The following data represent the weights (in grams) of a simple random sample of 35 M&M plain candies.

0.87	0.88	0.90	0.90	0.84	0.85	0.91
0.86	0.88	0.87	0.89	0.91	0.86	0.87
0.95	0.87	0.93	0.91	0.85	0.91	0.91
0.84	0.88	0.88	0.89	0.79	0.82	0.83
0.93	0.81	0.90	0.88	0.92	0.85	0.84

Use this data set to answer the next 5 questions.

1. Compute the following descriptive statistics being sure to include the appropriate units. Round each answer to 2 decimal places.

Mean:

Range:

Standard Deviation:

2. Compute the 5 number summary being sure to include the appropriate units. Round each answer to 2 decimal places.

Minimum:

Q1:

Median:

Q3:

Maximum:

3. Compute the IQR, lower fence and upper fence being sure to include appropriate units. Round each answer to 2 decimal places.

IQR:

Lower Fence:

Upper Fence:

4. Based on the upper and lower fences, are their any outliers in this data set? Briefly explain.

5. Make a boxplot of this data set being sure to clearly label it.

6.Compute the z-score for both the minimum and the maximum data values in this data set. Give answers rounded to 2 decimal places.

z-score for minimum:

z-score for maximum:

7. Based on the z-scores computed in the previous question, are the minimum and/or maximum data values in this data set considered outliers? Briefly explain.

8. The lifespan of gorillas in a particular zoo is normally distributed with a mean of 20.8 years and a standard deviation of 3.1 years.

1. What is the life span for the middle 68% of gorillas at this zoo?

2. Approximately what percent of gorillas at this zoo live between 11.5 years and 30.1 years?

3. 2.5% of gorillas at this zoo have a life span longer than what?

Researchers conducted a study to determine which of two treatments, A or B, is more effective in the treatment of kidney stones. The results of their experiment are given in the following table.

	Treatment A	Treatment B	Total
Effective	273	289	562
Not Effective	77	61	138
Total	350	350	700

1. Which treatment appears to be more effective? Briefly explain.

The data in the table above do not take into account the size of the kidney stone. The data shown next indicate the effectiveness of each treatment for both large and small kidney stones.

	Small Stones	Large Stones
	A	B	A	B
Effective	81	234	273	55
Not Effective	6	36	77	25

1. Use the data table above to answer the following questions. Round proportions to 2 decimal places.

1. Determine the proportion of small kidney stones that were effectively dealt with using treatment A.

2. Determine the proportion of small kidney stones that were effectively dealt with using treatment B.

3. Determine the proportion of large kidney stones that were effectively dealt with using treatment A.

4. Determine the proportion of large kidney stones that were effectively dealt with using treatment B.

5.Using the proportions in the previous question, create a stacked bar chart to display the data.

6. Write a statement detailing your findings. Use complete sentences, proper grammar and punctuation.