Question

In a survey, 16 people were asked how much they spent on their child's last birthday...

In a survey, 16 people were asked how much they spent on their child's last birthday gift. The results were roughly bell-shaped with a mean of $44 and standard deviation of $14. Construct a confidence interval at a 99% confidence level.

Give your answers to one decimal place.

Math   Statistics-And-Probability   
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Answer #1

t critical value at 0.01 level with 15 df = 2.947

99% confidence interval for is

- t * S / sqrt(n) < < + t * S / sqrt(n)

44 - 2.947 * 14 / sqrt(16) < < 44 + 2.947 * 14 / sqrt(16)

36.7 < < 54.3

99% CI is ( 36.7 , 54.3 )

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