SOLUTION: Rutter Nursey Company packages its pine bark mulch in 50-pound bags. From a long history, distribution follows a normal distribution with the standard deviation of 3 pounds per b

Question 1158339: Rutter Nursey Company packages its pine bark mulch in 50-pound bags. From a long history, distribution follows a normal distribution with the standard deviation of 3 pounds per bag. A sample of 10 bags found the mean being 48.18 pounds. Can Ms. Rutter conclude the mean weight of the bags is less than 50 pounds? Use the .05 significance level.
a. Which distribution are you using?
b. State the hypotheses
c. Find the critical value(s)
d. Compute the test statistic.
e. Given c and d, state your decision
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
Ho:mean is >=50 lb
Ha: mean is < 50 lb
alpha=0.05 P{reject Ho|Ho true}
test stat is a t(0.975 df=9)
critical value is t<-1.833
calculation (x bar-mean)/s/sqrt (n)=t
t=-1.82/3/sqrt(10)
=-1.92
reject Ho
conclude that the mean weight of the bags is <50 lb.
p-value is 0.04

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