Question

Soda Tak claims that Diet Tak has 40mg of sodium per can. You work for a consumer organization that tests such claims. You take a random sample of 60 cans and find that the mean amount of sodium in the sample is 42.4 mg. The population standard deviation in all cans is 5.2 mg. You suspect there is more than 40 mg of sodium per can. What is the z-score?

Answer 1

Answer:

-0.461

Step-by-step explanation:

By formula we know that z is equal to:

z = (x - m) / sd

of the statement we have the following information:

x is the reference value which is 40 mg

m = the sample mean is 42.4 mg,

sd = the standard deviation in all cans is 5.2 mg.

Replacing we have:

z = (40 - 42.4) /5.2

z = -0.461

Therefore the value of z is -0.461