1.A restaurant chain collected data on total fat (denoted by fat) in grams and the protein content in grams for various items on their menu. Some summary statistics of this data are shown below:

protein fat

Mean 30.8 32.7

Standard deviation 8.5 7.9

The least-squares regression equation for predicting total fact from protein content is fat = 8 .5 + 0.8 protein. Calculate the correlation between protein and fat.

(a)0.74

(b)0.55

(c)0.86

(d)0.93 (e) 0.96

2.A random sample of 150 yachts sold in Canada last year was taken. A regression to predict the price (in thousands of dollars) from length (in feet) has an R² = 19.00%. What would you predict about the price of the yacht whose length was one standard deviation above the mean?

(a)The price should be 1 standard deviation above the mean in price.

(b)The price should be 0.436 standard deviations above the mean in price.

(c)The price should be 1 standard deviation below the mean in price.

(d)The price should be 0.900 standard deviations above the mean in price. (e)The price should be 0.872 standard deviations above the mean in price.

3.A researcher wants to investigate whether different forms of exercise can be used to help hyperactive children. A group of 90 children is divided into two groups according to age - those aged 9-12 and those aged 5-9. Within each age group the children are randomly assigned to one of three groups. The first group will just do their normal exercise. The second group will be given an additional exercise routine (moderate). The third group will be given an additional exercise routine (strenuous). At the end of a four month period parents will be asked to evaluate their children's progress. Is this a completely randomized design or a randomized block design? Describe Design of Experiment.

(a)Completely randomized over one factor (exercise).

(b)Randomized block design, blocking on age, with one factor, exercise. (c)Randomized block design, blocking on exercise, with one factor, age.

(d)Completely randomized over two factors, exercise and age.

(e)None of the above.

4.The pie chart below shows the percentage of students in each faculty at a university.

If the number of students in the faculty of Arts is 3000, then how MANY students are there in the faculty of Science?

(a)3400

(b)3600

(c)3800

(d)4000 (e) 4200

5.A physician wants to describe the distribution of birthweights (in kilogram) for babies born in a certain hospital. What type of a variable is birthweight?

(a)Nominal

(b)Qualitative (c) Ordinal

(d)Categorical

(e)Quantitative

6.The correlation(r) between two quantitative variables x and y is zero. Based on this information we can conclude that:

(a)we have done something wrong in our calculation of r.

(b)there is no association between the two variables.

(c)there is a non-linear association between the two variables.

(d)we can increase the correlation by applying an appropriate linear transformation on x or y.

(e)there is no linear association between x and y.

7.Table below shows the association between 1500 respondents' food insecurity and their highest level of education. Each cell in the table displays two values. The first value is a cell count and the second value is a kind of percentage.

Contingency table results:

Rows: Highest Education

Columns: Food Insecurity

Food Secured

Moderate Food Insecure

Severe Food Insecure

Total

Some High School

218

15

8

241

(90.46%)

(6.22%)

(3.32%)

(100%)

High School Diploma

268

18

7

293

(91.47%)

(6.14%)

(2.39%)

(100%)

Some Post-Secondary

64

11

5

80

(80%)

(13.75%)

(6.25%)

(100%)

Post-Secondary

828

41

17

886

(93.45%)

(4.63%)

(1.92%)

(100%)

Total

1378

85

37

1500

(91.87%)

(5.67%)

(2.47%)

(100%)

What kind of percentages (e.g., row, column, total) are displayed in each cell?

(a)Row percentages

(b)Column percentages

(c)Joint percentages

(d)Total percentages

(e)We cannot determine the percentages based on the given information

8.Nearly 10000 high school students across 10 countries were surveyed about their sleep habits and their performance in school. Based on the results, the researchers concluded that lack of sleep is linked to poor grades in school. Which of the following statements regarding this study and its conclusions is true?

(a)This is an experiment. Therefore, researchers can conclude that lack of sleep causes poor grades.

(b)This is an experiment. Therefore, researchers cannot conclude that lack of sleep causes poor grades

(c)This is an observational study. Therefore, researchers cannot conclude that lack of sleep causes poor grades.

