Answer:
Correct option: B) Yes, comparing the test value 42.75 and the critical value 36.191.
Step-by-step explanation:
A hypothesis test is conducted to determine whether the consistency of a lab technician has a standard deviation greater than 1.2.
Then the variance will be,
The hypothesis to determine whether the population variance is greater than 1.44 is:
<em>H</em>₀: The population variance is not less than 25.0 minutes, i.e. <em>σ²</em> ≤ 1.44.
<em>Hₐ</em>: The population variance is less than 25.0 minutes, i.e. <em>σ²</em> > 1.44.
Given:
<em>n</em> = 20
<em>s</em> = 1.8
The test statistics is:
<u>Decision rule:</u>
If the calculated value of the test statistic is greater than the critical value, then the null hypothesis will be rejected.
Compute the critical value as follows:
*Use a chi-square table.
The test statistic.
Thus, the null hypothesis is rejected at 1% level of significance.
<u>Conclusion:</u>
The consistency of a lab technician has a standard deviation greater than 1.2.
The correct option is (B).