Question: An engineer working for a large agribusiness has developed two types of soil additives he calls Add1 and Add2. The engineer wants to estimate the

An engineer working for a large agribusiness has developed two types of soil additives he calls Add1 and Add2. The engineer wants to estimate the difference between the mean yield of tomato plants grown with Add1 and the mean yield of tomato plants grown with Add2. The engineer studies a random sample of 11 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 125.4 tomatoes with a sample variance of 337.1. The plants grown with Add2 have a sample mean yield of 161.5 tomatoes with a sample variance of 2528.9. Assume that the two populations of yields are approximately normally distributed. Let u1 be the population mean yield of tomato plants grown with Add1. Let u2 be the population mean yield of tomato plants grown with Add2. Construct a 90% confidence interval for the difference u1-u2. Then find the lower and upper limit of the 90% confidence interval. Carry your intermediate computations to three or more decimal places. Round your answers to two or more decimal places.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!