A manufacturer claims that the mean amount of juice in its

16ounce

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:=16.1ounces

Ha:<16.1ounces

where

is the mean amount of juice in the manufacturer's

16ounce

bottles

Explain the meaning of a Type I error.

A.

A Type I error would occur if, in fact,

<16.1

ounces, but the results of the sampling fail to lead to that conclusion.

B.

A Type I error would occur if, in fact,

=16.1

ounces, but the results of the sampling do not lead to rejection of that fact.

C.

A Type I error would occur if, in fact,

=16.1

ounces, but the results of the sampling lead to the conclusion that

<16.1

ounces.

D.

A Type I error would occur if, in fact,

<16.1

ounces, but the results of the sampling lead to the conclusion that

>16.1

ounces.