MAT 300 Quiz: -MAT300-ch7-confidence interval for the population mean-use of the standard normal

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An existing inventory for a test measuring self-esteem indicates that the scores have a standard deviation of 12. A psychologist gave the self-esteem test to a random sample of 50 individuals, and their mean score was 60. Construct a 95% confidence interval for the true mean of all test scores. X =60 i but this is only a guess; it may be that this particular sample has a mean diferent from the population mean. What can be done, though, is to construct an interval of values, based on the sample, that is likely to contain . , and the population standard deviation is given as r = 12. According to thecentral limit theorem, because the sample size 50 is large, the sample mean x follows (approximately) anormal distribution with mean and standard deviation. The mean diastolic blood pressure for a random sample o@eople wanillimeters of mercury. If the standard deviation of individual blood pressure readings is known to be.

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