Precalculus 2014
19

 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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