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Advanced Placement (AP), 23.02.2021 23:20 jojokeys

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 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 increased. Their hypotheses were H0: = 7.4 kg vs. H u > 7.4 kg (where p 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 and standard deviation of x=7.36 0.12kg. They calculated that these results and s. = had a P-value of approximately 0.04. 1.) What conclusion should be made using a significance level of a = 0.05 ?
a. FaiI to reject H0
b. Reject H0 and accept Ha
c. Accept H0

2.) How would the conclusion have changed if they had instead used a significance level of a=0.01`?
a. They would have rejected Ha
b. They would have accepted H0
c. They would have faiIed to reject H0
d. They would have reached the same conclusion using either a= 0.05 or a = 0.01

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