The sample with sample mean 990g is likely to provide the
least evidence to reject
0
H
as the sample mean is not that
far.
The sample with sample mean 1030g providing the
strongest evidence to reject
H
0
has the smallest
p
-value.
However the sample with sample mean 990g providing the
least evidence to reject
H
0
has the largest
p
-value.
0
H
:
= 1000
H
1
:
>
1000
Important note: we calculate
GREATER than sample mean value in
this exercise because the alternative
hypothesis is that the mean mass is
more than 1000 g.
Recall that the more extreme the value
of the sample mean, that is the value
being larger than 1000, the more
evidence we have to support the
alternative hypothesis.
Note that in this case, the
p
-value is
smallest for the sample that provides
the strongest evidence to reject
H
0
.
Annex A
–
GC Keystrokes for the Examples
Example 8.2 :
choose 1: Z-Test.
Select and enter as shown.
Select Calculate and press
.

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