Answer:
Step-by-step explanation:
Given that an automatic machine is set to fill bags of dog food with exactly 25 pounds on average with a standard deviation of 0.5 pounds.
Sample size = n =100
x bar = 24.85 pounds
Sample std error = [tex]\frac{\sigma}{\sqrt{n} } =0.05[/tex]
Hypotheses:
[tex]H_0: x bar = 25\\H_a: x bar \neq 25[/tex]
(Two tailed test at 5% level)
Mean difference =0.15
Test statistic = mean diff/se = 3
Since population std dev is known z test can be used
p value =0.0000
Since p <0.05 we find that the bag does not contain exactly 25 pounds.
