A population of values has a normal distribution with mean of 159.4 and standard deviation of 80.5.  You sample 217 values from the population. a) Get the z-score for a sample mean of 144.1. For this problem you use the z score formula z=(¯x−μ)√nσz=(x¯-μ)nσ     b) This z-score tells you how many  the sample mean of 144.1 is above or below the population mean μμ . c) Find the probability that a sample mean is greater than 144.1.  Enter your numerical answers as numbers accurate to at least 4 decimal places.

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Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.