Margin of Error

A recent survey found that out of 400 random American adults, 89% pay their bills on time. The margin of error in this survey was 2%. What is the interval of values in which the truth is likely found?

• 89% - 91%

• 87% - 89%

• 87% - 91%

• 388 - 402

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.4

Why is a sample of 1000 people better than a sample of 100 people?

• It reduces the margin of error.

• It decreases bias.

• Having more people is always better.

• More people means that our results are more accurate.

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.4

Find the area of the shaded region.

• 16%

• 84%

• 68%

• 34%

Tags

CCSS.HSS.ID.A.4

You have a mean of 56 and a standard deviation of 4.3. What is +2 standard deviations from the mean?

• 60.3

• 47.4

• 51.7

• 64.6

Tags

CCSS.HSS.ID.A.4

Frannie and Fiona collect data comparing students' GPA and how many hours per week they spend doing extracurricular activities. This is best described as a(n)

• observational study

• matched pairs design

• experiment

• survey

Tags

CCSS.HSS.IC.B.3

A study by the department of education in a certain state found that there was a mean SAT score of 534 with a margin of error of 20.

Which score(s) would fall outside the confidence interval?

• 505

• 530

• 550

• 558

A study was commissioned to find the average water bill of a particular town.

The confidence interval created was between $44-$56.

What was the margin of error?

• $4

• $50

• $6

• $12

A random sample of 45 life insurance policy holders showed that the average premiums paid on their life insurance policies was $340 per year with a standard deviation of $62. Construct a 95% confidence interval for the population mean. Round to the nearest hundredth

• [321.52, 358.48]

• [238.63, 441.37]

• [253.64, 426.36]

• [328.57, 351.43]

According to the empirical rule, what percentage of data falls within 1 standard deviation? 

• 25%
• 68%
• 95%
• 99.7%

According to the empirical rule, how much of the data falls within 3 standard deviations? 

• 25%
• 68%
• 95%
• 99.7%