Prices were recorded for all the loaves of bread in a supermarket, the mean price for a loaf of bread was $1.37 with a standard deviation of $0.67. find the probability that if 13 loaves are selected the mean price is less than $1.00.

The probability that if 13 loaves are selected the mean price is less than $1.00 is:

Step-by-step explanation:

Let's say that μ is the average price of the loaves.

μ is the population mean.  μ = $1.37

is the standard deviation and

Then we take a sample of size n = 13

Where

is the is the sample mean.

is the standard deviation of the sample

By definition:

We look for the probability that the mean of the sample is less than $ 1.00

This is:

Now we find the standard statistic standard Z.

By symmetry of the standard normal distribution:

Looking in the standard normal table we get

60 for the first and 130 for the second

step-by-step explanation: