EXSC 520
CASE STUDY: T-TEST COMPARING MEANS FROM TWO SETS OF DATA
TEMPLATEINDEPENDENT t-Test
Research question “is there a statistical difference for mean heart rate between
participants either exposed to a hot (Group 1) - or cold environment (Group 2)?”
Assumptions Testing
1. Data level of measurement- what was the level of measurement for the variables used in
this case study?
The data level measurement for data used in this case is nominal.
2. Would the amount of skewness and kurtosis in these variables affect the analysis? How
do you know? Give numerical values to support your conclusion.
For the amount of skewness or kurtosis to affect the analysis, the number must be below
-1.96 or above 1.96. Any value that comes between these two numbers is indicative of
the lack of skewness or kurtosis. The skewness for Mean HR with Standard Treatment
(Hot) was at a calculated value of -.332 with a kurtosis of calculated value of .216 The
skewness for Mean HR with New Treatment (Cold) was at a calculated value of .312
with a kurtosis of calculated value of -.679.Both of these values fall in acceptable range,
so there is neither skewness or kurtosis for the mean heart rate.
Table 1. PASTE TABLE with skewness and kurtosis BELOW
Descriptiv
es
Grouping_V
ariable Statistic Std. Error
Mean_Heart Standard Mean 143.30 6.551
_Rate Treatment
95% Lower 128.48
Confidence Bound
Interval for
Mean Upper 158.12
Bound
5% Trimmed 143.33
Mean
Median 145.50
Variance 429.122
Page 1 of 15
, EXSC 520
Std. 20.715
Deviation
Minimum 108
Maximum 178
Range 70
Interquartile 27
Range
Skewness -.332 .687
Kurtosis .216 1.334
New Mean 140.20 6.867
Treatment
95% Lower 124.67
Confidence Bound
Interval for
Mean Upper 155.73
Bound
5% Trimmed 139.61
Mean
Median 139.50
Variance 471.511
Std. 21.714
Deviation
Minimum 114
Maximum 177
Range 63
Interquartile 41
Range
Skewness .312 .687
Kurtosis -.679 1.334
Page 2 of 15
CASE STUDY: T-TEST COMPARING MEANS FROM TWO SETS OF DATA
TEMPLATEINDEPENDENT t-Test
Research question “is there a statistical difference for mean heart rate between
participants either exposed to a hot (Group 1) - or cold environment (Group 2)?”
Assumptions Testing
1. Data level of measurement- what was the level of measurement for the variables used in
this case study?
The data level measurement for data used in this case is nominal.
2. Would the amount of skewness and kurtosis in these variables affect the analysis? How
do you know? Give numerical values to support your conclusion.
For the amount of skewness or kurtosis to affect the analysis, the number must be below
-1.96 or above 1.96. Any value that comes between these two numbers is indicative of
the lack of skewness or kurtosis. The skewness for Mean HR with Standard Treatment
(Hot) was at a calculated value of -.332 with a kurtosis of calculated value of .216 The
skewness for Mean HR with New Treatment (Cold) was at a calculated value of .312
with a kurtosis of calculated value of -.679.Both of these values fall in acceptable range,
so there is neither skewness or kurtosis for the mean heart rate.
Table 1. PASTE TABLE with skewness and kurtosis BELOW
Descriptiv
es
Grouping_V
ariable Statistic Std. Error
Mean_Heart Standard Mean 143.30 6.551
_Rate Treatment
95% Lower 128.48
Confidence Bound
Interval for
Mean Upper 158.12
Bound
5% Trimmed 143.33
Mean
Median 145.50
Variance 429.122
Page 1 of 15
, EXSC 520
Std. 20.715
Deviation
Minimum 108
Maximum 178
Range 70
Interquartile 27
Range
Skewness -.332 .687
Kurtosis .216 1.334
New Mean 140.20 6.867
Treatment
95% Lower 124.67
Confidence Bound
Interval for
Mean Upper 155.73
Bound
5% Trimmed 139.61
Mean
Median 139.50
Variance 471.511
Std. 21.714
Deviation
Minimum 114
Maximum 177
Range 63
Interquartile 41
Range
Skewness .312 .687
Kurtosis -.679 1.334
Page 2 of 15
