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UT Knoxville STAT 201 - Practice Exam 1 - SP11

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21. (3 Points) One of the following statements is incorrect. Which one is it? Circle the incorrect statement. a) One should summarize the spread of a skewed distribution with the IQR. b) For a left-skewed distribution, the mean is smaller than the median. c) For a right-skewed distribution, the mean is larger than the median. d) The mean is a resistant measure of the center of a distribution. e) A histogram displaying a uniform distribution will have no clear mode. 2. Consider the following small data set: 3, 9, 4, 11, 2, 0 These data were analyzed in JMP, and the following output was produced: Use the data set and/or the JMP output to help you calculate the following quantities: i) (3 Points) Mean = ii) (3 Points) Median = iii) (3 Points) IQR = iv) (3 Points) s2 =33. (6 Points) Research exists that states that the darker a person’s hair color, the higher their IQ. Five people are selected with 5 different hair colors and given an IQ test. The results are displayed in the scatterplot below. Does the scatterplot pass the three correlation conditions? List each condition and briefly comment on whether or not the condition is met. 4. (7 Points) In the cells above each column, indicate whether each column represents an identifier variable (I), a categorical variable (C), or a quantitative variable (Q). SS Number Gender Gross Income State County Zip Code Age 111‐11‐1111 1 44123 TN Knox 37920 37 999‐00‐0000 1 18242 WV Kanawha 25306 22 123‐45‐6789 2 77146 CA Lassen 96109 61 987‐65‐4321 1 52171 PA Adams 17316 28 4 5. A group of 17 graduate students volunteered to participate in a study to determine the impact that beer consumption has on Blood Alcohol Content (BAC). The data are displayed in the following scatterplot. 00.050.10.150.20 1 2 3 4 5 6 7 8 9 10Beers i) (2 Points) The direction of the relationship between number of beers and BAC is (Circle the best answer): Non existent negative positive ii) (2 Points) Circle the point on the scatterplot that represents the person that had 3 beers and a BAC of 0.14. iii) (2 Points) The correlation coefficient, r, is .7460. If the observation you circled from part (ii) was removed, what would happen to r? (Circle the best answer) r would stay the same r would increase r would decrease56. An experiment was performed on several grass plants from Quebec and Mississippi. In each case, the CO2 uptake in the grass plants was measured. Use the provided box plots of these data to answer the following questions. In each case, circle the best answer. i) (2 Points) The distribution for the Quebec group appears to be: Symmetric Skewed Left Skewed Right ii) (2 Points) The distribution for the Mississippi group appears to be: Symmetric Skewed Left Skewed Right iii) (2 Points) Which distribution has the smallest IQR? Quebec Mississippi They have very similar IQR's iv) (2 Points) Which distribution has the largest range? Quebec Mississippi They have very similar ranges v) (2 Points) Which distribution appears to have outliers? Quebec Mississippi Neither Both vi) (2 Points) Which distribution appears to have the largest median? Quebec Mississippi They have very similar medians67. A survey was conducted to determine how often people eat fruits and vegetables in a given day. The data are given below and are broken down by education level. Education Level How many times do you eat fruits and vegetables each day? Total Less than 3 times per day 3 or more times per day Less than HS 562 103 665 HS/GED 1322 383 1705 Some post HS 1143 425 1568 College Graduate 368 1132 Total 3791 5070 i) (3 points) Fill in the two missing boxes above. ii) (3 points) What percent of those surveyed eat fruits and vegetables less than 3 times per day? iii) (3 points) What percent of those who reported they had less than a HS education eat fruits and vegetables 3 or more times per day? iv) (3 points) What percent of those surveyed have some post HS education and eat fruits and vegetables 3 or more times per day? v) (3 points) What percent of those who reported they eat fruits and vegetables less than 3 times per day have only a high school diploma/GED?78. A survey was conducted of 500 students to determine what time of day they prefer to study. i) (2 Points) Based on the following chart, does there appear to be a relationship between gender and the preferred study time? (Circle one) Relationship No Relationship ii) (4 Points) Briefly explain why you answered part (i) above the way you did.89. (3 Points) The average NCAA basketball player made 68.8% of their free-throws last season. I made 60% of my free-throws last season. Assume the distribution of this characteristic for NCAA basketball players is approximately normal. Explain why, without any further information, I am unable to calculate what percent of NCAA basketball players I shoot better than from the free-throw line (even if I had access to the Normal Curve Calculator on the internet). Limit your explanation to 2 or less sentences. 10. Tylenol Extra Strength reports that their pills are 500mg. This is not exact, in fact the weight of the pills (as initially manufactured) is normally distributed with a mean of 500mg and standard deviation of 2.7mg. Tylenol carefully inspects the size of the pills it produces because if pills are too small customers complain that it does not work, but if they are too large the pills could be dangerous. Because of this, Tylenol rejects (does not package or sell) any pill that is below 494.55mg or above 505.35 mg. i) (4 points) Out of 10,000 pills initially manufactured, approximately how many would you expect to be rejected?9Problem 10 (Continued) ii) (5 points) Suppose Tylenol wants to be more cautious and only sell the best 75% of pills they initially manufacture (the 75% of pills initially manufactured closest to 500mg). Use the applet below to help you calculate the range of weights (in mg) that would be acceptable to sell based on the new standard.10Problem 10 (Continued) iii)


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UT Knoxville STAT 201 - Practice Exam 1 - SP11

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