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Unit 10 : Data and Statistics

Total questions: 40

Worksheet time: 2hrs 2mins

Name
Class
Date
1.
According to the empirical rule, how much of the data falls within 3 standard deviations? 
a)
25%
b)
68%
c)
95%
d)
99.7%
2.
The average waist size for teenage males is 29 inches with a standard deviation of 2 inches. 
If waist sizes are normally distributed, determine the z-score of a teenage male with a 33 inch waist.  
a)
2
b)
1
c)
-2
d)
-1
3.
The z-score represents.....
a)
the amount of standard deviations a data value is above or below the mean.
b)
the percentile the data value is above or below the mean.
c)
the amount of standard deviations a data value is above or below the median.
d)
the percent the data value is above or below the mean.
4.
The monthly phone bills in a city are normally distributed with a mean of 30$ and a standard deviation of 12$. Find the x-value that correspond to z-scores of 3.17. 
a)
$1.80 
b)
$68.04
c)
$32.76
5.
The mean temperature in Glens Falls for the month of February is 23 degrees with a standard deviation of 4.2 degrees.  What is the z-score for a temperature of 17 degrees?  
a)
1 
b)
1.43
c)
-1.43
d)
11.5
6.
The shelf life of a particular dairy product is normally distributed with a mean of 12 days and a standard deviation of 3 days.

About what percent of the products last between 12 and 15 days?
a)
68%
b)
34%
c)
16%
d)
2.5%
7.
Is diet or exercise effective in combating insomnia? Some believe that cutting out desserts can help alleviate the problem, while others recommend exercise. Forty volunteers suffering from insomnia agreed to participate in a month-long experiment. Half were randomly assigned to a special no-desserts diet; the others continued desserts as usual. Half of the people in each of these groups were randomly assigned to an exercise program, while the others did not exercise. Those who ate no desserts and engaged in exercise showed the most improvement. 
a)
Observational Study
b)
Experiment
8.
To research the effects of "dietary patterns" on blood pressure in 459 subjects, subjects were randomly assigned to three groups and had their meals prepared by dieticians. Those who were fed a diet low in fat and cholesterol and high in fruits, vegetables, and low-fat dairy foods (known as the DASH diet) lowered their systolic blood pressure by an average of 6.7 points when compared with subjects fed a control diet. 
a)
Observational Study
b)
Experiment
9.
To find out what the preferred ice cream flavor is, wait outside an ice cream parlor and ask every 4th person leaving the store to name his or her favorite flavor until you get 25 responses is an example of...
a)
Convenience Sample
b)
Simple Random Sample
c)
Stratified Random Sample
d)
Systematic Sample
10.
To study the amount of time students spend doing homework each day, use a random number generator to select 25 students from the student enrollment database to survey.
a)
Convenience Sample
b)
Simple Random Sample
c)
Stratified Random Sample
d)
Interval Sample
11.
A numerical characteristic of the POPULATION
a)
Statistic
b)
Parameter
c)
Observation
d)
Study
12.

A Parks Department employee wants to know if latex paint is more durable than non-latex paint. She has 50 park benches painted with latex paint and has 50 park benches painted with non-latex paint.

a)

Experiment

b)

Survey

c)

Observational study

13.

To test the redesign of it’s website, an online bookseller assembled 96 users of the site and randomly divided them into two groups. One group used the new website to make a purchase and one group used the old website to make the same purchase. Users of the new site were able to complete the purchase 22% faster

a)

Experiment

b)

Survey

c)

Observational study

14.
3. A public library asked every 10th person who entered to name the type of book they were getting.
a)
A. Biased
b)
B. Unbiased
15.
4.  Carlos wants to know the favorite sport of people at his school so he asks his baseball team.
a)
A. Biased
b)
B. Unbiased
16.
6. Ana wants to know the average student’s opinion of the tardy policy at her school. Which group of students should she survey in order to achieve the most accurate results?
a)
A. Thirty randomly selected students from her school
b)
B. Thirty students who are rarely tardy
c)
thirty of her friends
17.
A school randomly chose ten English teachers and asked them which type of juice their students would prefer. Which reason best shows why this sample is biased?
a)
The sample didn't include students.
b)
The sample is too small.
c)
The sample can only be accurate if each teacher is included in the sample
18.
At a middle school, the 7th graders will conduct a survey for where to go on a field trip. Which method will result in the least biased decision?
a)
to randomly ask 8th grade students who went on a field trip last year
b)
to randomly choose some 7th grade students to select a location
c)
to ask all 7th grade teachers and administrators for a location
d)
to ask the student council to choose a location
19.
A state fair had 1,019,887 people in attendance. The fair committee performed a survey. The question was, “What do fairgoers enjoy most about the fair?” Of those who responded, 83% reported eating traditional foods. Which group of people represents the sample group?
a)
Fair goers who like traditional foods
b)
The fair committee
c)
Fair goers who responded to the survey
d)
All fair goers
20.
A radio station in Raleigh, NC wants to know the most popular song of the week. The DJ surveys random listeners who call in throughout the week. What is the population of the DJ’s survey?
a)
all the people in Raleigh, NC
b)
listeners of this radio station
c)
the listeners who call the station
d)
the most popular song of the week
21.
A factory manufactures light bulbs. The factory currently has 300 boxes of light bulbs in its warehouse. To test the quality of bulbs, Alex decides to take out a sample of bulbs and test them to see if they work. Which surveying method will give him the least valid results?
a)
selecting ten boxes randomly, mixing the bulbs of these boxes together and then selecting ten bulbs randomly
b)
selecting ten boxes randomly and then selecting one bulb randomly from each box
c)
selecting one bulb randomly from every tenth box
d)
selecting one box randomly and then selecting all the bulbs from the box
22.
Source of bias in which people CHOOSE to respond and usually only people with very strong opinions respond
a)
Response Bias
b)
Undercoverage
c)
Convenience Sampling
d)
Voluntary Response
23.

