
46.9
16
76.4
22
94.9
28
120.5
34
156.4
5
28.1
11
50.5
17...
Consider the following times-series where the data is recorded weekly Data collected over 36 weeks t...
Consider the following times-series where the data is recorded
weekly
Data collected over 36 weeks
t
X
t
X
t
X
t
X
t
X
t
X
1
9.8
7
36.4
13
53.4
19
99.2
25
105.3
31
141.3
2
9.0
8
51.0
14
66.6
20
90.4
26
116.7
32
151.8
3
10.5
9
51.1
15
70.6
21
91.2
27
113.2
33
151.1
4
20.6
10
46.9
16
76.4
22
94.9
28
120.5
34
156.4
5
28.1
11
50.5
17...
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