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Topic 6 Homework (Nonadaptive) Question 6 of 11 (1 point)|Question Attempt: 1 of Unlimited

1 2 3 4 5 6 7 8 9 10 11 Question 6 An engineer working for a large agribusiness has developed two types of soil additives he calls Add1 and Add2. The engineer wants to test whether there is any difference between the two additives in the mean yield of tomato plants grown using these additives.

The engineer studies a random sample of 12 tomato plants grown using Add1 and a random sample of 13 tomato plants grown using Add2. (These samples are chosen independently.) The plants grown with Add1 have a sample mean yield of 119 tomatoes with a sample variance of 338.5. The plants grown with Add2 have a sample mean yield of 133.3 tomatoes with a sample variance of 2564.2.

Assume that the two populations of yields are approximately normally distributed. Can the engineer conclude, at the 0.05 level of significance, that there is a difference between the population mean of the yields of tomato plants grown with Add1 and the population mean of the yields of tomato plants grown with Add2?

Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.)

(a) State the null hypothesis H0 and the alternate hypothesis H1. H0: H1: (b) Determine the type of test statistic to use. ▼(Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.)

(d) Find the two critical values. (Round to three or more decimal places.) and (e) At the 0.05 level of significance, can the engineer conclude that there is a difference between the mean yield of tomato plants grown with Add1 and the mean yield of tomato plants grown with Add2? Yes No

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