An index that is a standardized measure used in observing infants over time is approximately normal with a mean of 96 and a standard deviation of 10. a) Using the empirical rule, approximately what percent of infants have an index score between 86 and 126?
b) Using the appropriate table, what proportion of infants have an index score of between 90 and 100?
c) What index score is greater than 33% of the population index scores?
d) What index score is the 89th percentile?

A. find the power of the test, when the null hypothesis assumes a population mean of mu = 450, with a population standard deviation of 156, the sample size is 5 and the true mean is 638.47 with confidence intervals of 95 b. find the power of the test, when the null hypothesis assumes a population mean of mu = 644, with a population standard deviation of 174, the sample size is 3 and the true mean is 744.04 with confidence intervals of 95% c. find the power of the test, when the null hypothesis assumes a population mean of mu = 510, with a population standard deviation of 126, the sample size is 10 and the true mean is 529.44 with confidence intervals of 95