In: Statistics and Probability
Suppose you own a factory. You want to determine whether the level of illumination on the assembly line affects worker productivity. One day, you have one group of 5 employees work under very dim lighting, a second group of 5 employees work under a moderate level of light, and a third group of 5 employees work under very bright lights. The mean productivity (number of units assembled) for the low light group was 56; for the moderate light group, 68; for the bright light group, 60.
a) Conduct a Tukey’s HSD test to test the differences between all possible pairs of sample means at the .05 level of significance and complete the following table.
b) What is the value of QCRIT?
c) Which pairs of sample means are significantly different?
Comparison |
l x̄ - x̄ l |
Q |
Low – Moderate |
||
Moderate – Bright |
||
Low – Bright |
ANSWER::
a)
b)
c)
Low-Moderate pairs of sample means are significantlu different due to the mean difference is greater than critical value of Tukey HSD which is 11.93 which is 12 from part (a)
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