SOLUTION: According to advertisement, a strain of soya beans planted on soil prepared with a specified fertilizer treatment has a mean yield of 500 bushels per acre fifty farmers plant the s

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Question 1159195: According to advertisement, a strain of soya beans planted on soil prepared with a specified fertilizer treatment has a mean yield of 500 bushels per acre fifty farmers plant the soya bean. The mean and variance for the sample of 50 farms are 485 and 10045. Does the data provide sufficient of evidence to indicate that the mean yield for soya bans is different from that advertised?
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
variance is 10045, sd is 100.22
Ho: mean is 500 bushels
Ha: it isn't
alpha=0.05 p{reject Ho|Ho true}
test is a t (0.975 df=49)
reject if |t|>2.01
t=(x bar- mean)/s/sqrt(n)
=(-15*sqrt(50)/100.22
=-1.06
fail to reject Ho and there is insufficient evidence to state that the mean yield is not 500 bushels/acre
p=0.295