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A 95% confidence interval is found to be (28, 32). The sample standard deviation is 7, and the sample size is 49. If you wanted a smaller interval, what could you do? A. Decrease the sample size to 36. B. Increase the standard deviation to 10. C. Increase the confidence level to 99.7%. O D. Increase the sample size to 64. SUBMIT​

PLEASE HELPA 95 Confidence Interval Is Found To Be 28 32 The Sample Standard Deviation Is 7 And The Sample Size Is 49 If You Wanted A Smaller Interval What Coul class=

Sagot :

Using the formula for the margin of error, it is found that a smaller confidence interval would be obtained as follow:

D. Increase the sample size to 64.

What is the margin of error of a confidence interval?

It is given by the following formula:

[tex]M = z\frac{s}{\sqrt{n}}[/tex]

In which:

  • z is the critical value(direct proportional with the confidence level).
  • s is the standard deviation.
  • n is the sample size.

For a smaller interval, we need to decrease the margin of error, which is possible increasing the sample size, hence option D is correct.

More can be learned about margin of error at https://brainly.com/question/25779324

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