my budget for the study has been increased, so that i can take a sample of 3600 rather than the sample of 400 i was originally going to take!Consider the situation described in the image above. The result of this is that their confidence interval will now be: Group of answer choices about 9 times wider about 3 times wider pretty much unchanged about 1/3 as wide about 1/9 as wide
Question
my budget for the study has been increased, so that i can take a sample of 3600 rather than the sample of 400 i was originally going to take!Consider the situation described in the image above. The result of this is that their confidence interval will now be:
Group of answer choices
about 9 times wider
about 3 times wider
pretty much unchanged
about 1/3 as wide
about 1/9 as wide
Solution
The confidence interval will be about 1/3 as wide.
Here's why: The width of a confidence interval is inversely proportional to the square root of the sample size. If you increase your sample size from 400 to 3600, you're increasing it by a factor of 9. The square root of 9 is 3, so your confidence interval will be 1/3 as wide with the larger sample size.
Similar Questions
my budget for the study has been decreased, so I can only take a sample of 400 rather than the sample of 3600 I was originally going to take. Consider the situation described in the image above. The result of this is that their confidence interval will now be: a. about 3 times wider b. about 1/9 as wide c. about 1/3 as wide d. about 9 times wider e. pretty much unchanged
Consider the situation described in the image above. The result of this is that their confidence interval will now be: Group of answer choices about 3 times wider pretty much unchanged about 1/9 as wide about 1/3 as wide about 9 times wider
My budget for the study has been increased so that i can take a sample of 7200 rather than the sample of 800 i was oringinally going to take! what happen with the confidence interval
The width of a confidence interval increases as the level of significance increases.Group of answer choicesTrueFalse
Examine the following statements and then select the one statement that is correct.Group of answer choicesA wider confidence interval means less confidence in the estimate (all other things being equal).A narrower confidence interval is always better than a wider confidence interval.For a 95% confidence interval for a population mean, there is a 95% chance that the confidence interval includes the sample mean.The width of a confidence interval is affected by both the sampling error and the required level of confidence.
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