The deseasonalized trend line below generated from sales data over the past 3 ye

Question

The deseasonalized trend line below generated from sales data over the past 3 years (12 qtrs) is: y = 900 - 2. 5t where t = time (quarter) Assuming seasonal indices for the 4 qtrs are 0.80, 110, 1.15, and 0 95, respective, forecast the seasonalized sales for the 1st and 2nd quarters of year 4. A completely randomized ANOVA test on 3 treatments, each with 10 observations, has found that the treatment means are not equal. If the respective treatment means are 26.6, 18.8, and 30.2, apply Fisher's LSD procedure to determine which treatment means are not equal. Assume the LSD value has been calculated to be 8.1.

Explanation / Answer

Q-3

For first quarter of t=4, seasonalized sales Y=900-2.5*4+0.80=890.80

For second quarter of t=4, seasonalized sales Y=900-2.5*4+1.10=891.10

Q-4

Mean difference of treatment 1-treament 2= 26.6-18.8=7.8

Mean difference of treatment 1-treament 3= 26.6-30.2=-3.6

Mean difference of treatment 2-treament 3= 18.8-30.2=-11.4

As absolute value of only the mean of difference treatment 2- treatment 3 is greater than 8.1, so these pairs of treamtnet differ significantly while other two pairs do not.

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