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

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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