Question
HELP?! state hypotheses, test statistic, p-value, conclusion. 1. The International Boxing Association claims that the average amount of time that a boxer is unconscious after
HELP?!
state hypotheses, test statistic, p-value, conclusion.
1. The International Boxing Association claims that the average amount of time that a boxer is unconscious after being knocked out in a boxing ring is at most 49 seconds. A SRS of 45 boxers found that boxers were unconscious for an average of 53.7 seconds after being knocked out with a population standard deviation of 23.5 seconds. Using a significance level of 10%, do you haveenough evidence to reject the International Boxing Association's claim?
Ho= mean = at most 49 seconds
Ha= mean = 53.7 seconds
2. A simple random sample of 41 8thgrade students found the mean score on an exam is 250 with a sample standard deviation of 55. The school administration claims that the population mean for the school is less than 265. Is there enough evidence to support the claim?
Ho: mean score = 250
Ha: less than 265
3. Mars Inc., makers of M&M candies, claims that they produce M&Ms with the following color distribution: Brown: 30% Red: 20% Orange: 10% Green: 10% Blue: 10%.
A SRS of M&Ms bags were selected from the grocery store self and produced the following color counts: Brown: 120 Red: 57 Yellow: 63 Orange: 42 Green: 27 Blue: 21.
Conduct a hypothesis test to see if the manufacturer's claim for the proportion of orange M&Ms iscorrect.
Ho:
Ha:
4. According to the Daily Caller News Foundation, no more than 42% of people are opposed to fracking (a method used to extract oil and gas from the earth). In order to confirm this claim, a random sample of 1000 people were asked if they are opposed to fracking. Three hundred fifty people responded that they are opposed to fracking. Test the claim made by the Daily Caller News Foundation using a significance level of 1%.
5. A simple random sample of 20 people found that the average amount earned during the summer was $5,800 with a population standard deviation of $350. The city produced a study claiming that the average salary during the summer is not $6,000. Assuming the population is normally distributed, test the claim.
6. The data given is the daily temperature during January 2000 in Chicago, IL. The national Weather Center claims that the average temperature in Chicago during January is less than 30 degrees. Is there enough evidence to support the claim?
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