Question
In: Statistics and Probability
a. Given the following information obtained from three normally distributed populations, construct an ANOVA table. (Round...
a. Given the following information obtained from three normally distributed populations, construct an ANOVA table. (Round intermediate calculations to at least 4 decimal places. Round "SS" to 2 decimal places, "MS" to 4 decimal places, and "F" to 3 decimal places.)
SSTR = 251.3; SSE = 2,449.5; c = 3; n1 = n2 = n3 = 10
b. At the 10% significance level, what is the conclusion to the ANOVA test of mean differences?
-
Do not reject H0; we cannot conclude that some means differ.
-
Reject H0; we can conclude that some means differ.
-
Do not reject H0; we can conclude that some means differ.
-
Reject H0; we cannot conclude that some means differ.
rev: 06_10_2019_QC_CS-170121
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a)
| source | SS | df | MSS | F |
| between | 251.3 | =3-1 | =251.3/2 | =125.6500/90.7222 |
| within | 2449.5 | =30-3 | =2449.5/27 | |
| total | =251.3+2449.5 | =30-1 | =2700.8/29 |
| source | SS | df | MSS | F |
| between | 251.30 | 2 | 125.6500 | 1.385 |
| within | 2449.50 | 27 | 90.7222 | |
| total | 2700.80 | 29 | 93.1310 |
p-value = .267545
b)
The Null hypothesis, ho: there is no significant difference in
the mean of three groups.
V/s Alternative hypothesis, h1: at least one of the means of the
three groups differ significantly.
Since p>5%, I fail to reject the null hypothesis and conclude
that there is no significant difference in the mean of three
groups.
Hence the correct option is: "Do not reject
H0; we cannot conclude that some means
differ."
orchestra answered 1 year agoRelated Solutions
. Given the following information obtained from three normally distributed populations, construct an ANOVA table. (Round...
. Given the following information obtained from
three normally distributed populations, construct an ANOVA table.
(Round intermediate calculations to at
least 4 decimal places. Round "SS" to 2 decimal places,
"MS" to 4 decimal places, and "F" to 3 decimal
places.)
SSTR = 286.3; SSE = 2,785.8; c = 3;
n1 = n2 =
n3 = 10
b. At the 5% significance level, what is the
conclusion to the ANOVA test of mean differences?
Do not reject H0; we cannot...
Given the following information obtained from three normally distributed populations, construct an ANOVA table. (Round intermediate...
Given the following
information obtained from three normally distributed populations,
construct an ANOVA table. (Round
intermediate calculations to at least 4 decimal places. Round
"SS" to 2 decimal places, "MS" to 4 decimal
places, and "F" to 3 decimal places.)
SSTR = 200.5;
SSE = 2,255.5; c = 3; n1 =
n2 = n3 = 7
Source of
Variation
SS
df
MS
F
p-value
Between Groups
0.465
Within Groups
Total
Given the following information obtained from four normally distributed populations, construct an ANOVA table. (Round intermediate...
Given the following information obtained from four normally
distributed populations, construct an ANOVA table. (Round
intermediate calculations to at least 4 decimal places. Round
"SS" to 2 decimal places, "MS" to 4 decimal
places, and "F" to 3 decimal places.)
SST = 65.97; SSTR = 13.68; c = 4;
n1 = n2 =
n3 = n4 = 15
ANOVA
Source of Variation
ss
df
ms
f
p value
Between Groups
.004
Within Groups
Total
b. At the 5% significance level,...
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 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 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 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 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 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.,...
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...
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