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 |