Margin of Error

For a class project, a student in a statistics class surveys the monthly rent for 32 unfurnished one-bedroom apartments in Boston and finds the mean monthly rent to be $1400 with a standard deviation of $220.

Find the margin of error for the sample mean. (assuming 95% confidence) Round to the nearest hundredth

• $77.78

• $4.31

• $188.78

• $494.97

Tags

CCSS.HSS.IC.B.4

CCSS.HSS.ID.A.4

A sample of n students were asked for the average amount of money they spend in a day. The data resulted in a mean of $5.50 with a standard deviation of $2.45. If the margin of error was $0.31, how many students were in the sample? Round to the nearest whole student

• 250

• 16

• 100

• 500

Tags

CCSS.HSS.IC.B.4

Researchers want to estimate with 95% confidence the true mean pulse rate of American adult males who jog at least 15 miles per week. They survey 21 males and find the sample mean pulse rate to be 52.6 beats per minute and a standard deviation of 3.22 beats per minute. Find the margin of error for the mean pulse rate of all American adult males who jog at least 15 miles per week. Round to the nearest tenth.

• 1.4 beats per minute

• 1.7 beats per minute

• 0.9 beats per minute

• 4.1 beats per minute

Tags

CCSS.HSS.IC.B.4

Complete the following statement about the change in size.

If you increase the size of your sample, the ME will . . . .

• increase

• decrease

• stay the same

Tags

CCSS.HSS.IC.B.4

Complete the following statement about the change in size.

If your sample has a larger mean, the ME will . . . .

• increase

• decrease

• stay the same

Tags

CCSS.HSS.IC.B.4

Complete the following statement about the change in size.

If your sample has a larger standard deviation, the ME will . . . .

• increase

• decrease

• stay the same

Tags

CCSS.HSS.IC.B.4

Match the following Percent to its corresponding Decimal

• 0.5

• 5%

• 0.05

• 0.523%

• 0.0523

• 5.23%

• 0.00523

• 52.3%

• 0.523

• 50%

The first step in solving a MOE (margin of error) problem is to convert your percentages to decimals and find your 2 new percentages.

You do this by taking your TOTAL percent (52% of females) and adding/subtracting the MOE (±2.3%).

What are the 2 new decimal numbers you have computed?

• 49.7

• 0.497

• 54.3

• 0.543

Tags

CCSS.HSS.IC.B.4

Now take your TOTAL (14,343 female students) and MULTIPLY by the MOE decimals you computed in the last slide (0.497 and 0.543)

What is the range of female students that have an after school job?

Type your answer from least - greatest.