. Suppose you own a factory. You want to determine whether the level of illumination on the assembly...

. 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. (5 pts)

a) State the appropriate null and alternative hypotheses (1 pt)

b) Complete the following source table describing the results of an ANOVA testing the significance of the difference between the sample means for α = .05. (3.5 pts)

Source	df	SS	MS	F
Between		124.8
Within		189.8
Total

c) What is the critical value of F? (1 pt)

d) On the basis of these results, would you reject or fail to reject H₀? (1/2 pt)

e) What does this mean in terms of the alternative hypothesis? (1 pt)

f) 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. (3 pts)

Comparison		Q
Low – Moderate
Moderate – Bright
Low – Bright

g) What is the value of Q_CRIT? (1 pt)

h) Which pairs of sample means are significantly different? (1 pt)

Solutions

Expert Solution

orchestra answered 1 year ago

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