You collect a random sample of size n from a population and from the data collec

Question

You collect a random sample of size n from a population and from the data collected compute a 95% confidence interval for the mean of the population. Which of the following would produce a new confidence interval with larger width (larger margin of error) based on these same data?

Use a larger confidence level.

Nothing can guarantee absolutely that you will get a larger interval. One can only say the chance of obtaining a larger interval is 0.05.

Use the same confidence level but compute the interval n times. Approximately 5% of these intervals will be larger.

Use a smaller confidence level.

Use a larger confidence level.

Nothing can guarantee absolutely that you will get a larger interval. One can only say the chance of obtaining a larger interval is 0.05.

Use the same confidence level but compute the interval n times. Approximately 5% of these intervals will be larger.

Use a smaller confidence level.

Explanation / Answer

IT IS A FACT THAT WHEN WE USE THE HIGHER CONFIDENCE LEVEL THE WIDTH OF THE INTERVAL INCREASES AS THE 90% CONFIDENCE INTERVAL WILL BE SMALLER IN WIDTH AS COMPARED TO 95% INTERVAL. THEREFORE HERE TO INCREASE THE WIDTH WE CAN USE THE HIGHER CONFIDENCE INTERVAL

HENCE OPTION A IS CORRECT

Related Questions

Navigate

• Browse (All)
• Browse Y
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.