A consumer product testing organization wished to compare the annual power consu

ID: 2909135 • Letter: A

Question

A consumer product testing organization wished to compare the annual power consumption for five different brands of dehumidifier. Because power consumption depends on the prevailing humidity level, it was decided to monitor each brand at four different levels (blocks) ranging from moderate to heavy humidity. Brands were randomly assigned to each humidity level and resulting power consumption (annual kWh) was measured. All assumptions have been met. 1. The power consumption data from this experiment resulted in the following sums of squares: SStreatment 53231.00, SSBlocks 116217.75 and SSError 1671.00. Construct the ANOVA table and test at the.05 level to see whether power consumption depends on the brand of dehumidifier A. B. Judging from the ANOVA table values for the blocking factor, do you think that blocking on humidity was effective in this experiment?Explain

Explanation / Answer

Source of Variation

P-value

F crit

SSTreatment(brands)

53231

13307.75

95.56732

5.41935E-09

3.259167

SSBlocks(humidlevel)

116217.8

38739.25

278.1993

2.36388E-11

3.490295

SSError

1671

139.25

SSTotal

171119.8

part A: based anova table we conclude that test at the 0.05 level to see power consumption depends on the brand of dehumidifier.

F.cal > F.alpha and p-value < alpha

Part B: blocking factor are also singnificant

F>F.alpha and P-value < 0.05.