Question

You have just taken ownership of a pizza shop. The previous owner told you that you would save money if you bought the mozzarella cheese in a 4.5 pound slab. Each time you purchase a slab of cheese, you weigh it to ensure that you are receiving 72 ounces of cheese. The results of 7 random measurements are 70, 69, 73, 68, 71, 69 and 71 ounces. Are these differences due to chance or is the distributor giving you less cheese than you deserve?

Answer 1

To determine if the distributor is giving you less cheese than you deserve, perform a one-sample t-test with a null hypothesis of the mean weight being 72 ounces.

Calculate the test statistic and compare it to the critical value. If the test statistic falls within the rejection region, the distributor is giving you less cheese.

Step-by-step explanation:

The question is asking whether the differences in weight measurements of the mozzarella cheese are due to chance or if the distributor is giving you less cheese. In order to determine this, we need to perform a hypothesis test.

We will assume that the distributor is giving you a 4.5 pound (72 ounce) slab of cheese, and then compare the measured weights to this assumed value.

To perform the hypothesis test, we will use a one-sample t-test. The null hypothesis is that the mean weight of the cheese is 72 ounces, while the alternative hypothesis is that the mean weight is less than 72 ounces.

We will calculate the test statistic, compare it to the critical value, and then make a decision based on the results.

Based on the given measurements of 70, 69, 73, 68, 71, 69 and 71 ounces, we can calculate the mean weight and the standard deviation.

Then, using these values, we can calculate the test statistic. If the test statistic falls within the rejection region, we can conclude that the distributor is giving you less cheese than you deserve.