You want to rent an unfurnishedone-bedroom
apartment for next semester. the mean monthlyrent for a random
sample of 10 apartments advertised in the localnewspaper is $580.
assume that the standard deviation is$90. find a 95% confidence
interval for the mean monthly rentfor unfurnished one bedroom
apartments available for rent in thiscommunity.

Step-by-step explanation:

Confidence interval for population mean is given by :-

, where = Sample mean

z* =  critical z-value.

= Population standard deviation.

n= Sample size.

Let x be the denotes the monthly rent for unfurnished one bedroom  apartments available for rent in this community.

As per given , we have

n= 10

Critical value for 95% confidence : z* = 1.96

So the 95% confidence  interval becomes,

Hence, a 95% confidence  interval for the mean monthly rent for unfurnished one bedroom  apartments available for rent in this community=