The mean math achievement score for the boys is 51.29. The mean math achievement score for girls is 50.45. What might you conclude about the means? 1. Mean math achievement for boys is higher than that of girls2. Mean math achievement for girls is higher than that of boys3. The numbers are not different, statistically speaking From these results, what might you conclude? 1. Boys are better at math than girls2. Girls are better at math than boys3. Boys and girls do not differ in their math achievement Group StatisticsStd. ErrorGenderNMeanStd. DeviationMeanMath AchievementMale44351.290612.72363.60452Female55650.446911.91780.50543Independent Samples TestLevene's Test for Equality ofVariancest-test for Equality of Means95% Confidence Interval of theSignificanceDifferenceMeanDifferenceStd. ErrorFSig.tdfOne-Sided pTwo-Sided pDifferenceLowerUpperMath AchievementEqual variances2.493.1151.079997.140.281.8437678216-.691112.37864assumedEqual variances not1.071918.491.142.285.84376.78797-.702672.39020assumedIndependent Samples Effect Sizes95% Confidence IntervalPointStandardizeraEstimateLowerUpperMath AchievementCohen's d12.28157.069-.056.194Hedges' correction12.29082.069-.056.193Glass's delta11.91780.071-.054.196a. The denominator used in estimating the effect sizes.Cohen's d uses the pooled standard deviation.Hedges' correction uses the pooled standard deviation, plus a correction factor.Glass's delta uses the sample standard deviation of the control group.

In the given output, the test output for the following hypothesis is given.…

Answered: The mean math achievement score for the…

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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The mean math achievement score for the boys is 51.29. The mean math achievement score for girls is 50.45. What might you conclude about the means?

1. Mean math achievement for boys is higher than that of girls

2. Mean math achievement for girls is higher than that of boys

3. The numbers are not different, statistically speaking

From these results, what might you conclude?

1. Boys are better at math than girls

2. Girls are better at math than boys

3. Boys and girls do not differ in their math achievement

Group Statistics
Std. Error
Gender
N
Mean
Std. Deviation
Mean
Math Achievement
Male
443
51.2906
12.72363
.60452
Female
556
50.4469
11.91780
.50543
Independent Samples Test
Levene's Test for Equality of
Variances
t-test for Equality of Means
95% Confidence Interval of the
Significance
Difference
Mean
Difference
Std. Error
F
Sig.
t
df
One-Sided p
Two-Sided p
Difference
Lower
Upper
Math Achievement
Equal variances
2.493
.115
1.079
997
.140
.281
.84376
78216
-.69111
2.37864
assumed
Equal variances not
1.071
918.491
.142
.285
.84376
.78797
-.70267
2.39020
assumed
Independent Samples Effect Sizes
95% Confidence Interval
Point
Standardizera
Estimate
Lower
Upper
Math Achievement
Cohen's d
12.28157
.069
-.056
.194
Hedges' correction
12.29082
.069
-.056
.193
Glass's delta
11.91780
.071
-.054
.196
a. The denominator used in estimating the effect sizes.
Cohen's d uses the pooled standard deviation.
Hedges' correction uses the pooled standard deviation, plus a correction factor.
Glass's delta uses the sample standard deviation of the control group.

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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