The principal of a school is interested in estimating the average income per family of her students. She selects a random sample of students and collects information about their family income. A 95 percent confidence interval computed from this data for the mean income per family is ($35,095,$45,005). Which of the following provides the best interpretation of this confidence interval? There is a 95% probability that the families of all the students in this school have an income of between $35,095 and $45,005. 95 percent of the students in her school are from families whose income is between $35.095 and $45.005.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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The principal of a school is interested in estimating the average income per
family of her students. She selects a random sample of students and collects
information about their family income. A 95 percent confidence interval
computed from this data for the mean income per family is ($35,095,$45,005).
Which of the following provides the best interpretation of this confidence
interval?
There is a 95% probability that the families of all the students in this school have an
income of between $35,095 and $45,005.
95 percent of the students in her school are from families whose income is between
$35,095 and $45,005.
There is a 95% probability that the mean of another sample with the same size will fall
between $35,095 and $45,005.
There is a 95% probability that the mean income per family in the school is between
$35,095 and $45,005.
None of these
If we were to take another sample of the same size and compute a 95 percent
O confidence interval, we would have a 95% chance of getting the interval ($35,095,
$45,005).
Transcribed Image Text:The principal of a school is interested in estimating the average income per family of her students. She selects a random sample of students and collects information about their family income. A 95 percent confidence interval computed from this data for the mean income per family is ($35,095,$45,005). Which of the following provides the best interpretation of this confidence interval? There is a 95% probability that the families of all the students in this school have an income of between $35,095 and $45,005. 95 percent of the students in her school are from families whose income is between $35,095 and $45,005. There is a 95% probability that the mean of another sample with the same size will fall between $35,095 and $45,005. There is a 95% probability that the mean income per family in the school is between $35,095 and $45,005. None of these If we were to take another sample of the same size and compute a 95 percent O confidence interval, we would have a 95% chance of getting the interval ($35,095, $45,005).
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