A real estate office wants to make a survey in a certain town, which has 50,000 households, to determine how far the head of household has to commute to work. A simple random sample of 1,000 households is chosen, the occupants are interviewed, and it is found that on average, the heads of the sample households commuted 8.7 miles to work; the SD of the distances was 9.0 miles. (All distances are one-way; if someone isn't working, the commute distance is defined to be 0.) Fill in the following blanks, rounding to 1 decimal place. And please input part b as lower bound to upper bound. (a) The average commute distance of all 50,000 heads of households in the town is estimated as _______ miles, and this estimate is likely to be off by _________ miles or so. (b) The 95%- confidence interval for the average commute distance of all heads of households in the town is from ________ to ___________

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 26PFA
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A real estate office wants to make a survey in a certain town, which has 50,000 households, to determine how far the head of household has to commute to work. A simple random sample of 1,000 households is chosen, the occupants are interviewed, and it is found that on average, the heads of the sample households commuted 8.7 miles to work; the SD of the distances was 9.0 miles. (All distances are one-way; if someone isn't working, the commute distance is defined to be 0.)

Fill in the following blanks, rounding to 1 decimal place. And please input part b as lower bound to upper bound.

(a) The average commute distance of all 50,000 heads of households in the town is estimated as _______ miles, and this estimate is likely to be off by _________ miles or so.

(b) The 95%- confidence interval for the average commute distance of all heads of households in the town is from ________ to ___________

Fill in the blanks 

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