1) Anthony, who is a long time NBA fan wants to see how well his favorite...
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1) Anthony, who is a long time NBA fan wants to see how well his favorite team, Los Angeles Lakers did at 2019-2020 season. Unfortunately, he has access to box scores of a limited number of games played but he knows that scores are distributed with a standard deviation of 18. Taking a sample of 36 games, he observes that Lakers have averaged 180.5 points per game. He performs a left-tailed hypothesis test for the mean scores for the entire season and eventually finds a p-value of 0.566. a) State the null and alternative hypothesis of the test, i.e. explicitly find the value used in hypothesis. b) What is type 1 error probability if Ho is rejected for X <178? c) What is the true mean for scores if Type 1 error probability is 0.01 and power of the test is 0.1346? 1) Anthony, who is a long time NBA fan wants to see how well his favorite team, Los Angeles Lakers did at 2019-2020 season. Unfortunately, he has access to box scores of a limited number of games played but he knows that scores are distributed with a standard deviation of 18. Taking a sample of 36 games, he observes that Lakers have averaged 180.5 points per game. He performs a left-tailed hypothesis test for the mean scores for the entire season and eventually finds a p-value of 0.566. a) State the null and alternative hypothesis of the test, i.e. explicitly find the value used in hypothesis. b) What is type 1 error probability if Ho is rejected for X <178? c) What is the true mean for scores if Type 1 error probability is 0.01 and power of the test is 0.1346?
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