Calculate the confidence interval (Statistics problem)

AI Thread Summary
The user is attempting to calculate a confidence interval using a TI-84 calculator but is struggling to match the expected answer of (22769.83, 30059.41). They input the standard deviation as 8150, the mean as 26414.62, and the sample size as 20 with a confidence level of 0.9544. The calculated result is (22772, 30058), which is close but not exact. There is speculation that the issue may relate to the Z values used in the calculation. The discussion highlights the importance of correctly interpreting confidence levels and Z values for accurate results.
RedonYellow
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I am trying to calculate the confidence interval for this problem using my T-84, and it's driving me mad because I'm so close to the correct answer. The problem is

Homework Statement



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The answer to this problem is (22769.83, 30059.41) (This is an example problem.) When I try to duplicate this in my calculator, my answer is (22772,30058).

Homework Equations


I go to STAT>TESTS>7>STATS

The Attempt at a Solution



I put the data in like this
standard deviation: 8150
mean: 26414.62
n: 20
C-Level: 0.9544

Could someone tell me what I'm doing incorrectly, please.
 
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I'm not familiar with your calculator but my guess is some problem with the Z values. If you check you will see that 95.44% corresponds to a right and left tail are each of .0228 which in turn gives a z value of 2. Why don't you just check what 2 sample standard deviations from the sample mean get you?
 

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