Explain if there was a statistically significant difference between the group means. Explain how you arrived at your conclusion 1.A manager wants to raise the productivity at his company by increasing the speed at which his employeescan use a particular spreadsheet program. As he does not have the skills in-house, he employs an externalagency, which provides training in this spreadsheet program. They offer three courses: a beginner,intermediate and advanced course. He is unsure which course is needed for the type of work they do at hiscompany, so he sends 10 employees on the beginner course, 10 on the intermediate and 10 on the advancedcourse. When they all return from the training, he gives them a problem to solve using the spreadsheetprogram, and times how long it takes them to complete the problem. He then compares the three courses(beginner, intermediate, advanced) to see if there are any differences in the average time it took to completethe problem. Data collected were analyzed using significance level (a) of 0.05; the result is shown in theoutput below:SourcesBetween GroupsWithin GroupsTotalQUIZ 7Sum of Squares91.467276.400367.867ANOVA OUTPUTdf22729Mean Square45.73310.237F4.467Sig.0.071Explain if there was a statistically significant difference between the group means. Explain how you arrived atyour conclusion.

First we state the hypothesis for the above question. Null hypothesis, H0: There is no difference…

Answered: 1. A manager wants to raise the…

MATLAB: An Introduction with Applications

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Author:Amos Gilat

Publisher:Amos Gilat

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Explain if there was a statistically significant difference between the group means. Explain how you arrived at your conclusion

1.
A manager wants to raise the productivity at his company by increasing the speed at which his employees
can use a particular spreadsheet program. As he does not have the skills in-house, he employs an external
agency, which provides training in this spreadsheet program. They offer three courses: a beginner,
intermediate and advanced course. He is unsure which course is needed for the type of work they do at his
company, so he sends 10 employees on the beginner course, 10 on the intermediate and 10 on the advanced
course. When they all return from the training, he gives them a problem to solve using the spreadsheet
program, and times how long it takes them to complete the problem. He then compares the three courses
(beginner, intermediate, advanced) to see if there are any differences in the average time it took to complete
the problem. Data collected were analyzed using significance level (a) of 0.05; the result is shown in the
output below:
Sources
Between Groups
Within Groups
Total
QUIZ 7
Sum of Squares
91.467
276.400
367.867
ANOVA OUTPUT
df
2
27
29
Mean Square
45.733
10.237
F
4.467
Sig.
0.071
Explain if there was a statistically significant difference between the group means. Explain how you arrived at
your conclusion.

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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