A sample of five measurements, randomly selected from a normally distributed population, resulted in the following summary statistics: x = 4.8,s = 1.3 Test the null hypothesis that the mean of the population is 6 against the alternative hypothesis, mu < 6. use alpha =.05. Test the null hypothesis that the mean of the population is 6 against the alternative hypothesis, mu 6. Use alpha =.05 Find the observed significance level for each test.

Given the box plot, will the mean or the median provide a better description of the center? box plot with min at 10.5, q1 at 11.5, median at 12.5, q3 at 13.5, max at 15

Determine whether the following statements are true and give an explanation or counterexample. bold a. when using the shell method, the axis of the cylindrical shells is parallel to the axis of revolution. bold b. if a region is revolved about the y-axis, then the shell method must be used. bold c. if a region is revolved about the x-axis, then in principle it is possible to use the disk/washer method and integrate with respect to x or the shell method and integrate with respect to y.

For the equations below which statement is true ?