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Answer:
There is no sufficient evidence to support the claim that men and women differ in repeatability for this assembly task
Step-by-step explanation:
Given
Let subscript 1 represent men and 2 represent women, respectively.
Required
Determine if here is enough evidence
First, we need to state the hypotheses
Next, calculate the test statistic using:
Calculate the rejection region;
But first, calculate the degrees of freedom
Using the F Distribution: table
At 0.01 level (check row 20 and column 24), the critical value is:
<em></em><em> --- the upper bound</em>
At 0.01 level (check row 24 and column 20), the critical value is:
Calculate the inverse F distribution.
---- the lower bound
The rejection region is then represented as:
If the test statistic falls within this region, then the null hypothesis is rejected
--- Test Statistic
<em>The above inequality is true; so, the null hypothesis is rejected.</em>
<em>This implies that, there is no sufficient evidence.</em>