1. (3 points) Draw a histogram for the data set.
2. Title the graph and label the axes appropriately.
3. Does the distribution appear to be normal (yes or no)? Explain.
4. (6 points) Find the following descriptive statistics for the sample data.
Mean
Median
Mode(s)
Range
Variance
Standard Deviation
6. (2 points) Sketch a box plot. Do your best to draw it to scale.
7. (1 point) What is the IQR for this data set?
8. (3 points) Outlier identification
Any data value less than or greater than is to be considered an outlier.
Therefore, the following data values are outliers (write “none” if there are no outliers):
9. (3 points) Construct a 95% confidence interval for the population’s mean.
10. (2 points) If someone were to ask you what this particular confidence interval means, what would you say?
11. (5 points) Test the hypothesis that the population’s mean is different from the sample’s median value. Use a = 0.05.
Alternative hypothesis (H1): Null hypothesis (Ho): Critical value: Test statistic:
Conclusion: Do you reject the null hypothesis(yes or no)?
If someone were to ask what the conclusion means in this particular study, what would you say?
