Question

In a survey, 32 people were asked how much they spent on their child's last birthday...

In a survey, 32 people were asked how much they spent on their child's last birthday gift. The results were roughly bell-shaped with a mean of $48 and standard deviation of $20. Construct a confidence interval at a 90% confidence level.

Give your answers to one decimal place.

Math   Statistics-And-Probability   
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Answer #1

Solution :

t /2,df = 1.696

Margin of error = E = t/2,df * (s /n)

= 1.696 * (20 / 32)

Margin of error = E = 6.0

The 90% confidence interval estimate of the population mean is,

- E < < + E

48 - 6 < < 48 + 6

42.0 < < 54.0

(42.0 , 54.0)

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