You want to rent an unfurnished one-bedroom apartment for next semester. The mean monthly rent for a random sample of 10 apartments advertised in the local newspaper is 540$. Assume that the standard deviation of the monthly rent is 80$. How large a sample of one-bedroom apartments would be needed in order to estimate the mean monthly rent u within +20$ with 98% confidence?

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**Estimating Sample Size for Apartment Rent**

You want to rent an unfurnished one-bedroom apartment for the next semester. The mean monthly rent for a random sample of 10 apartments advertised in the local newspaper is $540. Assume that the standard deviation of the monthly rent is $80. How large a sample of one-bedroom apartments would be needed in order to estimate the mean monthly rent \( \mu \) within ±$20 with 98% confidence?

**Diagram/Graph Explanation:**

There are no diagrams or graphs in the image. The problem is a text-based statistical question concerning sample size estimation based on given parameters (mean, standard deviation, confidence interval, and margin of error).
Transcribed Image Text:**Estimating Sample Size for Apartment Rent** You want to rent an unfurnished one-bedroom apartment for the next semester. The mean monthly rent for a random sample of 10 apartments advertised in the local newspaper is $540. Assume that the standard deviation of the monthly rent is $80. How large a sample of one-bedroom apartments would be needed in order to estimate the mean monthly rent \( \mu \) within ±$20 with 98% confidence? **Diagram/Graph Explanation:** There are no diagrams or graphs in the image. The problem is a text-based statistical question concerning sample size estimation based on given parameters (mean, standard deviation, confidence interval, and margin of error).
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