The number of times the AI algorithm is successful at detecting fake news is normally distributed with a sample mean of 900 and the sample standard deviation of 30. Assume a sample size of 100 was used.
What is the 95% confidence interval (CI) estimate for the population mean?
1. ( 894.1002 ; 905.8800)
2. (894.0474 ; 905.9526)
3. (852.8959 ; 947.1041)
4. (869.9665 ; 930.0335)
5. (895.0194 ; 904.9806)
1
Expert's answer
2020-09-27T17:55:18-0400
At the 95% confidence interval, the number of times the algorithm succeeds is between 2.5% and 97.5%
xˉ=900 , σ=30 and n=100
On the standard normal distribution;
Zscoreat2.5%=−1.96Zscoreat97.5%=1.96
Zscore=nσx−xˉ
Therefore:
x=nσ∗Zscore+xˉ
The values of x at the given Zscorevalue form the boundaries for the confidence interval
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