The ceo of a large manufacturing company is curious if there...

The CEO of a large manufacturing company is curious if there is a difference in productivity level of her warehouse employees based on the region of the country the warehouse is located. She randomly selects 35 employees who work in warehouses on the East Coast (Group 1) and 35 employees who work in warehouses in the Midwest (Group 2) and records the number of parts shipped out from each for a week. She finds that East Coast group ships an average of 1299 parts and knows the population standard deviation to be 350. The Midwest group ships an average of 1456 parts and knows the population standard deviation to be 297. Using a 0.01 level of significance, test if there is a difference in productivity level. What is the p-value? (Round to four decimal places) p-value =

Transcript

00:01 Hi, i'm david and i'm here to help you answer your question.

00:04 Now let me bring up your question here.

00:06 In the question here, we are going to discuss about the hybrid testing.

00:10 He wants to test if there is a difference in productivity level of her warehouse employee based on the region of the country and the warehouse is located.

00:22 It means that i want to test the known hypothesis with the mu1 equal to the mu 2.

00:27 I will call this where have employee based on the region.

00:31 It will be the m1 and then this will be the m2 and versus the alternative hypothesis when to test for the difference than the m2, m1 will not equal to the m2.

00:48 In this question here we have the first symbol n1 equal to the 35, the x bar 1 it will equal to and then the n2 also equal to the 35 the x bar 2 and we see that we have the average equal to the 1 299 for the first one and we have the population standard division sigma 1 it will equal to the east cost will be the group 1 and equal to the 3 hundred and the 50 and the second group will have the average equal to the 1 -456 and the sigma 2 equal to the 297 and the question asked me to find the b value before we find the b value we need to find the test statistics denoted by the z the formula will be the x by 1 minus the x bar 2 over the square root of the sigma 1 square over the n1 plus sigma 2 square over the n2 and and then we'll click in the value, we will have 1299 minus 1 ,456 divided by square root of the 350 square over the 35 plus 297 square over the 35.

02:17 If we compute it, we have 350 square plus 297 square, dividing by the 35, taking the square root, 1 -299 minus 1 4 -56 divided by the answer equal to the minus 2 .0 2...

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