# Researchers Evidence - Standard Deviation

A researcher claims that the average age of people who buy lottery tickets is 70. A sample of 30 is selected and their ages are recorded as shown below. The standard deviation is 16. At alpha = 0.05 is there enough evidence to reject the researcher's claim?

49 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

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#### Solution Summary

This solution sets up the null and alternative hypothesis and calculates the z-test statistic to compare with the p-value. A decision is made to accept or reject the null hypothesis.

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