Question

You conduct a study to determine the impact that varying the amount of noise in an office has on worker productivity (0 – 25). You obtain the following productivity scores:

Low Noise	Medium Noise	Loud Noise
15 19 13 13	13 11 14 10	12 9 7 8

For each condition, determine the sample mean and the sample (unbiased) standard deviation. Report the means and standard deviations in a bar graph (include the whiskers on the bars). Write an interpretation of these data including the means and standard deviation.

Answer 1

Given that the impact that varying the amount of noise in an office has on worker productivity (0 - 25).

low noise	medium noise	loud noise
15	13	12
19	11	9
13	14	7
13	10	8

Here we have to find sample mean for all three conditions:

Sample mean of low noise:

Sample mean of medium noise:

Sample mean of loud noise:

summary statistics of low noise level:

Low level
Mean	15
Standard Error	1.414214
Median	14
Mode	13
Standard Deviation	2.828427
Sample Variance	8
Kurtosis	1.5
Skewness	1.414214
Range	6
Minimum	13
Maximum	19
Sum	60
Count	4

summary statistics of medium noise:

Medium Noise
Mean	12
Standard Error	0.912871
Median	12
Mode	#N/A
Standard Deviation	1.825742
Sample Variance	3.333333
Kurtosis	-3.3
Skewness	0
Range	4
Minimum	10
Maximum	14
Sum	48
Count	4

summary statistics of loud noise:

Loud Noise
Mean	9
Standard Error	1.080123
Median	8.5
Mode	#N/A
Standard Deviation	2.160247
Sample Variance	4.666667
Kurtosis	1.5
Skewness	1.19034
Range	5
Minimum	7
Maximum	12
Sum	36
Count	4

Bar graph of mean and standard deviation:

As the noise level increases from low to loud, productivity of workers tends to decrease from average of 15 then 12 and at last 9,