Identify the Type I error or Type II error as indicated.
-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:

$$\begin{array} { l }
\mathrm { H } _ { 0 } : \mu = 16.1 \text { ounces } \
\mathrm { H } _ { \mathrm { a } } : \mu

Question

Identify the Type I error or Type II error as indicated.
-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:

$$\begin{array} { l } 
\mathrm { H } _ { 0 } : \mu = 16.1 \text { ounces } \
\mathrm { H } _ { \mathrm { a } } : \mu < 16.1 \text { ounces }
\end{array}$$
Identify the Type I error.
A)Reject the claim that mean amount is 16.1 ounces when in fact the mean amount is less than 16.1 ounces.
B)Fail to reject the claim that mean amount is 16.1 ounces when in fact the mean amount is less than 16.1 ounces.
C)Reject the claim that mean amount is 16.1 ounces when in fact the mean amount is 16.1 ounces.
D)Fail to reject the claim that mean amount is 16.1 ounces when in fact the mean amount is 16.1 ounces.

Quizplus · Accepted Answer

A Type I error occurs when the null hypothesis ($H_0$) is rejected when it is actually true. In this scenario, rejecting the claim that the mean amount is 16.1 ounces when it is indeed 16.1 ounces represents a Type I error.

Identify the Type I Error or Type II Error as Indicated