please help me answer all parts! 12.2.23-T Question Help * A company manufacture

Question

please help me answer all parts!

12.2.23-T Question Help * A company manufactures and ships four different products. Breakage cost is expensive, and the company would like to select a mode of delivery (rail, plane, or truck) that reduces the amount of breakage. The company decided to examine the dollar amount of breakage incurred by the three modes of transportation. In order to control for fragility differences due to type of product, the company randomly assigns each product to each carrier and monitors the dollar breakage that occurs over the course of 100 shipments. The dollar breakage per shipment (to the nearest dollar) is shown in the accompanying table. Complete parts a and b. Click the icon to view the data. a. Was the company correct in its decision to block for type of product? Conduct the appropriate hypothesis test using a level of significance of 0.10. Determine the nul and alternative hypotheses for this test. Choose the correct answer below. O B. Ho. At least two populations have different means HA All means are unequal (blocking is effective) HA HRail HPlane Truck HA: Not all means are equal HA: At least two populations have different means 0 D. Ho : Mprod 1-Mprod2-prod3-Mprod4 (blocking is effective) HA Not all means are equal (blocking is effective) Ho: Not all means are equal (blocking is effective) 0 E, What is the F-test statistic for this test? F = | | (Round to two decimal places as needed.)

Explanation / Answer

applying rwo way ANVOA on above data:

here F test statistic = 0.13

F crtiical value =3.29

the test statistic is less than the critical value so fail to reject the null hypothesis. there is insufficient evidence to .

for carrier type:

here F test statistic = 0.09

F crtiical value =3.46

the test statistic is less than the critical value so fail to reject the null hypothesis. there is insufficient evidence to .

Source of Variation SS df MS F F crit Rows 925930.92 3 308643.64 0.13 3.29 Columns 446642.00 2 223321.00 0.09 3.46 Error 14810241.33 6 2468373.56 Total 16182814.25 11

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