Question

The gym teacher of a large high school wants to estimate the mean number of pushups students at this school can do in one minute. He selects a random sample of 30 students from those who are there after school for sports practices. He records how many pushups each of the students in the sample can do in determines that he is 90% confident that the interval from 24.1 to 28.5 captures the mean number of pushups that students at this school can do in one minute. A.Interpret the confidence level. B.Explain what would happen to the length of the interval if the confidence level were increased to 99%.

Answer 1

The gym teacher is 90% confident that the mean number of pushups the students can do in one minute is between 24.1 to 28.5

Confidence interval

The confidence interval is given by:

Confidence interval = mean ± margin of error.

Given that the interval is 24.1 to 28.5, hence:

The gym teacher is 90% confident that the mean number of pushups the students can do in one minute is between 24.1 to 28.5

The length of the interval would increase if the confidence level were increased to 99%.

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