A certain bag of fertilizer advertises that it contains 7.25 kg, but the amounts these bags actually contain is normally distributed with a mean of 7.4 kg and a standard deviation of 0.15 kg. The company installed new filling machines, and they wanted to perform a test to see if the mean amount in these bags had changed. Their hypotheses were H0: Ī¼ = 7.4 kg vs. Ha: Ī¼ ā 7.4 kg (where Ī¼ is the true mean weight of these bags filled by the new machines). They took a random sample of 50 bags and observed a sample mean of 7.36 kg and a standard deviation of 0.12 kg. They calculated that these results had a p-value of approximately 0.02. 1) What conclusion should be made using a significance level of Ī± = 0.05? A. Fail to reject H0 B. Reject H0 and accept Ha C. Accept H0 2) In context, what does this conclusion say? I. The evidence suggests that these bags are being filled with a mean amount that is different than 7.4 kg. II. We don't have enough evidence to say that these bags are being filled with a mean amount that is different than 7.4 kg. III. The evidence suggests that these bags are being filled with a mean amount of 7.4 kg. 3) How would the conclusion have changed if they had instead used a significance level of Ī± = 0.01? i. They would have rejected Ha. ii. They would have accepted H0. iii. They would have failed to reject H0. iv. They would have reached the same conclusion using either Ī± = 0.05 or Ī± = 0.01.