Question

In a survey, 20 people were asked how much they spent on their child's last birthday...

In a survey, 20 people were asked how much they spent on their child's last birthday gift. The results were roughly bell-shaped with a mean of $46 and standard deviation of $13. 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 :

Given that,

t /2,df = 1.729

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

= 1.729 * (13 / 20)

Margin of error = E = 5

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

- E < < + E

46 - 5 < < 46 + 5

41 < < 51

(41 , 51)

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