The National Honor Society at Central High School plans to sample a random group
of 100 seniors from all high schools in the state in which Central High School is located to determine the average
number of hours per week spent on homework. A 95% confidence interval for the mean number of hours spent on
homework will then be constructed using the sample data. Before selecting the sample, the National Honor Society
decides that it wants to decrease the margin of error. Which of the following is the best way to decrease the margin
of error?
(A) Increase the confidence level to 99% (B) Use the population standard deviation
(C) Use the sample standard deviation (D) Increase the sample size
(E) Decrease the sample size

Respuesta :

Answer:

D

Step-by-step explanation:

Increasing sample size reduces margin of error

Using a 95% confidence interval, the margin of error of the study can be reduced by increasing the sample size, option D.

What is margin of error?

The margin of error in a result is a measure of the variation of the result from the true value of the data sampled.

The higher the margin of error in a survey, the less confidence there will be in the results of the survey.

The margin of error can be reduced by increasing the sample size or reducing the confidence level.

Therefore, the margin of error of the study can be reduced by increasing the sample size, option D.

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