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Statistics Summary Review IB Math A and I

Total questions: 50

Worksheet time: 1hrs 3mins

Name
Class
Date
1.

Determine the number of significant digits of 4.7500

a)

3

b)

4

c)

5

d)

6

2.

Determine the number of significant digits of 0.0080500

a)

2

b)

3

c)

8

d)

5

3.
Some months have 31 days. How many have 28?
a)
none
b)
1
c)
11
d)
12
4.
To find the _________ you add up all the numbers and then divide by how many numbers you have.
a)
Mean
b)
Median
c)
Mode
d)
Range
5.
To find the ______ you put all numbers in order from least to greatest and then take the largest number minus the smallest number.
a)
Mean
b)
Median
c)
Mode
d)
Range
6.

To find the ______ , see which number you have the most of. It might help to put them in order or make a bar graph/histogram.

a)

Mean

b)

Median

c)

Mode

d)

Range

7.
To find the ________ you put all numbers in order from least to greatest and find the number that is in the middle.
a)
Mean
b)
Median
c)
Mode
d)
Range
8.

What is 3/7 chicken, 2/3 cat, and 2/4 goat?

a)

Pig

b)

Chicago

c)

Cow

d)

Bacon

9.

Find the range.

5, 15, 10, 20, 15, 10, 15

a)

5-20

b)

10

c)

15

d)

13

10.
This is a histogram
a)
true
b)
false
11.
How many cities have temperatures between 70 degrees and 99 degrees?
a)
44
b)
34
c)
26
d)
62
12.
How many people were in the survey?
a)
110
b)
220
c)
300
d)
330
13.
What is the median length?
a)
40.5 cm
b)
30 cm
c)
24.5 cm
d)
32 cm
14.

State whether the data are discrete or continuous.

a)

discrete

b)

continuous

15.

What is the expected value of a female who likes Pepsi?

a)

10.5

b)

11

c)

14.5

d)

6.3

16.

What is the

χ2 calculated value for the following situation.

a)

6.65

b)

6.66

c)

0.00991

d)

1

17.

If the χ2 critical value = 5.99 and the

χ2 calculated value = 7.35, what is the conclusion

a)

Reject Ho, accept H1

b)

Accept Ho, reject H1

c)

there is not enough info to decide

d)

The conclusion can only be made if we also know the p-value

18.

What is the null hypothesis?

a)

Injury type is independent of position played

b)

Injury type is dependent on the position played independent

c)

Injury type is correlated to position played.

19.

If we are testing at a 5% significance level and our p-value is 0.00453, what is the conclusion?

a)

Accept Ho

b)

Reject Ho

c)

We need to know chi-squared

d)

You cannot do this problem without a calculator

20.

Find the chi-squared calculated value for the table.

a)

0.486170447

b)

1.442392006

c)

1.45

d)

2

21.

Given that the chi-squared calculated value is 12.5 and chi-squared critical value is 9.49. What would be your decision?

a)

Reject the null

b)

Fail to reject the null

22.

If you have 2 values tied for the 6th and the 7th place when Calculating Spearman's ranked coefficient, then what rank do you put for both of them?

 rsr_s  

a)

6

b)

7

c)

6.5

d)

It depends on the actual values for the 6th and 7th ranked data pieces.

23.

Calculate the PMCC between age and reaction time (3 significant figures).

(a)  

24.

Calculate Spearman's rank correlation coefficient between age and reaction time (3 significant figures).

(a)  

25.

Calculate Spearman's rank correlation coefficient between age and number of hours watching a TV a week (3 significant figures).

(a)  

26.

When testing with  α=0.01\alpha=0.01  you get  p=0.12p=0.12 . Your decision should be 

a)

Reject H0H_0 , there is a significant difference

b)

Accept H_0 , there is NOT a significant difference

c)

Reject H_0 , there is NOT a significant difference

d)

Accept H_0 , there is a significant difference

27.

When testing with  α=0.05\alpha=0.05  you get  p=0.0459p=0.0459 . Your decision should be 

a)

Reject H0H_0 

b)

Accept H_0 

28.

A researcher claims the 2 groups below have different means. Test the 2 samples at a 5% level. (hint: t-test)

Sample 1: 5, 6, 7, 4, 3, 8

Sample 2: 4, 5, 7, 9, 10, 3, 8

What are the sample means?

a)

Sample1: 5.5 Sample2: 10.6

b)

Sample1: 5.5 Sample 2: 6.57

c)

Sample 1: 10.6 Sample 2: 6.57

d)

Sample 1: -.853 Sample 2: 10.6

29.

