Mathematics, 26.12.2019 18:31 kktiger14
Suppose scores on exams in statistics are normally distributed with an unknown population mean and a population standard deviation of three points. a random sample of 36 scores is taken and gives a sample mean (sample mean score) of 68. find a confidence interval estimate for the population mean exam score (the mean score on all exams). find a 90% confidence interval for the true (population) mean of statistics exam scores.
Answers: 3
be the true (population) mean of statistics exam scores. We have a large random sample of n = 36 scores with a sample mean (sample mean score) of 
. We know that the population standard deviation is 
. A pivotal quantity is 
which is approximately normally distributed and 
where 
, and so, 
. Therefore the 90% confidence interval is (68-(1/2)(1.6449), 68+(1/2)(1.6449)), i.e., ( 67.18, 68.82)Another question on Mathematics
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Suppose scores on exams in statistics are normally distributed with an unknown population mean and a...
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