Question

3. ZipCal makes a flavored cola with a mean weight of 10 oz & a standard deviation of 0.4 oz. Assume a normal distribution. a. If a can of cola is randomly selected, what if the probability that it weighs less than 10.3 oz? b. If 15 cans are randomly selected, what is the probability that the mean weight is less than 10.3 oz? c. Why is the sample size in (b) not a problem?

          3.
ZipCal makes a flavored cola with a mean weight of 10 oz & a standard deviation of 0.4 oz.
Assume a normal distribution.
a.
If a can of cola is randomly selected, what if the probability that it weighs less than 10.3
oz?
b.
If 15 cans are randomly selected, what is the probability that the mean weight is less
than 10.3 oz?
c.
Why is the sample size in (b) not a problem?

3.
ZipCal makes a flavored cola with a mean weight of 10 oz a standard deviation of 0.4 oz.
Assume a normal distribution.
a.
If a can of cola is randomly selected, what if the probability that it weighs less than 10.3
oz?
b.
If 15 cans are randomly selected, what is the probability that the mean weight is less
than 10.3 oz?
c.
Why is the sample size in (b) not a problem?

Added by Oscar W.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Adi S

06/18/2023

Step 1

3 oz, we can use the z-score formula: \[ z = \frac{x - \mu}{\sigma} \] where x is the value we're interested in (10.3 oz), μ is the mean (10 oz), and σ is the standard deviation (0.4 oz). Show more…

Show all steps

Thanks for your feedback!

Please explain and show work. ZipCal makes a flavored cola with a mean weight of 10 oz and a standard deviation of 0.4 oz. Assume a normal distribution. If a can of cola is randomly selected, what is the probability that it weighs less than 10.3 oz? If 15 cans are randomly selected, what is the probability that the mean weight is less than 10.3 oz? Why is the sample size in (b) not a problem?