A researcher claims the 2 groups below have different means. Test the 2 samples at a 5% level.

Sample 1: 5, 6, 7, 4, 3, 8

Sample 2: 4, 5, 7, 9, 10, 3, 8

Find the p-value. Use 3 sig figs

(a)  

30.

List 1 represents student test scores in a class where the teacher said, "Don't do the homework." List 2 is a class where the kids did their homework. Mr. Kirkton believes List 2 students did statistically better with a 10% significance level. List the alternative hypothesis (what you put in your calculator)

a)

u1>u2

b)

u1 \ne u2

c)

u1<u2

31.

List 1 represents student test scores in a class where the teacher said, "Don't do the homework." List 2 is a class where the kids did their homework. Mr. Kirkton now believes List 2 students did statistically better with a 5% significance level. What is your conclusion when you run the test? 

a)

reject the null

b)

fail to reject the null 

32.

Estimate the correlation coefficient for this scatterplot.

a)

A) r = 1.2

b)

B) r = 0.89

c)

C)r = 0

d)

D) r = -0.89

33.

Estimate the correlation coefficient for this scatterplot.

a)

A) r = -0.9

b)

B) r = 1

c)

C) r = 0.9

d)

D) r = -1

34.
What is the missing number?
a)
9
b)
18
c)
34
d)
22
35.

Describe the relationship between the variables.

a)

A) Weak positive correlation

b)

B) Weak negative correlation

c)

C) Strong positive correlation

d)

D) Strong negative correlation

36.

As x increases, y increases. (hint: make a graph)

a)

A) correlation coefficient

b)

B) causation

c)

C) positive correlation

d)

D) negative correlation

37.

The linear regression equation is y = 61.93x - 1.79. Use the equation to predict how far this person will travel after 10 hours of driving.

a)

10 miles

b)

618 miles

c)

0.19 miles

d)

620 miles

38.

How many balls are there ?

a)

20

b)

24

c)

16

d)

9

39.

Describe the distribution:

a)

Positive skew

b)

Negative skew

c)

Symmetrical

d)

Totally skewed

40.
A restaurant sells pizza for the prices in the data table.  Calculate the linear regression equation of the data.
a)
y = 1.5x + 12
b)
y = 12x + 1.5
c)
y = 0.67x - 8
d)
y = -8x + 0.67
41.

Interpret the y-intercept

a)

Cars are worth $0 when they are 10 years old

b)

New cars have a price of $22,500

c)

It is impossible to find a new car for less than $30,000

d)

When a car is 4 years old, it is worth about $15,000

42.

What is the interquartile range?

a)

4

b)

2

c)

8

d)

62

43.
Who's the Richest?
Four friends have all been saving money. Brad has more than Adam but not as much as George. Jenny has more than George. List in order of who has the least to the greatest.
a)
Adam, Jenny, George, Brad
b)
Jenny, Adam, George, Brad
c)
Adam, Brad, George, Jenny
d)
Jenny, George, Brad, Adam
44.

Use your calculator to find

 σx\sigma_x  for the list: 5, 6, 7, 10, 11, 12 (hint: 1 var stats)

a)

2.63

b)

2.88

c)

3.5

d)

51

45.

True or False: When conducting the student's t-test, the lists have to be the same length.

a)

True

b)

False

c)

Not enough information

d)

Synergy

46.

Predicting the $ amount for a temperature of 35 degrees Celsius would be an example of __________

a)

Using your line for the greater good of the business

b)

Extrapolation

c)

Interpolation

d)

Discumbobulation

47.

Your calculator says 1.35E-5. What does this mean?

a)

135000

b)

0.00135

c)

0.0000135

d)

1.35

48.

Which of the following describes your IA? (Be honest--it won't hurt your score)

a)

Pretty solid--won't need much after break

b)

Decent--I have some work to do

c)

Lacking--lots of stuff to get done that I didn't have finished

d)

IA? What is that? Were we supposed to turn in an IA?

49.

Which of the following would you like more explanation about? (Be honest--it won't hurt your score)

a)

Chi-squared

b)

Correlation/r/linear regression

c)

Spearman's rank

d)

Student's t-test

50.

Do you have a graphing calculator for the IB exam (not Wabbit)? Be honest.

a)

Yes

b)

No