Develop two test type questions open ended not multiple choi

Develop two test type questions (open ended not multiple choice) on two sample hypothesis testing, correlation or regression.

Then solve and show work.

An EXAMPLE of an answer is posted below DON\'T ANSWER THE QUESTION BELOW, IT IS AN EXAMPLE :

*** THIS IS AN EXAMPLE, DON\'T ANSWER THIS*****Happy Balls golf ball felt that their one sample study was not enught to determine if the new machines were producing more balls so they wanted to do a comparison test using two samples. One from the old machine and one from the new machine. A sample of 30 hours resulted in the old machine producing a sample mean of 200 balls produced per hour with a standard deviation of 10.   A sample of 30 hours resulted in the new machine producing a sample mean of 210 balls produced per hour with a standard deviation of 12. Use a .05 level of confidence can you conclude that the new machine produces more balls? Use the five step hypothesis testing procedure. **** THIS IS AN EXAMPLE, DONT ANSWER THIS***

Solution

An engineer measured the Brinell hardness of 25 pieces of ductile iron that were subcritically annealed. The resulting data were:

The engineer hypothesized that the mean Brinell hardness of all such ductile iron pieces is greater than 170. Therefore, he was interested in testing the hypotheses:

H₀ : = 170
H_A : > 170

A biologist was interested in determining whether sunflower seedlings treated with an extract from Vinca minor roots resulted in a lower average height of sunflower seedlings than the standard height of 15.7 cm. The biologist treated a random sample of n = 33 seedlings with the extract and subsequently obtained the following heights:

The biologist\'s hypotheses are:

H₀ : = 15.7
H_A : < 15.7