Simplify 5 - 8 +3 * 9
2 answers:
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Answer:
Decreasing the sample size decreases the width of the confidence interval.
Step-by-step explanation:
-Let s be the sample standard deviation and be the sample mean.
#We calculate the 95% confidence interval for the sample size 100 as below:
#we then calculate the confidence interval of sample size =50 and of similar mean and standard deviation:
#Notice that the smaller sample(n=50) has a narrower confidence interval.
Hence, decreasing the sample size decreases the width of the confidence interval.