LazyLog
Answered

Welcome to Westonci.ca, where curiosity meets expertise. Ask any question and receive fast, accurate answers from our knowledgeable community. Our platform provides a seamless experience for finding reliable answers from a knowledgeable network of professionals. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

PLEASE HELP!
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

#SPJ1

Thank you for visiting our platform. We hope you found the answers you were looking for. Come back anytime you need more information. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.