A statistician is trying to estimate the average number of members per household in a given city. He selected a random neighborhood in the city with 79 households and found that the sample average equals to 4.1 members. Assuming that the standard deviation is known to be 1.96 members from previous years’ published statistics, what is the lower limit of a 95% two sided confidence interval constructed to estimate the mean of number of members per household in the city?
TOPIC:Confidence interval for the population mean.
Here, the sample size is large enough (>30) to assume the sampling distribution of the sample mean to be Normally distributed.
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