A test engineer wants to estimate the mean gas mileage m (1in miles per gallon) for a particular model of automobile. Eleven of these cars are subjected to a road test, and the gas mileage is computed for each car. A dotplot of the 11 gas-mileage values is roughly symmetrical and has no outliers. The mean and standard deviation of these are 25.5 and 3.01, respectively. Assuming considered a simple random sample of cars of this model, which of the following is a these 11 automobiles can correct statement? 3.01 (A) A 95% confidence interval for m is 25.5 ± 2.228 V11 3.01 (B) A 95% confidence interval for m is 25.5 ± 2.201- V11 3.01 (C) A 95% confidence interval for m is 25.5 ± 2.228 V10 3.01 (D) A 95% confidence interval for m is 25.5 ± 2.201- V10 (E) the results cannot be trusted: the sample is too small

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 22SGR
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下午4:16 4月12日周二
* 82%
•..
A test engineer wants to estimate the mean gas mileage m (in miles per gallon) for a
particular model of automobile. Eleven of these cars are subjected to a road test, and
the gas mileage is computed for each car. A dotplot of the 11 gas-mileage values is
roughly symmetrical and has no outliers. The mean and standard deviation of these
values are 25.5 and 3.01, respectively. Assuming that these 11 automobiles can be
considered a simple random sample of cars of this model, which of the following is a
correct statement?
3.01
(A) A 95% confidence interval for m is 25.5 ± 2.228
V11
3.01
(B) A 95% confidence interval for m is 25.5 ± 2.201-
V11
3.01
(C) A 95% confidence interval for m is 25.5 ± 2.228
V10
3.01
(D) A 95% confidence interval for m is 25.5 ± 2.201-
V10
(E) the results cannot be trusted; the sample is too small.
Transcribed Image Text:下午4:16 4月12日周二 * 82% •.. A test engineer wants to estimate the mean gas mileage m (in miles per gallon) for a particular model of automobile. Eleven of these cars are subjected to a road test, and the gas mileage is computed for each car. A dotplot of the 11 gas-mileage values is roughly symmetrical and has no outliers. The mean and standard deviation of these values are 25.5 and 3.01, respectively. Assuming that these 11 automobiles can be considered a simple random sample of cars of this model, which of the following is a correct statement? 3.01 (A) A 95% confidence interval for m is 25.5 ± 2.228 V11 3.01 (B) A 95% confidence interval for m is 25.5 ± 2.201- V11 3.01 (C) A 95% confidence interval for m is 25.5 ± 2.228 V10 3.01 (D) A 95% confidence interval for m is 25.5 ± 2.201- V10 (E) the results cannot be trusted; the sample is too small.
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