1. An article in Agricultural Engineering described an experiment in which the d

Question

1. An article in Agricultural Engineering described an experiment in which the daily weight gain of swine is evaluated at different levels of housing temperature and mean weight of swine. The data from this experiment are as follows: Mean Weight (lbs) Housing Air Temperature (F) 100 150 200 50 60 70 80 90 100 1.37 1.58 2.00 1.97 1.40 0.39 1.47 1.75 2.16 1.82 1.14 -0.19 1.19 1.91 2.22 1.67 0.88 -0.77 (a) Construct the ANOVA table. (Need to attach the Minitab printout as well) (b) Test whether there is any difference in weight gain due to housing air temperature level. =0.05 (c) Test whether there is any difference in weight gain due to mean weight level of swine. =0.05 (d) Estimate the variance of the error

Explanation / Answer

a) the required output is given below

Mean Weight 3 levels)

b) the p.value for  Housing Air Temperature is 0.000016 which is much less then 0.05 therefore we conclude that there is significant difference in weight gain due to housing air temperature.

c)the p.value for  weight gain is 0.272943 which is much greater then 0.05 therefore we conclude that there is significant difference in housing air temperature due to weight gain.

d} Variance of error is 0.075092.

Source df SS MSS F P.Value Housing Air Temperature (6 levels) 5 10.18518 2.037036 27.12712 0.000016

Mean Weight 3 levels)

2 0.222678 0.111339 1.482695 0.272943 Error 10 0.750922 0.075092 Total 17 11.15878

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