For the given hypothesis test, explain the meaning of a Type I error or a Type I
ID: 3310550 • Letter: F
Question
For the given hypothesis test, explain the meaning of a Type I error or a Type II error, as specified.
A manufacturer claims that the mean amount of juice in its bottles is 16.1 ounces. A consumer advocacy group wants to perform a hypothesis test to determine whether the mean amount is actually less than this. The hypotheses are: H0: = 16.1 ounces HA: < 16.1 ounces Explain the result of a Type I error.
a)
The advocacy group will conclude that the mean amount of juice is 16.1 ounces when in fact it is 16.1 ounces.Explanation / Answer
Type I error occurs when the null hypothesis is rejected even when it is true, therefore here the type I error would mean that we will conclude that the mean is less than 16.1 ounces even when in fact it is 16.1 ounces. Therefore c) The advocacy group will conclude that the mean amount of juice is less than 16.1 ounces when in fact it is 16.1 ounces. is the correct answer here.