3 the pH levels for 30 liquids are measured in a laboratory. The data are ordered and shown below.

3.03.3 3.7 4.0 4.04.4 4.5 4.8 4.9 4.9

5.05.05.05.05.05.45.55.65.65.7

5.75.8 5.9 6.1 6.3 6.87.7 7.3 7.78.0

The five-number summary for this data set is calculated to be:

3.0 4.8 5.2 5.98.0

If we created an outlier boxplot for this data set, the lines coming out from (i.e the whiskers) would extend to what values?

A 3.7 and 7.7

B 3.3 and 7.3

C 3.15 and 7.55

D 3.85 and 7.25

E 3.0 and 8.0

4 A small restaurant near the Canada U.S border accepts both Canadian and America money. For sample of days in December, the owner calculates the correlation between the outdoor temperature (in degrees Celsius) and coffee sales (in Canadian dollars) to be r= -0.35. What would be the value of the correlation if temperature had instead been measured in degrees Fahrenheit and sales had instead been measured in America dollars?

Note: 1 U.S $ = 1.32 Cdn. $

Temp. in F= 32 + 1.8* Temp in C

A -0.15

B -0.48

C -0.26

D -0.35

E -0.54

5 At a dividing competition, the considering between the score X given by the German judge and the score Y given by the Russian judge is 0.89. We can conclude that:

A the two judges gave the same score 89%

B when one of the judges gave a high score, the other judge tended to give a high score as well

C the German judge tended to give a higher score than the Russian judge

D the Russian judges score was higher than the German judges score 89% of the time

E German judges score was, on average, only 89% of the Russian judge's score

6 We take a random sample of airline flights and we calculate the following:

The mean flight distance is 3600km.

The mean flight duration is 280 minutes

The standard deviation of distance is 2000 km

The standard deviation of durations is 150 minutes

The correlation between distance and duration is 0.84

Using the least squares regression line, what is the predicted duration of flight with a distance of 3100km? (do not round off in any of your calculations.)

A 255.7

B 248.5

C 240.9

D 244.3

E 251.2

7 which of these about correlation and least squares regression is true?

A positive value of r indicates a strong linear relationship and negative values of r indicate a weak linear relationship

B in order to calculate the correlation we must have an explanatory variable and a response variable

C outliers in the y-direction typically have a stronger effect on the least square's regression line than outliers in the x-direction

D if the sum of squared residuals is equal to zero, then r must be either -1 or 1

E the least squares regression line maximizes the sum of squared residuals

8 in early September, a polling firm conducted a survey in which they selected a random sample of 800 manitobans, asking them the question,

Given the high numbers of Covid 19 in Manitoba recently, do you support the provincial government's response to the pandemic?

Which of the following are true?

(i)This is an example of a leading question

(ii)This survey will likely overestimate the true proportion off Manitobans support the government's pandemic response

(iii)This survey will likely underestimate the true proportion of Manitobans who support the government's pandemic response

(iv)Because this survey used a large random sample. It should produce a reliable estimate of the true proportion of Manitobans who support the governments pandemic response

A I only

B I and III only

C I and II only

D IV only

E I and IV only

9 there are 50 people waiting in line to get into a rock concert. We would like to take a random sample of five people in the line. To do this, we randomly select a number from 1 to 10. We will select the 7^th, 17^th, 27^th, 37^th and 47^th person line. Is the resulting sample a simple random sample?

A yes because every group of five people in line has an equal chance of being selected

B yes because the sample was selected fairly and randomly

C no because every person in line does not have an equal chance to be selected

D yes because every person in line has an equal chance of being selected

E no because every group of five people in line has an equal chance of being selected

10 In which of the following situations would it be possible and appropriate to conduct a well-designed experiment instead of an observational study?

A study examining how having a car accident affects a driver's future confidence on the road

B a study comparing annual salaries of university graduates with a bachelor's degree and those with a master's degree

C a study to examine how different types of background music affects workers productivity at an office

D a study to examine how the size of hailstones in a city affects the number of cars damaged in that city

E all of the above

11 a manufacturer would like to study the effects of table speed; down feed rate and wheel grift on the ceramic strength of a plate. An experiment is conducted in which each ceramic plate will be randomly assigned one of two table speeds (slow or fast) one of two down feed rates (0.05 mm 0r 0.10) and one of the three wheel grifts (80, 100 or 120). Each treatment will be randomly assigned to eight plates. How many plates are needed for this experiment?

A 96

B 64

C 128

D 56

E 48

12 how many of the following four statements about experimental design are true?

(I)Even if we have only conducted an observational study, we are still often able to conclude causation

(II)In a randomized block design, the individuals within each block should be as different as possible

(III)A matched pairs design, the individuals are randomly assigned to the pairs

(IV)In an experiment with two or more treatments, a control group is always necessary to eliminate the placebo effect.

A 4

B 0

C 1

D 2

E 3

12 An America economist is studying the price of tv commercials. He collects data on the price of advertisement over the first three months of the year. He wishes to determine if the location of the tv station (west coast, Midwest, northeast, or southeast) and the affiliation of the tv station (CBS, ABC or NBC) have any effect on the price of a one-minute commercial during the early evening local news broadcast. This is an example of:

A a completely randomize design with two factors

B a randomized block design with flour blocks

C a matched pairs design

D a completely randomized design with 12 factors

E an observational study