1) For each of the following scenarios, define the null hypothesis (Ho) and the

Question

1) For each of the following scenarios, define the null hypothesis (Ho) and the alternate hypothesis (Hi): (a) Two different flu vaccines are being tested. Each vaccine is being tested on 1000 people and the number of people who come down with the flu in the next three months will be used to determine the percent infected in the samples for each vaccine. Set up a hypothesis test to determine whether there is evidence that the overall percent infected with vaccine 1 (p) is less than the overall percent infected with vaccine 2 (p2) (b) Two CNC milling machines are being tested to see if there is a difference in the consistency of the results. For each machine, slots are milled in 8 workpieces and the depth of each slot is measured, then the standard deviation of slot depth is calculated for each sample. Set up a hypothesis test to determine whether the standard deviation of slot depth is different for the two machines.

Explanation / Answer

Question 1

(a) H0: There is no difference in proportion of people down with the flue in next 3 months when vaccinated by vaccine 1 and vaccine 2. p1 = p2

Ha : The proportion of people down with the flue in next 3 months is smaller when vaccinated with vaccine 1 as compared to vaccine 2. p1 < p2

(B) H0: Variance/ standard deviation of slot depth is same for both CNC miling machines. 1= 2

Ha : Variance/ standard deviation of slot depth is different for both CNC miing machine.   12

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