a) If one wanted to calculate the SSTO from the data, the value of the overall m
ID: 3131935 • Letter: A
Question
a) If one wanted to calculate the SSTO from the data, the value of the overall mean needs to be determined. Using the above information, what is the value of the overall mean?
b) Because one of the brands (Brand B) is known to be popular among customers, it was decided before the data were gathered to compare this brand against the other three to see if it had a longer battery life. What would be appropriate null and alternative hypothesis to establish to do such a test?
Battery life of MP3 players is of great concern to customers. A con- sumer group has tested four brands of such players to determine the battery life. Samples of players of each brand were fully charged and left to run at medium volume until the battery died. The number of eft at medum volume until the battery die to run hours that each player ran was recorded. The following graphs and ta- bles from the analysis of the data are provided (note that some entries have been omitted and replaced with *): 34 32 30 28 26 24 24 20 1 18 16 Brand A Brand Brand CBrand D Brands Figure 1: Boxplot for Battery life of MP:3 oxplot ior Battery hie oExplanation / Answer
a. Brands(df)=k-1=4-1=3; Error (df)=n-k=54-4=50 SS(Brands)=650.295-543.273=107.022 MSE=SSE/n-k=543.273/50=10.865 F=MSTR/MSE=35.674/10.865=3.283 p value=0.028 (for 3 and 50 df).
b) H0: muA=muB=muC=muD
H1: At least one mean is different from the other.
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