Answer:
As probability of that happening is very small; Yes, 33.6 is less than 35.6 grams because it provide strong evidence that the mean weight of the bags is lower than the 35.6 grams listed on the package.
Step-by-step explanation:
For a normal distribution Z-score
Given that :
the mean () = 35.6
standard deviation () = 5.2
sample size (n) = 35
standard error:
The probability that a random sample of 35 bags has a mean weight of 33.6 grams or less is :
P(X<33.6) = P(Z < - 2.28)
= 0.0114
Conclusion:
As probability of the happening is very small; Yes, 33.6 is less than 35.6 grams because it provide strong evidence that the mean weight of the bags is lower than the 35.6 grams listed on the package.