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DAT 565 Wk 4 Discussion - Testing Hypotheses Post a total of 3 substantive responses over 2 separate days for full participation. This includes your initial post and 2 replies to other students or your faculty member. Due Day 3 Hypothesis testing is used in business to test assumptions and theories. These assumptions are tested against evidence provided by actual, observed data. A statistical hypothesis is a statement about the value of a population parameter that we are interested in. Hypothesis testing is a process followed to arrive at a decision between 2 competing, mutually exclusive, collective exhaustive statements about the parameter’s value. Consider the following scenario: An industrial seller of grass seeds packages its product in 50-pound bags. A customer has recently filed a complained alleging that the bags are underfilled. A production manager randomly samples a batch and measures the following weights:
Weight, (lbs) 45.6
49.5
47.7
46.7
47.6
48.8
50.5
48.6
50.2
51.5
46.9
50.2
47.8
49.9
49.3
49.8
53.1
49.3
49.5
50.1
To determine whether the bags are indeed being underfilled by the machinery, the manager must conduct a test of mean with a significance level α = 0.05. In a minimum of 175 words, respond to the following: State appropriate null (Ho) and alternative (H1) hypotheses. What is the critical value if we work with a significant level α =
0.05?
What is the decision rule? Calculate the test statistic. Are the bags indeed being underfilled? Should machinery be recalibrated? Due Day 7 Reply to at least 2 of your classmates or your faculty member. Be constructive and professional in your responses.