Question

A teacher is interested in determining the mean reading speed (in words per minute) of second grade students in her city. She took a random sample of 25 second grade students from her city, and calculated a 95% confidence interval to be (82, 98). The data from the 25 students appeared roughly unimodal and symmetric.

Select the correct interpretation of this interval in the context of the problem.

Group of answer choices

We are 95% confident that 95% of samples like these will have mean reading speeds between 82 and 98 words per minute.

We are 95% confident that 95% of second grade students from this city will have reading speeds between 82 and 98 words per minute.

We are 95% confident that the mean reading speed for this sample of second graders is between 82 and 98 words per minute.

We are 95% confident that the mean reading speed for second graders in this city is between 82 and 98 words per minute.

Answer 1

Solution :-

Ans :-

We are 95% confident that the mean reading speed for second graders in this city is between 82 and 98 words per minute.

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A 95% confidence interval is a range of values that you can be 95% certain contains the true mean of the population. This is not the same as a range that contains 95% of the values.  confidence interval tells you more than just the possible range around the estimate. It also tells you about how stable the estimate is. A stable estimate is one that would be close to the same value if the survey were repeated.