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STT 201 Final

Total questions: 64

Worksheet time: 42mins

Name
Class
Date
1.
What is the lower extreme of this data?
a)
8.4
b)
11.1
c)
10.2
d)
14.9
2.
What is the median of this data?
a)
8.4
b)
11.1
c)
10.2
d)
14.9
3.

What is the value such that 75% of wines have that alcohol content or lower?

a)
8.4
b)
11.1
c)
10.2
d)
14.9
4.
A sample of 100 native-English speaking children aged 5-7 years old are selected for a study. The population is?
a)
All children
b)
All 5-7-year-old native English speakers
c)

All 5-7-year-olds

d)
All native English speakers
5.
An instructor surveys their STT 201 class to see if they like or dislike Kahoot.
a)
Whole population, one categorical variable
b)
Sample data, two categorical.
c)
Whole population, one categorical and one quantitative
d)
Sample data, one categorical
6.

Average speed on M-65, a highway in northern Michigan, in mph

a)
Discrete
b)
Continuous
7.
Which of these is an ordinal variable?
a)
Opinion on a law (like/dislike)
b)
Speed (mph)
c)
Number of pencils in a classroom
d)
T-shirt sizes
8.
What is the mean, median, and mode of: 2, 1, 2, 2, 3
a)
2 2, 3
b)
1, 2, 3
c)
3, 2, 2
d)
2, 2, 2
9.
What is the sum of squared errors?
a)

5

b)
12
c)
9
d)

6

10.
68% of data falls between what z-values?
a)
-3 and 3
b)
-2 and 2
c)
-1 and 1
d)
-4 and 4
11.
What standard deviation does 95% of data fall between?
a)
-1 and 1
b)
-2 and 2
c)
-3 and 3
d)
-4 and 4
12.

What fraction of students had an A on the midterm and wanted an in-person exam?

a)
20/75
b)
25/75
c)
35/75
d)
15/75
13.
Give that a student had preferred a take-home exam, what ratio had an A?
a)

10/25

b)

10/40

c)
40/75
d)

30/40

14.
The last question is an example of what kind of probability?
a)
Marginal
b)
Conditional
c)
Joint
d)
Independent
15.
Conditional probability requires ___ information
a)
prior
b)
sample
c)
new
d)
population
16.
Which allows us to find causation?
a)
p-value
b)
same methods as correlation
c)
randomized experiment/sampling
d)
observations
17.
A recent college graduate claims he only has a 30% chance of finding a job in the next two months. The chance of 30% is
a)
Subjective Probability
b)
Relative Frequency Probability
18.
Probabilities of mutually exclusive events that span an event space must add to 1.
a)
True
b)
False
19.

A person graduates and walks across a stage. Define events B = {the person is female} and F = {the person trips}. The events B and F are

a)
mutually exclusive, independent
b)
not mutually exclusive, independent
c)
mutually exclusive, dependent
d)
not mutually exclusive, dependent
20.
B = {the person is female} & F = {the person trips} - What is P(F|B)
a)
Chance a randomly selected graduate is female
b)
Chance a randomly selected graduate trips given that they are female
c)
Chance a randomly selected graduate trips
d)
Chance a randomly selected graduate is female given that they trip
21.
The number of squirrels behind Wells Hall at MSU is a continuous random variable.
a)
True
b)
False
22.
Is this a PDF or a CDF?
a)
PDF
b)
CDF
23.
What value is missing?
a)

2/7

b)

1/7

c)

7/7

d)

1

24.

If it was a CDF, what value would be at k=3?

a)

1/7

b)

2

c)

7/7

d)

6/7

25.
What is the CDF at k=1?
a)

3/7

b)

1/7

c)

7/7

d)

2/7

26.
The expected value is the long-term average
a)
True
b)
False
27.

Of 10 students sampled from a class of 200, 8 (80%) said they would like the school library to have longer hours. 80% is a...

a)
Statistic
b)
Parameter
28.

75% of all students at a school are in favor of more bicycle parking spaces on campus. 75% is a...

a)
Statistic
b)
Parameter
29.
Values of a parameter will vary according to the sampling distribution for that statistic.
a)
True
b)
False
30.
A parameter estimates a statistic
a)
True
b)
False
31.
The sampling distribution becomes more ___ as the sample size increases.
a)
Exponential
b)
Skewed
c)
Steep
d)
Normal
32.
Standard deviation decreases as sample size increases.
a)
True
b)
False
33.
If the researchers wanted to decrease the width of the confidence interval, what should they do?
a)
Decrease population size
b)
Decrease sample size
c)
Increase population size
d)
Increase sample size
34.
A majority means the entire confidence interval should be above 50%.
a)
True
b)
False
35.
There is a difference between two populations if the confidence intervals do not overlap.
a)
True
b)
False
36.

