See Table 2 above and answer the following questions: What can you conclude from the above table?What does the standard deviation tell you about the results?Explain the meaning of “95% confidence interval for mean”?See Table 3 above and answer the following questions:What is the meaning of “multiple comparison”?What can you conclude from Table 2? Table 3Multiple ComparisonsDependent Variable: TimeTukey HSDMean95% Confidence IntervalDifference (I-J)Lower Bound Upper Bound(1) CourseBeginner(J) CourseStd. ErrorSig.3.600003.80000Intermediate1.43088.046.05237.1477Advanced1.43088.034.25237.3477Intermediate Beginner-3.600001.43088.046-7.1477-.0523Advanced.200001.43088.989-3.34773.7477AdvancedBeginner-3.800001.43088.034-7.3477-.2523Intermediate-.200001.43088.989-3.74773.3477*. The mean difference is significant at the 0.05 level. Table 2DescriptivesTime95% Confidence Interval forMeanMeanStd. DeviationStd. ErrorLower BoundUpper BoundMinimumMaximumBeginner1027.20003.04777.9637925.019829.380222.0033.00Intermediate1023.60003.306561.0456321.234625.965418.0029.00Advanced1023.40003.238661.0241521.083225.716818.0029.00Total3024.73333.56161.6502623.403426.063318.0033.00

“Since you have asked multiple question, we will solve the first question for you. If youwant any…

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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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See Table 2 above and answer the following questions:

What can you conclude from the above table?
What does the standard deviation tell you about the results?
Explain the meaning of “95% confidence interval for mean”?

See Table 3 above and answer the following questions:

What is the meaning of “multiple comparison”?
What can you conclude from Table 2?

Table 3
Multiple Comparisons
Dependent Variable: Time
Tukey HSD
Mean
95% Confidence Interval
Difference (I-
J)
Lower Bound Upper Bound
(1) Course
Beginner
(J) Course
Std. Error
Sig.
3.60000
3.80000
Intermediate
1.43088
.046
.0523
7.1477
Advanced
1.43088
.034
.2523
7.3477
Intermediate Beginner
-3.60000
1.43088
.046
-7.1477
-.0523
Advanced
.20000
1.43088
.989
-3.3477
3.7477
Advanced
Beginner
-3.80000
1.43088
.034
-7.3477
-.2523
Intermediate
-.20000
1.43088
.989
-3.7477
3.3477
*. The mean difference is significant at the 0.05 level.

Table 2
Descriptives
Time
95% Confidence Interval for
Mean
Mean
Std. Deviation
Std. Error
Lower Bound
Upper Bound
Minimum
Maximum
Beginner
10
27.2000
3.04777
.96379
25.0198
29.3802
22.00
33.00
Intermediate
10
23.6000
3.30656
1.04563
21.2346
25.9654
18.00
29.00
Advanced
10
23.4000
3.23866
1.02415
21.0832
25.7168
18.00
29.00
Total
30
24.7333
3.56161
.65026
23.4034
26.0633
18.00
33.00

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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