Consider the following hypothesis test: | Η ο: μ < 50 Ha: µ > 50 A sample of 50 is used and the population standard deviation is 6. Use the critical value approach to state your conclusion for each of the following sample results. Use a = .05. a. With 2 = 52.5, what is the value of the test statistic (to 2 decimals)? 3.03 Can it be concluded that the population mean is greater than 50? Yes b. With 2 = 51, what is the value of the test statistic (to 2 decimals)? Can it be concluded that the population mean is greater than 50? Yes c. With = 51.8, what is the value of the test statistic (to 2 decimals)?

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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.