A manufacturer claims that the mean amount of juice in its 16 ounce 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:
$ \mathrm{H}_{0}: \mu=16.1 $ ounces
$\mathrm{H}_{\mathrm{a}}: \mu

Question

A manufacturer claims that the mean amount of juice in its 16 ounce 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: 
$ \mathrm{H}_{0}: \mu=16.1 $ ounces
$\mathrm{H}_{\mathrm{a}}: \mu<16.1 \text { ounces }
$
 Suppose that the results of the sampling lead to rejection of the null hypothesis. Classify that conclusion as a Type I error, a Type II error, or a correct decision, if in fact the mean amount of juice, ?, is less than 16.1 ounces.
A) Type II error
B) Correct decision
C) Type I error

Quizplus · Accepted Answer

If the mean amount of juice is less than 16.1 ounces, and the null hypothesis is rejected, then the conclusion is a correct decision.

A Manufacturer Claims That the Mean Amount of Juice in Its