Question

A researcher knows that the mean of all IQ scores is 100.

She gives 30 days of hot breakfast to 16 fifth graders and then tests their IQ. She finds

110,114,,101,99,98,93,104,103,100,100,107,120,115,105,98,97.

Conduct a one sample t-test and report the finding. Does hot breakfast increase IQ?

Answer 1

The test hypothesis is

This is a one-sided test because the alternative hypothesis is formulated to detect the difference from the hypothesized mean on the upper side

Now, the value of test static can be found out by following formula:

Since the sample size is n = 16, degrees of freedom on the t-test statistic are n-1 = 16-1 = 15

This implies that

Since

, we reject the null hypothesis H_0:\mu=100.0 in favour of the alternative hypothesis .

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