Question

You are employed to check quality control at a company that bottles drinks. Cans of drink should contain 8.0 oz of drink. You remove a small random sample of cans and measure the actual amount of drink in them and find there is an average of 7.91 oz with a standard deviation of 0.17 oz. Which statistical test would be best to determine if the amount of drink in cans are signficantly less than the target 8.0 oz?

A) z-test
B) one-sample t-test
C) independent samples t-test
D) ANOVA

Answer 1

The best statistical test to determine if the amount of drink in cans is significantly less than the target 8.0 oz is a one-sample t-test.

Step-by-step explanation:

The best statistical test to determine if the amount of drink in cans is significantly less than the target 8.0 oz is a one-sample t-test. This test is appropriate when you have a single sample and want to compare its mean to a specific value.

In this case, the sample mean is 7.91 oz, and we want to compare it to the target mean of 8.0 oz. The standard deviation of the sample is 0.17 oz. The one-sample t-test will determine if the difference between the sample mean and target mean is statistically significant.

We use the one-sample t-test instead of the z-test because the population standard deviation (not known) is estimated using the sample standard deviation.

Therefore answer is A) z-test.