A 95% confidence interval be narrower than the 90% confidence interval.

a)
True
b)
False
37.

In a random sample of 100 students, hours of sleep for each student during and after finals week were compared.

a)
Paired Samples
b)
Independent Samples
38.

In a random sample of 100 students (60 women and 40 men), the average hours of sleep during finals week were compared.

a)
Paired Samples
b)
Independent Samples
39.

The proportion of single men is greater than the proportion of single women in the population.

a)
Null hypothesis
b)
Alternative hypothesis
40.
The average price of bananas at all Meijer's is the same average price of bananas at all Kroger's.
a)
Null Hypothesis
b)
Alternative Hypothesis
41.
Null and alternative hypotheses are about...
a)
population parameters
b)
population statistics
c)
sample parameters
d)
sample statistics
42.
A hypothesis test gives us a p-value of 0.01. If the significance level is 0.05, the results are...
a)
practically significant
b)
statistically insignificant
c)
practically insignificant
d)
statistically significant
43.
The null and alternative hypothesis should be determined
a)
before collecting data
b)
after collecting data
c)
after a hypothesis test
d)
before thinking of a research question
44.
The p-value for a one-sided test for a population proportion was 0.03. The p-value for the two-sided test would be:
a)
0.03
b)
0.01
c)
0.06
d)
0.97
45.
Generally, the larger the sample size, the better.
a)
True
b)
False
46.
A large sample size can show significance when the effect is small. It's likely that the test lacks...
a)
statistical significance
b)
practical significance
47.
One of the two possible conclusions in hypothesis testing is to accept the null hypothesis.
a)
True
b)
False
48.
The p-value is calculated with the assumption that the null hypothesis is true.
a)
True
b)
False
49.

Which of the following is not true about hypothesis testing?

a)
A p-value is computed on the basis of the standardized "test statistic."
b)
From the p-value, we either reject or fail to reject the null hypothesis.
c)
A statistic calculated from a population is called a test statistic
d)
The null hypothesis defines the null value
50.
For what problem is a two-sample t-test used?
a)
To test a hypothesis about a mean.
b)
To test a hypothesis about the mean difference for paired data.
c)
To test a hypothesis about the difference between 2 means (ind. samples)
d)
To test a hypothesis about the difference between 2 props (ind. samples)
51.

The power of a test is the probability of not making a ___ error

a)
Type 1
b)
Type 2
c)
marginal
d)
statistical
52.
One use of a regression line is
a)
to determine if any x-values are outliers.
b)
to determine if any y-values are outliers.
c)
to determine if a change in x causes a change in y.
d)
to estimate the change in y for a one-unit change in x.
53.
What is the best way to determine if there is a linear relationship between two quantitative variables
a)
Compute a regression line from a sample and see if the sample slope is 0.
b)
Compute the correlation coefficient and see if it's >0.5 or <-0.5
c)
Conduct a test of the null hypothesis that the population intercept is 0.
d)
Conduct a test of the null hypothesis that the population slope is 0.
54.

The r2 value is reported by a researcher to be 49%. Which of the following statements is correct?

a)
The x variable explains 70% of the variability in the y variable.
b)
The x variable explains 49% of the variability in the y variable.
c)
The y variable explains 49% of the variability in the x variable.
d)
The y variable explains 70% of the variability in the x variable.
55.
Which of these could be tested with a chi-square test?
a)
relationship between income and number of vehicles
b)
opinion on electric cars and annual income
c)
relationship between satisfaction level and weather conditions
d)
relationship between gender and height
56.
What procedure is used to test whether or not three or more population means are equal?
a)
Analysis of correlation
b)
3-sample t-test
c)
Chi-square test
d)
Analysis of variance F-test
57.
In a one-way analysis of variance, the Sum of Squared Errors is a measure of the variation ____ groups
a)
between
b)
within
58.
When a one-way analysis of variance test is done, what probability distribution is used to find the p-value?
a)
normal distribution
b)
F-distribution
c)
t-distribution
d)
Chi-square distribution
59.
Which function is correct for an ANOVA?
a)
anova()
b)

aov()

60.
In R, what do you need to make in order to run chisq.test()?
a)
synthetic data
b)
switch your columns and rows
c)
conditional probabilities
d)
contingency table
61.
Fill in the blanks: lm(__~__)
a)
x, y
b)
y, x
c)
data, y
d)
y, data
62.
What does 'mu =' need in t.test()?
a)
The data
b)
less, greater, or two.sided
c)
The null value
d)
The alternative hypothesis
63.
summary() does what?
a)
gives useless information
b)
creates population parameter
c)
shows the background and inner-working of the model
d)
summarizes the results of your model
64.
We need to use a t-distribution because we don't have the population standard deviation.
a)
True
b)
False