Question
In: Math
The following three independent random samples are obtained from three normally distributed populations with equal variance....
The following three independent random samples are obtained from three normally distributed populations with equal variance. The dependent variable is starting hourly wage, and the groups are the types of position (internship, co-op, work study).
| Group 1: Internship | Group 2: Co-op | Group 3: Work Study |
|---|---|---|
| 15 | 14.75 | 14.25 |
| 17.25 | 9.75 | 15.5 |
| 13 | 15.25 | 16.25 |
| 16.75 | 14 | 13.5 |
| 13 | 14.25 | 13.75 |
| 13 | 16 | 15.75 |
| 15.25 | 9.5 | 15.25 |
| 17.5 | 12 | 16.75 |
Do not forget to convert this table from parallel format
(i.e., groups in each column) to serial format for analysis in
SPSS.
Use SPSS (or another statistical software package) to conduct a
one-factor ANOVA to determine if the group means are equal using
α=0.05. Though not specifically assessed here, you are encouraged
to also test the assumptions, plot the group means, and interpret
the results.
Group means (report to 2 decimal places):
Group 1: Internship:
Group 2: Co-op:
Group 3: Work Study:
ANOVA summary statistics:
F-ratio =
(report accurate to 3 decimal
places)
p=
(report accurate to 4 decimal
places)
Conclusion:
a.There is not sufficient data to conclude the starting wages are different for the different groups.
b. The sample data suggest the average starting hourly wages are not the same.
Solutions
Expert Solution
Group means (report to 2 decimal places):
Group 1: Internship: 15.0937
Group 2: Co-op:13.1875
Group 3: Work Study:15.125
ANOVA summary statistics:
F-ratio =2.6077
(report accurate to 3 decimal
places)
p=0.0974
(report accurate to 4 decimal
places)
Conclusion:
a.There is not sufficient data to conclude the starting wages are different for the different groups.
Detailed calculation is given below
milcah answered 1 year agoRelated Solutions
The following three independent random samples are obtained from three normally distributed populations with equal variance....
The following three independent random samples are obtained from
three normally distributed populations with equal variance. The
dependent variable is starting hourly wage, and the groups are the
types of position (internship, co-op, work study).
Group 1: Internship
Group 2: Co-op
Group 3: Work Study
12.5
13
13.5
10.75
12
13.25
12.5
9.5
11.75
12
12.5
13.25
12.5
12.5
12.75
9.5
14
13.5
12.25
14.25
15
Use technology to conduct a one-factor ANOVA to determine if the
group means are...
The following three independent random samples are obtained from three normally distributed populations with equal variance....
The following three independent random samples are obtained from
three normally distributed populations with equal variance. The
dependent variable is starting hourly wage, and the groups are the
types of position (internship, co-op, work study). We are testing
the claim that the starting salaries for new college graduate are
different depending on the positions at α=0.2α=0.2 given the
following data
Group 1: Internship
Group 2: Co-op
Group 3: Work Study
10
11.25
16
14.75
13
14
10.5
13.5
14
9.5...
The following three independent random samples are obtained from three normally distributed populations with equal variance....
The following three independent random samples are obtained from
three normally distributed populations with equal variance. The
dependent variable is starting hourly wage, and the groups are the
types of position (internship, co-op, work study).
Group 1: Internship
Group 2: Co-op
Group 3: Work Study
9
9
13.75
9.25
12.75
11.75
12
11.5
11.25
11.75
14.75
16.25
12.25
8.75
10
11.75
10.5
11.5
10
9.75
12.75
11.25
10.75
15.5
Do not forget to convert this table from parallel format
(i.e.,...
The following three independent random samples are obtained from three normally distributed populations with equal variances....
The following three independent random samples are obtained from
three normally distributed populations with equal variances. The
dependent variable is starting hourly wage, and the groups are the
types of position (internship, co-op, work study). Round answers to
4 decimal places.
Internship
Co-op
Work Study
9.25
10.5
10.75
9.5
9.75
10
10.75
11
10.5
12
10.75
11.25
10.25
10.25
9.75
10.75
9.25
10.25
10
11.5
9
9.75
9.75
10
10.25
9.5
11.25
12.75
11
10.75
10
11.5
8.75
8.25
10...
The following three independent random samples are obtained from three normally distributed populations with equal variances....
The following three independent random samples are obtained from
three normally distributed populations with equal variances. The
dependent variable is starting hourly wage, and the groups are the
types of position (internship, co-op, work study). Round answers to
4 decimal places.
Internship
Co-op
Work Study
11.25
11
10.5
12.5
11.75
14.75
10.75
14
10.5
11.5
9.5
9.5
12.5
13.5
11
11.75
10.75
13.25
11.75
14.25
10.5
14.25
10.75
12.5
12.5
12.75
12.25
11.5
11.25
9.5
12
12.25
11.75
10.5
12...
The following five independent random samples are obtained from five normally distributed populations with equal variances....
The following five independent random samples are obtained from
five normally distributed populations with equal variances. The
dependent variable is the number of bank transactions in 1 month,
the groups are five different banks. Conduct a trend analysis at
the .05 level. Use SPSS to conduct a one-factor ANOVA to determine
if the group means are equal using alpha = .05. Test the
assumptions, plot the group means, consider an effect size,
interpret the results, and write an APA style...
The following information was obtained from two independent samples selected from two normally distributed populations with...
The following information was obtained from two independent
samples selected from two normally distributed populations with
unknown but equal standard deviations.
n1=33; x1¯=14.46;
s1=15.07.
n2=23; x2¯=−4.75;
s2=14.65.
Find a point estimate and a 97.5% confidence interval for
μ1−μ2.
For the following, round all answers to no fewer than 4 decimal
places.
The point estimate of μ1−μ2 is:
Answer
The lower limit of the confidence interval is:
Answer
The upper limit of the confidence interval is:
Answer
The margin of error...
Assume that the two samples are independent simple random samples selected from normally distributed populations. Do...
Assume that the two samples are independent simple random
samples selected from normally distributed populations. Do not
assume that the population standard deviations are equal. Refer to
the accompanying data set. Use a 0.01 significance level to test
the claim that the sample of home voltages and the sample of
generator voltages are from populations with the same mean. If
there is a statistically significant difference, does that
difference have practical significance?
Day Home (volts) Generator
(volts)
1 123.7 ...
Assume that the two samples are independent simple random samples selected from normally distributed populations. Do...
Assume that the two samples are independent simple random
samples selected from normally distributed populations. Do not
assume that the population standard deviations are equal.
Refer to the accompanying data set. Use a 0.05 significance
level to test the claim that the sample of home voltages and the
sample of generator voltages are from populations with the same
mean. If there is a statistically significant difference, does
that difference have practical significance?
Day
Home( volts)
Generator( volts)
Day
Home (volts)...
Assume that two samples are independent simple random samples selected from normally distributed populations. Do not...
Assume that two samples are independent simple random samples
selected from normally distributed populations. Do not assume that
the population standard deviations are equal.
A paint manufacturer wished to compare the drying times of two
different types of paint. Independent simple random samples of 11
cans of type A and 14 cans of type B were selected and applied to
similar surfaces. The drying times, in hours, were recorded.
The summary statistics are below.
Type A:
x1 = 75.7
hours,...
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