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| PAGE: 722 | SET: Select | PROBLEM: 19 |
Alexi claims that she ca throw a football atleast 
yards.
Average distance is 
.
Here claim is 
.
This is the claim of null type of hypothesis since it includes an equality symbol.
The complement is 
.
Hypothesis are 
(Claim) and 
.
Find the critical values and region.
After 
throws, Sample mean is 
.
Standard deviation 
and significance is called for 
.
delivery times has randomly selected.
Here 
, use normal distribution.
Critical region is depends on sign of the alternative hypothesis.
Therefore the test is left tailed since alternative hypothesis is 
.
By using the graphing calculator find the 
value.
Using calculator 
.
Critical region is 
.
Calculate the test statistic.
Find statistic value.
The value of 
The value of 
.
Substitute and 
.
Substitute 
and and 
in .
Reject or fail to reject the null hypothesis.
is not rejected since test statistic does not fall with in the critical region.
Therefore, there is no evidence to reject the claim of .
The value of 
.
There is no evidence to reject the claim of .
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