(d)This is an observational study. Therefore, researchers can conclude that lack of sleep causes poor grades.

(e)This is neither an experiment nor an observational study.

9.In a clinical trial, 780 participants suffering from high blood pressure were randomly assigned to one of three groups. Over a onemonth period, the first group received a low dosage of an experimental drug, the second group received a high dosage of the drug, and the third group received a placebo. The diastolic blood pressure of each participant was measured at the beginning and at the end of the period and the change in blood pressure was recorded. Identify the levels of the factor.

(a)The experimental drug

(b)High blood pressure, low blood pressure

(c)The one-month period

(d)Placebo, low dosage, high dosage

(e)Diastolic blood pressure at the start, diastolic blood pressure at the end

10.Data were collected on annual rain fall (y), and maximum daily temperature (x) in 11 sites in Mongolia (Central Asia). The scatterplot of y against x was approximately linear.

The estimated correlation coefficient was r = 0.92.

The regression function is: y = 2970.65 114.75x

Approximately, what is the estimated coefficient of determination?

(a)0.92

(b)114.75 (c) 0.96

(d)2970.65

(e)0.85

11.Which of the labeled points below will exert the largest leverage on a linear model of the data?

x

(a)Point A

(b)Point B

(c)Point C

(d)Point D

(e)Point E

12.Suppose that the average amount of sugar a person eats per year is 5 kg with a standard deviation of 1.7 kg. How many standard deviations from the mean is the consumption of 14 kg of sugar?

(a)About 3.00 standard deviations above the mean

(b)About 3.00 standard deviations below the mean

(c)About 2.94 standard deviations above the mean

(d)About 5.29 standard deviations above the mean (e)About 5.29 standard deviations below the mean

13.An education researcher was interested in examining the effect of the teaching method and the teacher on students' reading levels. 257 students participated in an experiment. There were two different teachers (Juliana and Felix) and three different teaching methods (A, B, and C). Students were randomly assigned to a teaching method and teacher. At the end of the semester the students took a reading test on which they received a score out of 20. Students who studied with Felix using method B achieved the highest scores. Identify the factor(s) in the experiment and the number of levels for each.

(a)Score on reading test (20 levels)

(b)The teacher and teaching method combination (6 levels)

(c)Juliana and method A, Juliana and method B, Juliana and method C, Felix and method A, Felix and method B, Felix and method C (6 levels)

(d)Teaching method (3 levels), teacher (2 levels), score on reading test (20 levels)

(e)Teaching method (3 levels) and teacher (2 levels)

14.In a survey, students are asked how many hours they study in a typical week. A five-number summary of the responses is: 2, 7, 14, 19, 39. Which interval describes the number of hours spent studying in a typical week for about 25% of the students sampled?

(a)2 to 14

(b)2 to 39

(c)7 to 19

(d)14 to 39 (e)19 to 39

15.Shown below is the histogram for the reading scores of 29 fifth graders.

Which measures of centre and spread would you use for this distribution?

(a)Mean and standard deviation, because the data is symmetric.

(b)Median and Inter quartile range, because the data is skewed to the left.

(c)Mean and standard deviation, because the data is skewed to the left.

(d)Mean and Inter quartile range, because the data is skewed to the left.

(e)Median and standard deviation, because the data is skewed to the left.

16.A restaurant chain collected data on total fat (denoted by fat) in grams and the protein content in grams for various items on their menu. Some summary statistics of this data are shown below:

protein

fat

Mean

33.5

34.8

Standard deviation

10.7

9.1

The correlation between protein and fat is r = 0.9. Calculate the y-intercept of the regression line for predicting fat based on protein.

(a)6.86

(b)1.3

(c)9.16

(d)-25.64

(e)60.44

17.An item on the Adult Literacy and Life Skills (ALLS) survey asked 45,900 randomly selected adult Canadian to indicate their agreement with the statement "I have math skills to do main jobs well". The responses to this ALLS statement were on a 4-point Likert scale (1 = "Strong Disagreement" to 4 = "Strong Agreement"). Below is the frequency distribution table for the responses to this ALLS statement.

