Empirical Rule
Sampling Types
Normal CDF
Margin of Error
Z-Scores
100

The % of a normal distribution that is within one standard deviation of the mean.

What is 68%

100

The sampling type when numbers are assigned to each member of the population, then a random number generator is used to select 25 of them.  

What is Simple Random or SRS sampling

100

The four things you will need to put in the calculator to find the % of data in a range of a normal distribution

What is lower limit, upper limit, mean and standard deviation

100

The confidence interval of a candidate that is reported to have 42% of the vote with a margin of error of +/- 3%

What is 39%to 45%

100

The z score of 33 in a normal distribution with a mean of 30 and a standard deviation of 3.

What is 1

200

95% of the data in a normal distribution are within this many standard deviations of the mean.

What is plus or minus 2 standard deviations of the mean.

200

The sampling type when a researcher selects every 10th member of the population

What is Systematic sampling

200

The probability of between 77 and 90 in a normal distribution with a mean of 75 and a standard deviation of 4

What is .308

200

The way we determine that there IS a clear winner

What is there is NO OVERLAP in the confidence intervals

200

The z-score of 345 in a normal distribution with a mean of 500 and a standard deviation of 200

What is -.775

300

The % of a normal distribution that are above the mean (greater than the mean)

What is 50% (since a normal distribution is symmetric - half the data above, half the data below the mean.)

300

The sampling type when customers are asked to respond to a survey by calling the number on the receipt.

What is Self-Selected sampling

300

The probability of less than 16 in a normal distribution with a mean of 19 and a standard deviation of 2.5

What is .115

300

The predicted outcome when a recent poll reported that Johnny had 55% of the vote and Molly had 45% of the vote with a 4% margin of error.  

What is Johnny is expected to be the winner

300

When a student has an ACT score with a z-score of 1.7 and an SAT score with a z-score of -1.8, this is the score they should submit to the college they wish to attend.

ACT score.  (It is better than average, but the SAT score is worse than average)

400

The % of the data below 80 in a normal distribution with a mean of 100 and a standard deviation of 10

What is 2.5%

400

The sampling type when a polling company selects 100 randomly selected voters from each voting precinct to poll.

What is Stratified Random sampling (some from every group)

400

The probability of at least 109 in a normal distribution with a mean of 200 and a standard deviation of 57

What is .945

400

The prediction when the poll reports that 47% of people prefer Colgate and 53% prefer Crest with a margin of error of +/- 6%

There is no clear outcome (because the intervals overlap)

400

The z-score that represents three and a half standard deviations lower than average

What is a z-score of -3.5

500

The % of the data that are at most 110 in a normal distribution with a mean of 100 and a standard deviation of 10.

What is 84%

500
The sampling type when the principal selects 5 of the language arts classes to answer questions about the quality and variety of lunch choices.

What is Cluster sampling (all of a few groups)

500

P(x > 79) in a normal distribution with a mean of 81 and a standard deviation of 3.7.

What is .706

500

The confidence interval and interpretation when the report states that Governor Barnum is winning with 54% of the vote (margin of error of +/- 2%)

What is 52 to 56 and Governor Barnum is expected to win because he has more than 50% of the vote even with his least value of 52%

500

The interpretation of a z-score of 2.5 in a distribution of the heights of 8 year-olds

What is a height that is 2.5 standard deviations taller than  average