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A survey of several 9 to 11 year olds recorded the following amounts spent on a...

A survey of several 9 to 11 year olds recorded the following amounts spent on a trip to the mall: $22.91,$17.13,$13.60 Construct the 99% confidence interval for the average amount spent by 9 to 11 year olds on a trip to the mall. Assume the population is approximately normal. Step 3 of 4 : Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.

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Expert Solution

A survey of several 9 to 11 year olds recorded the following amounts spent on a trip to the mall: $22.91,$17.13,$13.60 Construct the 99% confidence interval for the average amount spent by 9 to 11 year olds on a trip to the mall. Assume the population is approximately normal. Step 3 of 4 : Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.

n=3

Mean =17.88

SD=4.7001

99% Table value t at 3-1 = 2 DF is 9.9248

99% CI =(-9.052, 44.812)

Confidence Interval Estimate for the Mean

Data

Sample Standard Deviation

4.7001

Sample Mean

17.88

Sample Size

3

Confidence Level

99%

Intermediate Calculations

Standard Error of the Mean

2.7136

Degrees of Freedom

2

t Value

9.9248

Interval Half Width

26.9321

Confidence Interval

Interval Lower Limit

-9.0521

Interval Upper Limit

44.8121


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