Test the hypothesis at α = 0.05. Also calculate the 95% confidence limits and check whether the limits are consistent with your conclusion.

MATLAB: An Introduction with Applications
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Researchers were surprised to find that young children under stress actually report fewer symptoms of anxiety and depression than we would expect. But they also noticed that their scores on a Lie scale (a measure of the tendency to give socially desirable answers) were higher than expected. The population mean for the Lie scale on the Children’s Manifest Anxiety Scale is known to be 3.87. For a sample of 36 children under stress, the researchers found a sample mean of 4.39, with a standard deviation of 2.61. Do this group of children show an increased tendency to give socially acceptable answers? Test the hypothesis at α = 0.05. Also calculate the 95% confidence limits and check whether the limits are consistent with your conclusion.

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