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 (work study, co-op, internship). H0: µ1 = µ2 = µ3 H1: At least one mean is different.a. What is the test statistic that tests the above hypotheses? b. State the hypotheses for the Bonferroni test between Co-Op and Internship. H0: H1: c. What is the p-value for the Bonferroni test between Co-Op and Internship? d. Is there a statistically significant difference between the mean starting hourly wage between Co-Op and Internship?noyes ← → Cדול ז"Work StudyCo-OpInternshipBetween GroupsWithin GroupsTotalChapter 11 HomeworkCo-OpInternshipPYANS19myopenmath.com/assess2/?cid=166475&aid=12442030#/fullN15Dependent Variable: WageBonferroni2410Work StudyDISum of SquaresMean47.11560.300107.41512.876714.085415.6760(1) Position (J) Position Mean Difference (I-J)Work StudyCo-OpInternshipXdfANOVA-1.20875*-2.79933*1.20875*-1.59058*InternshipWork StudyCo-Op*. The mean difference is significant at the 0.05 level.20482.79933*1.59058*Std. DeviationMultiple ComparisonsMyOpenMath24648524001.5405845556Mean Square23.557Std. Error Sig.37684 .00746742 .00037684 .007FEB2743094 .002.46742 .000.43094 .0021.311tvF95% Confidence Interval-2.1451-3.960717.971Lower Bound Upper Bound2724-2.66131.63795198b Success Con4.Sig.-.2724-1.63792.1451-.51983.96072.6613.000Mach

Given that,The three independent random samples The dependent variable is the starting hourly wage,…

Answered: The following three independent random…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

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 (work study, co-op, internship).

H₀: µ₁ = µ₂ = µ₃

H₁: At least one mean is different.

a. What is the test statistic that tests the above hypotheses?

b. State the hypotheses for the Bonferroni test between Co-Op and Internship.

H0:

H1:

c. What is the p-value for the Bonferroni test between Co-Op and Internship?

d. Is there a statistically significant difference between the mean starting hourly wage between Co-Op and Internship?

← → C
דול ז"
Work Study
Co-Op
Internship
Between Groups
Within Groups
Total
Chapter 11 Homework
Co-Op
Internship
PYANS
19
myopenmath.com/assess2/?cid=166475&aid=12442030#/full
N
15
Dependent Variable: Wage
Bonferroni
24
10
Work Study
DI
Sum of Squares
Mean
47.115
60.300
107.415
12.8767
14.0854
15.6760
(1) Position (J) Position Mean Difference (I-J)
Work Study
Co-Op
Internship
X
df
ANOVA
-1.20875*
-2.79933*
1.20875*
-1.59058*
Internship
Work Study
Co-Op
*. The mean difference is significant at the 0.05 level.
2048
2.79933*
1.59058*
Std. Deviation
Multiple Comparisons
MyOpenMath
2
46
48
52400
1.54058
45556
Mean Square
23.557
Std. Error Sig.
37684 .007
46742 .000
37684 .007
FEB
27
43094 .002
.46742 .000
.43094 .002
1.311
tv
F
95% Confidence Interval
-2.1451
-3.9607
17.971
Lower Bound Upper Bound
2724
-2.6613
1.6379
5198
b Success Con
4.
Sig.
-.2724
-1.6379
2.1451
-.5198
3.9607
2.6613
.000
Mach

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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