Random Generation of Data The TI-83 Plus calculator can be used to generate random data from a normally distributed population. The command randNorm(100,15,50) generates 50 values from a normally distributed population with m 5 100 and s 5 15.

One such generated sample of 50 values has a mean of 98.4 and a standard deviation of 16.3.

a. Use a 0.10 significance level to test the claim that the sample actually does come from a population with a mean equal to 100. Assume that s 5 15.

b. Repeat part

(a) assuming that s is unknown.

c. Use a 0.10 significance level to test the claim that this sample actually does come from a population with a standard deviation equal to 15.

What does the result say about the variation among the generated sample values?

d. Based on the preceding results, does it appear that the calculator’s random number generator is working correctly?