# One sample t test

Imagine that research shows the average age of people who buy lottery tickets to be 70 with a standard deviation of 12. A sample of 30 individuals from Hawaii is selected and their ages are recorded as shown below. At a = 0.05 is there enough evidence to state that the average age of ticket buyers is the same in Hawaii as it is for the general population? (Hint: Remember to determine if this is a one-tailed or two-tailed hypothesis and perform a z test to test your hypothesis.)

59 63 90 52 22 80 72 56 82 56

24 46 70 74 70 61 65 71 39 74

79 76 71 49 62 68 71 67 69 45

https://brainmass.com/statistics/students-t-test/one-two-tailed-tests-261531

#### Solution Preview

H0: Average age of lottery buyers is the same in Hawaii as it is for the general population ( µ =70).

H1: Average age of lottery buyers is different in Hawaii from general population mean ( µ ≠ 70).

This is a two tailed test.

The test statistic used ...

#### Solution Summary

The solution provides step by step method for the calculation of test statistics. Formula for the calculation and Interpretations of the results are also included. The solution is also provided in an excel file.