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In a survey, 21 people were asked how much they spent on their child's last birthday...

In a survey, 21 people were asked how much they spent on their child's last birthday gift. The results were roughly bell-shaped with a mean of $36.4 and standard deviation of $13.4. Estimate how much a typical parent would spend on their child's birthday gift (use a 80% confidence level). Give your answers to 3 decimal places. 


Express your answer in the format of x̅ ± E.

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Answer #1

As the sample size is 21 and the distribution is roughly bell shaped, t distribution based confidence interval would be appropriate for mean

Thus we get the 80% CI with E=   3.875 (this is actually the margin of error)

(36.4- 3.875,36.4+3.875 )

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