Frequency table results for Responses:

Count = 45900

Response

Frequency

Percent of Total

1: Strongly Disagree

397

0.9

2: Disagree

1571

3.4

3: Agree

16761

36.5

4: Strongly Agree

27171

59.2

What is the mode response to this ALLS statement?

(a)1

(b)59.2

(c)27171

(d)45900

(e)4

18.Researchers at the Universities of Memphis, Alabama at Birmingham, and Tennessee investigated the relationship between insomnia and education status. A random-digit telephone dialing procedure was used to collect data on 575 study participants. In addition to insomnia status (normal sleeper or chronic insomniac), the researchers classified each participant into one of the four education categories (college graduate, some college, high school graduate, and high school dropout). They measured each participant's daytime functioning, which is called Fatigue Severity Scale (FSS). The data were analyzed. The result of this study indicated that the fewer years of education, the more likely the person was to have chronic insomnia. Identify the response variable(s) for this study.

(a)Education, Insomnia

(b)Education, Insomnia, FSS

(c)FSS

(d)Insomnia

(e)FSS, Insomnia

19.A newspaper wants to determine whether its readers believe that government expenditures should be reduced by cutting benefits for the people with disabilities. They provide an Internet address for readers to vote yes or no. Based on 1434 Internet votes, they reported that 93% of the city's residence believe that benefits should be reduced. Identify the type of sampling used in this study?

(a)Representative sampling

(b)Probability Sampling

(c)Stratified sampling

(d)Cluster sampling

(e)Volunteer sampling

20.The Test of English as a Foreign Language Skills (TOEFL) scores are approximately normally distributed with a mean of 540 and standard deviation of 60. Using the Empirical Rule (the 68-95-99.7% Rule), approximately, what percentage of the TOEFL scores are between 480 and 660?

(a)68 percent

(b)95 percent

(c)34 percent

(d)48 percent (e) 82 percent

21.Which of the following variables is NOT a Quantitative variable?

(a)Time (in minutes) to finish a survey regarding school experience

(b)Number of Ontario students who are involved in volunteer activities at their

school

(c)Type of physical activity ("Walking", "Running", "Cycling", "Swimming")

(d)Age (in years) of each student in STAB22

(e)Number of UTSC courses completed by each student in STAB22

22.Suppose there is a correlation of r = 0.8 between number of hours per day the students study and GPAs. Which of the following is a reasonable conclusion?

(a)80% of the students who study receive high grades.

(b)80% of the students who receive high grades study a lot.

(c)80% of the variation in GPAs can be explained by the linear regression model of GPA on the number of study hours.

(d)89% of the variation in GPAs can be explained by the linear regression model of GPA on the number of study hours.

(e)64% of the variation in GPAs can be explained by the linear regression model of GPA on the number of study hours.

23.According to the U.S. Bureau of the Census, the 2013 mean earnings in the past 12 months were $31,968 for females and $50,779 for males. The results refer to 110 million females and 109 million males. Find the overall mean.

Hint: Find the weighted average and use n_females = 110,n_males = 109 in your calculation.

(a)$41,374

(b)$41,331

(c)$32,200

(d)$31,968 (e) $50,779

24.Green sea turtles have normally distributed weights with a mean 134.3 kg and standard devistion 7 kg. A particular green sea turtle's weight has a z-score of 1.2. What is the weight of this green sea turtle? Round to the nearest whole number.

(a)143 kg

(b)126 kg

(c)136 kg

(d)133 kg (e) 141 kg

25.A survey is conducted regarding a proposed change to exam policy in a statistics class at a school. The table below shows the results of the survey by year of the student (first, second and third year) and whether they are in favour, against, or undecided about the change.

In favour

Against

Undecided

Total

First Year

32

16

10

58

Second Year

24

12

28

64

Third Year

50

3

2

55

Total

106

31

40

177

At this school, first and the second year students are called junior undergraduates and the third and fourth year students are called senior undergraduates. (This statistics class did not have any fourth year students) What percenetage of all junior undergraduates are against the change to exam policy?

(a)23 percent

(b)90 percent

(c)16 percent

(d)46 percent (e) 50 percent