Question

Students took pictures of themselves squinting and another picture with their eyes wide open. The data were

collected for the purpose of testing the null hypothesis that squinting didn’t make a difference in the expected age guessed versus the alternative that squinting would make you look older. Forty-seven (n=47) students ages guessed by the computer averaged 3.64 years older when the students were squinting with a standard deviation of 12.87 years.

1.What is the standard error of the mean in this situation? Show your computations.

2.Find the test statistic (z-score) and then the p-value. Show your computations for the z-score and explain how you found the p-value.

What do you conclude?

(You should arrive at a p-value of about 2 or 3 percent indicating that the null hypothesis — that squinting has no affect — is a poor explanation of the data.)

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