1. ) Sixty patients with carpal tunnel syndrome are randomly divided into two groups. One group is treated weekly with both acupuncture and an exercise regimen. The other is treated weekly with the exact same exercise regimen but no acupuncture. After one year, both groups are questioned about their level of pain due to carpel tunnel syndrome.
   1. Is this an experiment or an observation?
   2. If its an experiment, what is the response variable? If its an observation, what are they observing?
   3. Which group serves as the control group?
   4. Identify the subjects.

1. (6 pts) Determine if the variables listed below are qualitative or quantitative. If the variable is quantitative, determine if it is discrete or continuous. State the level of measurement of the variable if applicable:

1. 1. nation of origin
   2. Grams of carbohydrates in a doughnut
   3. Phone number
   4. Number of siblings

1. (2 pts) Following the 2010 national midterm elections, 12% of the governors of the 50 United States were female. Is 12% a parameter or a statistic and why?

1. (5 pts) The Gallup organization conducted a survey in which 1025 randomly sampled adult Americans were asked How much time, if at all, do you personally spend time on the Internet. The results of the survey were as follows:

Response	Frequency
More than 1 hour a day	377
Up to 1 hour a day	192
A few times a week	132
A few times a month or less	81
Never	243

1. 1. Construct a relative frequency distribution. You may add a column to this table.
   2. What percentage of respondents use the internet a few times a week or more?
   3. Construct a pie chart.

1. (9 pts) The acidity of alkalinity of a solution is measured using pH. A pH less than 7 is acidic; a pH greater than 7 is alkaline. The following data represent the pH in samples of bottled water and tap water:

Tap	7.45 7.47 7.50 7.68 7.69 7.45 7.10 7.56 7.47 7.52 7.47
Bottled	5.09 5.26 5.20 5.02 5.23 5.28 5.26 5.13 5.26 5.21 5.24
Source: Emily McCarney,, student at Joliet Junior College

Find the mean, median, and mode pH for each type of water. Comment on the differences between the two water types.

Suppose the pH of7.10 in tap water was incorrectly recorded as 1.70. How does this affect the mean? The median? What property of the median does this illustrate?

1. (14 pts) Using the pH data provided in Question 5:

Find the range for each water type. Which type of water has more dispersion in pH using the range as the measure of dispersion?

Find the standard deviation for each water type. Which type of water has more dispersion in pH using the standard deviation as the measure of dispersion?

Find the interquartile range for each water type.

Construct a boxplot for each water type. Does either water type indicate a positive or negative skew?