hypothesis testing problems.
15 questions.
Microsoft word document:(10 points)
10 points will be awarded based on: following the instructions, quality, clarity, completeness, detailed calculations, and neatness of your typed MS document.
Problem:
Solve the problem using EXCEL. Please also submit your EXCEL output with your answers. (18 points)
A manufacturing company produces electric insulators. If insulation breaks when it is in use, a short circuit is likely to occur. To test the strength of insulators, destructive testing is carried out to determine how much force is required to break the insulator. Force is measured by observing the number of pounds of force applied to the insulator before it breaks. The following dada are from 30 insulators subject to this testing.
1810
1762
1734
1522
1870
1752
1866
1662
1696
1728
1680
1820
1734
1592
1656
1810
1744
1774
1662
1610
1652
1788
1550
1866
1634
1736
1688
1756
1764
1784
a. At the 0.05 level of significance, is there any evidence that the population mean force is equal to 1750 lbs.? (24 points)
Use 5-step P-Value approach to answer and write all steps in detail.
1.State the appropriate null and alternative hypotheses (4 points)
H0:
H1:
2. Specify the desired level of significance (2 points)
a =
3. Determine if it’s lower-tail, upper-tail or two tail test (3 points)
4. Compute the p-value (4 points)
>span class=”bumpedFont15″>p-value =
5. (i) State the Statistical Decision (4 points)
(ii) State the managerial conclusion in the context of the situation (7 points)
b. At the 0.05 level of significance, is there any evidence >span class=”bumpedFont15″>equal 1750 lbs.? (24 points)
Use 5-step P-Value approach to answer and write all steps in detail.
1.State the appropriate null and alternative hypotheses (4 points)
H0:
H1:
2. Specify the desired level of significance (2 points)
a =
3. Determine if it’s lower-tail, upper-tail or two tail test (3 points)
4. Compute the p-value (4 points)
>span class=”bumpedFont15″>p-value =
5. (i) State the Statistical Decision (4 points)
(ii) State the managerial conclusion in the context of the situation (7 points)
c. At the 0.05 level of significance, is there any evidence that the population mean force is at least equal 1750 lbs.? (24 points)
Use 5-step P-Value approach to answer and write all steps in detail.
1.State the appropriate null and alternative hypotheses(4 points)
H0:
H1:
2. Specify the desired level of significance (2 points)
a =
3. Determine if it’s lower-tail, upper-tail or two tail test (3 points)
4. Compute the p-value (4 points)
>span class=”bumpedFont15″>p-value =
5. (i) State the Statistical Decision (4 points)
(ii) State the managerial conclusion in the context of the situation (7 points)
