The following day, the company manufactures another 1,000 pills and decides to analyze these pills to determine if the equipment is able to accurately reproduce pills from day to day.Of these 1,000 pills, 10 are removed from the production line for analysis.The amount of active ingredient in these 10 pills are as follows (in mg):102.7, 102.3, 102.6, 103.5, 103.7, 103.9, 103.0, 104.1, 103.3, and 102.9.What is the average amount of active ingredient in this sample of pills?[1]

a)1,032 mg

b)114.7 mg

c)103.2 mg

d)103.0 mg

4.To determine whether or not the sample of pills from day 2 is the same as the original population of pills from day 1, which would indicate the manufacturing process is reproducible, a hypothesis test can be used.Is it true that a t-score would be most appropriate to determine if there is no change in active ingredient from batch 1 to batch 2?[1]

a) True

b) False

5.To determine if the two batches of pills from day 1 to day 2 are identical, which of the following hypotheses should be tested?[1]

a)Ho - batch 2 (X) = batch 1 ();Ha - batch 2 (X) > batch 1 ()

b)Ho - batch 2 (X) > batch 1 ();Ha - batch 2 (X) < batch 1 ()

c)Ho - batch 2 (X) < batch 1 ();Ha - batch 2 (X) > batch 1 ()

d)Ho - batch 2 (X) = batch 1 ();Ha - batch 2 (X) batch 1 ()

6.Can it be said, within 95% confidence that the second batch of pills is identical to the first batch of pills?Choose the best answer.

a)We accept the null hypothesis, and the two batches are identical, with a z-score of -0.30.

b)We reject the null hypothesis, and the two batches are not-identical, with a z-score of -0.30.

c)We accept the null hypothesis, and the two batches are not-identical, with a z-score of -0.30.

d)We reject the null hypothesis, and the two batched are identical, with a z-score of -0.30.

e)A z-score is not an appropriate test to be used here since the population standard deviation is not known.[1]