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The weights of 121 31-year-old adults randomly selected from the are normally distributed with a mean of 160 lbs. It is known that 31-year-olds weigh 155 lbs on average with a standard deviation of 5 lbs.
You want to test the statement: "The sample is heavier than an average 31-year-old adult"
(a) Do you use a one-tailed or a two-tailed test? Why?
(b) What are your null and alternate hypotheses? In plain English, explain what are your type I and type II errors in this case?
(c) Would you reject your null hypothesis at the 5% level? How about the 10%, 2%, and 1% levels?
(d) In the example above, suppose the margin of error (how many percentage points your sample differs from the population) is 0.8 and the investigator plans to use the 80% confidence interval. Determine the minimum sample size required in this case.
Hint: Refer to how confidence interval is calculated and how sample size determines the confidence interval.
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Mountain Man Brewing, a family owned business where Chris Prangel, the son of the president joins. Due to increase in the preference for light beer drinkers, Chris Prangel wants to introduce light beer version in Mountain Man. An analysis into the la..
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