A 95% confidence interval for the difference between the mean glucose content of two biscuit samples, A and B is (-87.125, 45. 308). Which of the following is the correct interpretation?

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 13PPS
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e

A 95% confidence interval for the difference between the mean glucose content of two biscuit samples,
A and B is (-87.125, 45. 308). Which of the following is the correct interpretation?
а.
At 95% confidence, the glucose content of biscuit A is greater than that of biscuit B, on the
average.
b. The probability that the true mean difference in glucose content falls between (-87.125, 45.308)
is 0.95.
С.
The probability that the true mean difference is glucose content falls within (-87.125, 45.308) is
0.95.
d. Since 0 falls within the interval, there is a 95% probability that there is no difference between the
mean glucose content of the two biscuits.
None among the choices
е.
Transcribed Image Text:A 95% confidence interval for the difference between the mean glucose content of two biscuit samples, A and B is (-87.125, 45. 308). Which of the following is the correct interpretation? а. At 95% confidence, the glucose content of biscuit A is greater than that of biscuit B, on the average. b. The probability that the true mean difference in glucose content falls between (-87.125, 45.308) is 0.95. С. The probability that the true mean difference is glucose content falls within (-87.125, 45.308) is 0.95. d. Since 0 falls within the interval, there is a 95% probability that there is no difference between the mean glucose content of the two biscuits. None among the choices е.
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