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

$Z = \frac{X-\mu}{\sigma}$

Given that :

the mean ( $\mu$ ) = 35.6

standard deviation ( $\sigma$ ) = 5.2

sample size (n) = 35

standard error: $\sigma_x = \frac{\sigma}{\sqrt{n}}$

$\sigma_x = \frac{5.2}{\sqrt{35}}$

$\sigma_x = 0.879$

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.

7 0

4 years ago

Can someone help me please ?

Oliga [24]

I think that it might be "c" but I am not sure but hey it is worth a shot sorry if I am wrong!

7 0

3 years ago