a)The F test compared the variances. It tested the null hypothesis that the variances were equal and differences in the variances. What was the P value for your F?b) does this mean that you reject or fail to reject the assumption of equal variances?c) remember, a t-test compares the means of the two samples, state the null hypothesis for your t test. Epstein Sec. 00Cumulative10 min10 minIn Dark #In Dark # in DarkData SetsMean1.002.00PIII Bug6.00BinFrequency8.008.008.008.007.005.007.008.004.006.006.008.008.007.008.009.0010.001.000.000.000.000.001.003.004.008.008.006.007.005.002.003.00Response to Light5.006.004.0010.005.005.007.008.0010.006.004.007.008.000.009.0010.007.009.008.005.006.004.005.006.0010.004.008.0010.00More3.00Frequency9.009.0010.0011.006.004.0012.009.004.000.00Hin dark at 10min6.007.00More6.0010.008.0013.006.007.0014.0015.0016.0010.007.00Sow Bug8.009.006.00Bin9.009.008.004.007.007.00Frequency8.007.008.001.000.0017.0018.009.008.004.002.000.00Response to Light3.000.0019.0020.009.004.002.007.007.0010.005.000.0010.005.006.001.004.0021.0022.0023.0024.006.0010.0010.005.007.009.009.008.002.7661.6639.004.008.001.002.006.007.008.007.0010.00MoreFrequency9.008.006.009.009.004.00VarianceSt Dev2.1451.46510.00#in dark at 10min2.00Moree0.00F-Test Two-Sample for Variancest-Test: Two-Sample Assuming Equal VariancesMeanVarieble 1Vanieble 27.83Variable 1Variable 27.38VarianceObservationsdfMeanVariance2.142.777.837.382.142.7724.0023.0024.00ObservationsPooled VarianeHypothesizeddf23.0024.0024.002.46P(F

Solution: Given information: n1= 24 Sample size of variable 1 n2= 24 Sample size of variable…

Answered: a)The F test compared the variances. It…

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

a)The F test compared the variances. It tested the null hypothesis that the variances were equal and differences in the variances. What was the P value for your F? b) does this mean that you reject or fail to reject the assumption of equal variances? c) remember, a t-test compares the means of the two samples, state the null hypothesis for your t test.

Epstein Sec. 00
Cumulative
10 min
10 min
In Dark #In Dark # in Dark
Data Sets
Mean
1.00
2.00
PIII Bug
6.00
Bin
Frequency
8.00
8.00
8.00
8.00
7.00
5.00
7.00
8.00
4.00
6.00
6.00
8.00
8.00
7.00
8.00
9.00
10.00
1.00
0.00
0.00
0.00
0.00
1.00
3.00
4.00
8.00
8.00
6.00
7.00
5.00
2.00
3.00
Response to Light
5.00
6.00
4.00
10.00
5.00
5.00
7.00
8.00
10.00
6.00
4.00
7.00
8.00
0.00
9.00
10.00
7.00
9.00
8.00
5.00
6.00
4.00
5.00
6.00
10.00
4.00
8.00
10.00
More
3.00
Frequency
9.00
9.00
10.00
11.00
6.00
4.00
12.00
9.00
4.00
0.00
Hin dark at 10min
6.00
7.00
More
6.00
10.00
8.00
13.00
6.00
7.00
14.00
15.00
16.00
10.00
7.00
Sow Bug
8.00
9.00
6.00
Bin
9.00
9.00
8.00
4.00
7.00
7.00
Frequency
8.00
7.00
8.00
1.00
0.00
17.00
18.00
9.00
8.00
4.00
2.00
0.00
Response to Light
3.00
0.00
19.00
20.00
9.00
4.00
2.00
7.00
7.00
10.00
5.00
0.00
10.00
5.00
6.00
1.00
4.00
21.00
22.00
23.00
24.00
6.00
10.00
10.00
5.00
7.00
9.00
9.00
8.00
2.766
1.663
9.00
4.00
8.00
1.00
2.00
6.00
7.00
8.00
7.00
10.00
More
Frequency
9.00
8.00
6.00
9.00
9.00
4.00
Variance
St Dev
2.145
1.465
10.00
#in dark at 10min
2.00
More
e
0.00
F-Test Two-Sample for Variances
t-Test: Two-Sample Assuming Equal Variances
Mean
Varieble 1
Vanieble 2
7.83
Variable 1
Variable 2
7.38
Variance
Observations
df
Mean
Variance
2.14
2.77
7.83
7.38
2.14
2.77
24.00
23.00
24.00
Observations
Pooled Variane
Hypothesized
df
23.00
24.00
24.00
2.46
P(F<f) one-tail
F Cntical one-tail
0.78
0.27
0.00
46.00
0.50
t Stat
1.01
P(T<t) one-ta
0.16
t Critical one-ti
P(T<t) two-ta
t Critical two-ta
1.68
0.32
2.01
to search
75°F
1.00
2.00
7.00
8.00
3.00
4.00
5.00
8.00
%23

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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