Statistics Population 7.4

If the 95% Confidence Interval for a population mean is (114.56, 125.54), then is it likely that the true population mean µ is greater than 130?

• Yes

• No

• Not enough information

• I have no idea what you're asking of me

You are given two sets of data measuring the same information, both with the same sample size. Set A has a larger Standard Error than Set B. If you were looking for a 99.8% Confidence Interval, which set would have a larger Margin of Error?

• Set A

• Set B

• Not enough information

• I have no idea what you're asking me to do

Tags

CCSS.HSS.IC.B.4

True or False:

The larger your confidence interval is, the more sure (higher confidence level) you can be.

• True

• False

• Possibly

A sample of 20 cupcakes found the interval for average calories to be (150, 350). Which is the correct interpretation of the 95% confidence interval?

• We are 95% confident that the true mean caloric content can be found with a sample of 150 to 350 cupcakes.

• We are 95% confident that the interval (150, 350) captures the true average caloric content.

• We are 95% confident that a sample of 20 cupcakes will find 250 calories per cupcake.

• None of these are correct.

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.4

A pew poll asked 1005 people: Which over the counter drug do doctors recommend to prevent heart attacks. Of 1005, 914 chose aspirin. Report a 95% confidence interval.

• 56% to 63%

• 80% to 87%

• 88% to 96%

• 90% to 93%

In 2009, A gallup poll of 1027 young adults, found that 770 of the respondents wanted congress to pass a stimulus bill to rescue the economy. The poll found that 770 of the respondents wanted the bill to pass. Report the 95% confidence interval.

• 61% to 67%

• 72% to 78%

• 82% to 86%

• 87% to 91%

In a simple random sample of 1500 young Americans, 87% had earned a high school diploma. Using a 95% confidence level, find the margin of error.

• 1.7%

• 4.6%

• 12.7%

• 21.2%

In a simple random sample of 1500 young Americans, 87% had earned a high school diploma. Find the confidence interval.

• (52.7%, 61.3%)

• (85.3% , 88.7%)

• (72.5%, 81.2%)

• (80.2%, 86.3%)

In a simple random sample of 1200 Americans age 20 and over, the proportion of diabetes was found to be 0.115 (or 11.5%). For a 95% confidence interval, what is the margin of error?

• 12.7%

• 5.8%

• 3.5%

• 1.8%

In a simple random sample of 1200 Americans age 20 and over, the proportion of diabetes was found to be 0.115 (or 11.5%). What is the 95% confidence interval ?

• 9.7 to 13.3

• 8.3 to 11.2

• 5.7 to 15.2

• 12.2 to 8.7