The teacher samples her class by selecting all students sitting at group 1 and group 5 in her classroom. This sampling technique is called?

a)

sample random

b)

Stratified

c)

Systematic

d)

Cluster

24.

Each student in the school is given a different number. A student is randomly selected from the first 25. That student and every 25th student thereafter are in the sample. This is what type of sampling design?

a)

sample random

b)

Systematic

c)

Multistage

d)

Stratitfied

25.
An SRS of 25 students is taken from each grade to form the sample.  This is what type of sampling design?
a)
Cluster
b)
SRS
c)
Stratified
d)
Multistage
26.
Starting at 8:00 Monday morning the first 50 students entering the front doors are selected to be in the sample.  This is what type of sampling design? 
a)
Systematic
b)
Voluntary Response
c)
Cluster
d)
Convenience
27.
Identify the sampling design: SCPS wants to survey its employees.  They pick 4 schools from the county and survey every single employee in each of the 4 buildings.
a)
cluster
b)
volunteer
c)
systematic
d)
simple random
28.
Identify the sampling design: A campaign intern makes phone calls to ask questions to registered voters regarding their intention to vote on election day.
a)
cluster
b)
volunteer
c)
systematic
d)
simple random
29.

Determine whether the survey clearly projects a winner. According to the survey of students voting for student council president, 42% of the students said they will vote for Jada and 58% said they would vote for Sean. The survey's margin of error is 5%

a)

Jada wins

b)

Sean wins

c)

It's too close to tell

d)

It's a tie

30.
A random sample of shoppers chose between two similar products, and the percent who chose Brand A was recorded. The table shows the results of 20 simulations. Based on the simulations, which of the following is the most likely margin of error for the sample?
a)
±1
b)
±4
c)
±8
d)
±16
31.

A survey of 121 subjects found that 84 have suffered the symptoms of depression in the last year.


A 95% confidence interval for p is (0.621, 0.759). Interpret this interval.

a)

Based on this sample, I am 95% confident that the true proportion of people who have suffered the symptoms of depression in the last year is between 62.1% and 75.9%.

b)

95% of the time, the population of people who have suffered the symptoms of depression in the last year is between 62.1% and 75.9%

c)

95% of all of the possible intervals calculated using this method will capture the true proportion of people who have suffered the symptoms of depression in the last year.

d)

The probability that people who have suffered the symptoms of depression in the last year is between 62.1% and 75.9% is 95%.

32.

In a survey of 104 students, it was found that 79 went to the homecoming game this year.


A 95% confidence interval for p is (0.652, 0.868). Interpret this interval.

a)

95% of the time the true proportion of people who went to the homecoming game this year is between 65.2% and 86.6%.

b)

The probability that the population proportion of people who went to the homecoming game this year is between 65.2% and 86.6% is 95%.

c)

Based on this sample, I am 95% confident that the true proportion of people who went to the homecoming game this year is between 65.2% and 86.6%.

d)

95% of all possible intervals calculated this way will capture the true proportion of people who went to the homecoming game this year

33.

For a sample, the 95% confidence interval is (0.202, 0.482).


What is the margin of error of this sample?

a)

0.28

b)

0.14

c)

0.342

d)

0.684

34.

The football coach randomly selected ten players and timed how long each player took to perform a certain drill. The times (in minutes) were: 13.2, 5.1, 7.5, 8.0, 12.7, 7.6, 13.8, 14.5, 7.7, and 10.5. Determine a 95 percent confidence interval for the mean time for all players.

a)

12.30 < μ < 7.82

b)

7.82 < μ < 12.30

c)

7.97 < μ < 12.14

d)

12.40 < μ < 7.72

35.
The mean GPA of students in a course at UCDavis is 3.2 with a standard deviation of 0.3. What percent of students in the course have a GPA between  2.9 and 3.8? 
a)
81.5%
b)
47.5%
c)
68%
d)
95%
36.

If the 95% Confidence Interval for a population mean is (114.56, 125.54), then is it likely that the true population mean µ is greater than 130?

a)

Yes

b)

No

c)

Not enough information

d)

I have no idea what you're asking of me

37.

A recent study of 750 Internet users in Europe found that 35% of Internet users were women. What is the 95% confidence interval of the true proportion of women in Europe who use the Internet?

a)

0.321 < p < 0.379

b)

0.315< p < 0.384

c)

0.309 < p < 0.391

d)

0.305 < p < 0.395

38.

In a survey of 104 students, it was found that 79 went to the homecoming game this year.


Calculate a 95% confidence interval for p.

a)

(0.750, 0.829)

b)

(0.691, 0.829)

c)

(0.678, 0.842(

d)

(0.685, 0.895)

39.

Previous studies show that the standard deviation for work time is 3 hours, and a survey of 40 students has a mean of 9.8 work hours per week.


The 95% confidence interval is…

a)

(8.84, 10.76)

b)

(8.87, 10.73)

c)

(9.02, 10.58)

d)

(9.00, 10.60)

40.
A sample of 40 people owned an average of 1.35 apple products. It is known from a previous study that the population standard deviation of apple product ownership is 0.63 products. Construct a 95% confidence interval.
a)
(1.11, 1.58)
b)
(1.15, 1.55)
c)
(1.19, 1.51)
d)
(1.09, 1.61)

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