In: Math
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.
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 |