Random Generation of Data Use the sample results from Exercise 7 to test the claim that the generated values are from a population with a standard deviation equal to 12.5. Use a 0.05 significance...

Random Generation of Data
Use the sample results from Exercise 7 to test the claim that the generated values are from a population with a standard deviation equal to 12.5. Use a 0.05 significance level.

Exercise 7

Random Generation of Data
The TI-81/84Plus calculator can be used to generate random data from a normally distributed population. The command
randNorm(74, 12.5, 100)
generates 100 values from a normally distributed population with μ = 74 and σ = 12.5 (for pulse rates of women). One such generated sample of 100 values has a mean of 74.4 and a standard deviation of 11.7. Assume that is known to be 12.5 and use a 0.05 significance level to test the claim that the sample actually does come from a population with a mean equal to 74. Based on the results, does it appear that the calculator’s random number generator is working correctly?