# Question: the amount of pyridoxine in grams per multiple vitamin tablet...

###### Question details

The amount of pyridoxine (in grams) per multiple vitamin tablet from SKG

Pharmaceuticals,

is normally distributed with a mean of 90 grams and a standard deviation of 18 grams. A sample of 16 of these vitamin tablets is selected and the amount of pyridoxine per tablet is recorded.
Calculate the probability that the average weight of pyridoxine in the sampled vitamin tablets will be greater than 100 grams. Please answer the following parts (a) and (b).

(a) For X = amount of pyridoxine (grams), which of the following statements correctly summarises this question?

P(Z>100) where Z ~ N(90, 18)

P(X>100)

where
X

~ N(90, 18)
P(X>100)

where
X

~ N(90,
18/16)

P(X>100) where X~N(90,

18/16)

(b) Now, calculate the probability that the average weight of pyridoxine in the sampled vitamin tablets will be greater than 100 grams.
State your answer correct to 4 decimal places.

The answer is

.