a doctor is measuring the average height of male students at a large college. the doctor measures the heights, in inches, of a sample of 40 male students from the baseball team. using this data, the doctor calculates the 95% confidence interval (63.5, 74.4). which one of the following conclusions is valid?

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14-11-2022
Mathematics

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a doctor is measuring the average height of male students at a large college. the doctor measures the heights, in inches, of a sample of 40 male students from the baseball team. using this data, the doctor calculates the 95% confidence interval (63.5, 74.4). which one of the following conclusions is valid?

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KarpaT KarpaT · Answer 1 · 2022-11-20T05:35:23+01:00

The correct conclusion is:

"The doctor can be 95% confident that the mean height of male students at the college is between 63.5 inches and 74.4 inches."

Given,

At a huge institution, a doctor is determining the typical height of the male students.

Inches are used to measure the heights of a sample of 40 male baseball team players.

The doctor computes the 95% confidence interval using this information (63.5, 74.4).

The following conclusions is valid:

"The doctor can be 95% confident that the mean height of male students at the college is between 63.5 inches and 74.4 inches."

We can guarantee that the target variable will be within the confidence interval for a given confidence level since we know the confidence interval reflects an interval.

The true mean of heights for male students at the college where the doctor measured heights is represented by the provided case's confidence level of 95% and confidence interval of (63.5, 74.4).

The doctor is therefore 95% certain that the range of the mean height of male students at the college is valid (63.5, 74.4).

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