(a)

Average protein content of certain brand of energy bar is .

Standard deviation is .

Find the probability that bar will have more than grams of protein.

The probability is .

Find the corresponding -values for .

.

.

Find the probability.

Using score table:

The area for is .

.

Probability that bar will have more than grams of protein is .

(b)

Sample of bars are selected then sample size is .

Standard error of mean is .

The probability is .

Substitute and in the formula.

Find the -value for the new Standard error of mean.

.

Find the probability.

Using score table:

The area for is .

.

Probability that visiting tourists fewer than for a sample size of is .

(a) Probability that visiting tourists fewer than is .

(b) Probability that visiting tourists fewer than for a sample size of is .