Group Statistics Std. Error gender N Mean Std. Deviation wt M 5004 209.9919465 10.00559438 Mean .1414439065 F 4996 210.0274454 10.10095335 .1429062262 Figure 4 wt Equal variances assumed Equal variances not assumed Independent Samples Test Levene's Test for Equality of Variances t-test for Equality of Means 95% Confidence Interval of the Difference F Sig. 1 др Sig. (2-tailed) .575 .448 -.177 9998 .860 Mean Difference -.0354989704 Std. Error Difference Lower 2010670400 -.4296308410 Upper .3586329002 -177 9996.772 .860 -.0354989704 2010685658 -.4296338379 .3586358971 Figure 5
Group Statistics Std. Error gender N Mean Std. Deviation wt M 5004 209.9919465 10.00559438 Mean .1414439065 F 4996 210.0274454 10.10095335 .1429062262 Figure 4 wt Equal variances assumed Equal variances not assumed Independent Samples Test Levene's Test for Equality of Variances t-test for Equality of Means 95% Confidence Interval of the Difference F Sig. 1 др Sig. (2-tailed) .575 .448 -.177 9998 .860 Mean Difference -.0354989704 Std. Error Difference Lower 2010670400 -.4296308410 Upper .3586329002 -177 9996.772 .860 -.0354989704 2010685658 -.4296338379 .3586358971 Figure 5
Group Statistics Std. Error gender N Mean Std. Deviation wt M 5004 209.9919465 10.00559438 Mean .1414439065 F 4996 210.0274454 10.10095335 .1429062262 Figure 4 wt Equal variances assumed Equal variances not assumed Independent Samples Test Levene's Test for Equality of Variances t-test for Equality of Means 95% Confidence Interval of the Difference F Sig. 1 др Sig. (2-tailed) .575 .448 -.177 9998 .860 Mean Difference -.0354989704 Std. Error Difference Lower 2010670400 -.4296308410 Upper .3586329002 -177 9996.772 .860 -.0354989704 2010685658 -.4296338379 .3586358971 Figure 5
1). The p-value for this test is . 072. Do we reject the null hypothesis? 2). Is there sufficient evidence to conclude that there is a statistically significant difference in mean weight between the different NYHA groups? 3). Pretend for a moment that the resulting p-value was 0.02. Do we reject the null hypothesis in this case? Why or why not? If we were to reject the null hypothesis, we would conclude that there is sufficient evidence to suggest a statistically significant difference in mean weight between the NYHA groups. The NYHA variable has four levels: would we know which of the four NYHA group means gave the statistically significant result?
Transcribed Image Text:Group Statistics
Std. Error
gender
N
Mean
Std. Deviation
wt
M
5004
209.9919465
10.00559438
Mean
.1414439065
F
4996
210.0274454
10.10095335
.1429062262
Figure 4
wt
Equal variances
assumed
Equal variances not
assumed
Independent Samples Test
Levene's Test for Equality of
Variances
t-test for Equality of Means
95% Confidence Interval of the
Difference
F
Sig.
1
др
Sig. (2-tailed)
.575
.448
-.177
9998
.860
Mean
Difference
-.0354989704
Std. Error
Difference
Lower
2010670400 -.4296308410
Upper
.3586329002
-177
9996.772
.860
-.0354989704
2010685658 -.4296338379 .3586358971
Figure 5
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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