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QUESTION 1 1. A discrete variable assumes values that can be counted. True False 3 points QUESTION 2 1. The Empirical Rule can be applied to any distribution regardless of its shape. True False 3 points QUESTION 3 1. The median of a data set is also the value for Q₂. True False 3 points QUESTION 4 1. The weight of a football player is an example of a continuous variable. True False 3 points QUESTION 5 1. The area under the normal curve to the left of the mean is 68%. True False 3 points QUESTION 6 1. If a researcher manipulates one of the variables and tries to determine how the manipulation influences other variables, the researcher is conducting an experimental study. True False 3 points QUESTION 7 1. The regression line y’ = - 4.5 – 6.7x has a slope of - 6.7. True False 3 points QUESTION 8 1. When a distribution is bell-shaped, the approximate percentage of data values that will fall within one standard deviation of the mean is: a. 75% b. 95% c. 50% d. 68% 3 points QUESTION 9 1. _______ is a statistical method used to determine whether a linear relationship between variables exists. a. Regression b. Skewness c. Variance d. Correlation 3 points QUESTION 10 1. If a data set shows that 24 out of 72 orders in a restaurant are for pepperoni pizzas, what is the percentage of pepperoni pizzas that would be represented on a pie graph? a. 25% b. 24% c. 50% d. 33.3% 3 points QUESTION 11 1. Determine the median for the following data set: 7, 10, 11, 9, 24, 7 a. 11 b. 10 c. 9 d. 9.5 3 points QUESTION 12 1. A recent statistics exam yielded the following 15 scores. 65, 99, 80, 67, 93, 61, 76, 86, 79, 71, 85, 92, 78, 87, 82 a. Construct a stem and leaf graph for the data typing the answers here. (do not use Excel). (5 points) b. Describe the distribution of the exam scores. Are they left skewed, right skewed, or symmetrical? (5 points) 10 points QUESTION 13 1. Given the following data: Average speed: 325 349 313 230 270 305 14. a. Find the mean, mode, and median of the Average speed. (6 points) 1. 15. Find the 5-number summary for the Average speed. (5 points) 1. 16. Find the IQR for the Average speed (5 points) 1. 17. Draw a boxplot with paper and pencil (do not use Excel). (5 points) 21 points QUESTION 14 1. The mean number of calories in a bagel is 200. If the standard deviation is 30 calories, what is the range in which at least 68% of the data will lie? Assume a normal distribution. For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). 5 points QUESTION 15 1. The average number of milligrams (mg) of sodium in a certain brand of low–salt microwave frozen dinners is 640 mg, and the standard deviation is 15 mg. Assume the variable is normally distributed. 1. a. Find the z-score for a value of 620 mg. (5 points) 1. 2. Find the probability that a randomly selected dinner will have more than 620 mg of sodium. (5 points) 10 points QUESTION 16 1. A study was conducted to determine if there is a correlation between a person’s age and his/her peak heart rate. The following data is recorded. Age Peak heart rate 16 220 26 194 32 193 37 178 42 172 53 160 48 174 21 214 a. Draw a scatter plot with paper and pencil (do not use Excel). (5 points) b. Describe the relationship between the two variables. Is there a linear relationship? If there is, describe it as positive or negative and strong or weak? (5 points) c. If the regression equation is: y’ = -1.5618x + 241.81, calculate the peak heart rate for an age of 50. (5 points) 15 points QUESTION 17 1. Construct a histogram using paper and pencil (do not use Excel) for the following data. Use the class limits given below! (4 points). Give an explanation about the distribution of the data. Is it left-skewed, right-skewed, or symmetrical? (2 points). 150 125 135 200 165 180 175 165 155 155 123 135 195 145 205 175 120 225 220 182 Class Limits: 120 – 129 130 - 139 140 – 149 150 – 159 160 – 169 170 – 179 180 – 189 190 – 199 200 – 209 210 – 219 220 - 229 6 points QUESTION 18 1. Find a student's GPA if the student has taken 3 classes. The student received a D in history which is a 3 credit course, a B in Accounting which is a 4 credit course and an A in Descriptive Statistics which is a 3 credit course. An A is worth 4 points, B is worth 3 points, and D is worth 1 point. (<=2 points)="" for="" the="" toolbar,="" press="" alt+f10="" (pc)="" or="" alt+fn+f10="" (mac).="" paragraph="" arial="" 2="" points="" (extra="" credit)="" ="" question="" 19="" 1.="" x is="" a="" normally="" distributed="" random="" variable="" with="" a="" mean="" of="" 7.5="" and="" a="" standard="" deviation="" of="" 2.5. ="" find="" the="" value="" of x for="" which="" 65%="" of="" the="" area="" under="" the="" distribution="" curve="" lies="" to="" the="" left="" of=""><=3 pts) for the toolbar, press alt+f10 (pc) or alt+fn+f10 (mac). paragraph arial 10pt pts)="" for="" the="" toolbar,="" press="" alt+f10="" (pc)="" or="" alt+fn+f10="" (mac).="" paragraph="" arial="">