AP ReviewInterpreting Things

A certain species of butterfly has wing length which is approx.

normally distributed with average length of 28.0 mm and a standard

deviation of 2.2 mm.

Interpret the standard deviation in context.

A researcher raises these butterflies and has a random sample of 10. Find the mean and standard deviation of

the sample mean wing length of these butterflies.

Interpret the mean of this distribution in context.

A researcher raises these butterflies and has a random sample of 10. Find the mean and standard deviation of

the sample mean wing length of these butterflies.

Interpret the stdev of this distribution in context.

For graduating seniors at a certain college up the road, the average GPA is 2.72 with a standard deviation of 0.65.

Your cousin is graduating from this devilish college and has a GPA of 3.02.

Calculate and interpret your cousin’s relative position.

Your sister spent the last four years working hard (some might say,

Bearing Down!) and she is graduating from the college down the street. The

z-score for her GPA is 2.41.

Interpret your sister’s z-score.

Data was collected on the length of a putt in golf vs. the percentage of time a

putt of that length was successful.

Write the regression equation.

Write the regression equation.

Interpret the slope in context.

Interpret the slope in context.

Interpret the correlation coefficient in context.

Interpret the correlation coefficient in context.

Interpret R-Sq in context.

Interpret R-Sq in context.

Interpret the value of S in context.

Interpret the value of S in context.

The P value is the probability of obtaining an effect at least as extreme as the one in your sample data, assuming the null hypothesis is true.

For example, suppose that a vaccine study produced a P value of 0.04. This P value indicates that if the vaccine had no effect, you’d obtain the observed difference or more in 4% of studies due to random sampling error.

Ho: There is no association between length of putt and success rate.Ha: There is an association between length of putt and success.

P-value = 0.031

Interpret the P-value in context.

P-value = 0.031Interpret the P-value in context.

A 95% confidence interval for the true difference in GPA’s for graduates from the college up the street vs. that of up is (-0.004 0.128).

A 95% confidence interval for the true difference in GPA’s for graduates from the college up the street vs. that of up is (-0.004 0.128).

Interpret the confidence level.

A 95% confidence interval for the true difference in GPA’s for graduates from the college up the street vs. that of up is (-0.004 0.128).

Interpret the confidence interval.