You want to rent an unfurnished one-bedroom apartment in Boston next year. The mean monthly rent for a simple random sample of 32 apartments advertised in the local newspaper is $1,400. Assume that...



  1. You want to rent an unfurnished one-bedroom apartment in Boston next year. The mean monthly rent for a simple random sample of 32 apartments advertised in the local newspaper is $1,400. Assume that the sample standard deviation is known to be $220.




  • Calculate the margin of error for the 99% confidence interval for ?.





  • Find a 99% confidence interval for the mean monthly rent for unfurnished one-bedroom apartments available for rent in this community.




  • what is the width of this 99% confidence interval for ?.




  • Does the confidence interval give us information about the statistic or the parameter?




  • How should we interpret a 99% confidence interval for the mean?




  • What if the sample size was increased to 80 for the 99% confidence interval, how would the confidence interval change with this larger sample size? No calculations necessary.




  • Suppose you were to change the confidence level in (b) to 95% using the same sample. How would the confidence interval change? No calculations necessary.




Jun 08, 2022
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