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Total questions: 104
Worksheet time: 6hrs 40mins
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Alice collected data from every person in her neighborhood to determine the average age of people living in her neighborhood. This is an example of a…
Simple Random Sample (SRS)
Census
Cluster Random Sample
Stratified Random Sample
Bob is a hotel manager. He wants to know how his guests would rate their experience. He takes a random sample of 10 people on each 5 floors. This is an example of…
Simple Random Sample (SRS)
Systematic Random Sample
Cluster Random Sample
Stratified Random Sample
Sally owns a restaurant and wants to know her most popular item on the menu. When the store opens at 9 am she writes down what the first customer orders and every twenty customers after them until the store closes that day. This is an example of…
Simple Random Sample (SRS)
Stratified Random Sample
Cluster Random Sample
Systematic Random Sample
Nate wants to conduct an experiment to see why his goldfish keep dying. In each group he has ten fish. In group 1 he has a control group where he feeds them as normal. In the group he feeds them less than normal and in group three more than normal. He measures for the fish to die to see which tank had the largest mean survival. Which is NOT a confounding variable?
The amount of food
The pH of the tank
The age of the fish at the beginning of the experiment
Where the tank is placed
A teacher asks each person in her class how likely they are to cheat in her class. This is best an example of…
Undercoverage Bias
Non Response Bias
Self Reported Response Bias
Voluntary Response Bias
John owns a restaurant and looks online at the reviews people have given who have eaten at the restaurant to see the statistics of how many people like his food. This is best an example of…
Undercoverage Bias
Non Response Bias
Self Reported Response Bias
Voluntary Response Bias
Lyla asks everyone in her homeroom who they support for class president to see who will likely win. This is best an example of…
Question Wording Bias
Undercoverage Bias
Non Response Bias
Self Reported Response Bias
Kate randomly selected a group of people in her state and asked “Do you support all the amazing things such as helping the poor that the senator did?” This is best an example of…
Question Wording Bias
Undercoverage Bias
Non Response Bias
Self Reported Response Bias
Bill wants to know the average household income of his city to the nearest thousand. He makes a list of random residences he plans to ask and goes there early Monday morning and asks their annual household income. This is BEST an example of…
Question Wording Bias
Undercoverage Bias
Non Response Bias
Self Reported Response Bias
Sally owns a restaurant and wants to know her most popular item on the menu. When the store opens at 9 am she writes down what the first customer orders and every twenty customers after them until the store closes that day. This is an example of…
Simple Random Sample (SRS)
Stratified Random Sample
Cluster Random Sample
Systematic Random Sample
Jill conducts an experiment to test the growth of plants in relation to the amount of sunlight they get. Each plant receives the same amount of water. One group of plants is placed directly in the sun. One group is placed partially in the sun. The last group is placed inside, with very little sun. She records the growth after each week in inches. What is the experimental variable in this experiment?
The amount of water
The amount of sun
The average growth each week in inches
The average amount of plants grown
Jim conducts an experiment to see which type of battery lasts the longest. He gathers 30 of the same flashlights and randomly separates them into groups of ten. Type A is placed in one group of flashlights, Type B is placed in another group, and type c in the final group. He records the average amount of time the flashlight stays on for. What is the response variable in this experiment?
The amount of time the flashlight stays on
The intensity of the light
The type of battery used
The type of flashlight used
What are some of the properties of a well designed experiment?
I. Comparison of at least two groups
II. Random assignment of treatments
III. Completely eliminate all confounding variables that could exist
I, II, and III
I and III
II only
I and II
Liam conducts a study where participants are randomly assigned into groups to test the effects of two lotions. The participants do not know what group they are in. This is an example of…
Randomized Block Design
Placebo
Blinding
Matched Pairs
Can watching a documentary lead to an increase in pulse rate? The researchers had 100 volunteers record their pulse rate, then they all watched an hour long documentary about whales and after finishing the documentary they each recorded their pulse rates again. In what way is experimentation implemented in the research conducted?
Placebo
Blinding
None of these
Control group
Does chewing gum enhance a student's learning abilities? A researcher was convinced that students chewing gum can help students learn better. The researchers had 24 students solve a puzzle 4 times in total where two of the times were without chewing gum and the other two times were where the students chewed gum while doing the task. The test analyzers recorded the length of total time it took each of the subjects to finish the 4 puzzles. It was reported that on average the subjects who chewed gum during the completion of the puzzle had finished the puzzle faster than those that didn’t. The study was not statistically significant. But this study can be labeled as…
Completely randomized block design
Completely randomized design
Convenience sample
Matched pairs design
Which of the following is a positive benefit to use a random sample for the purpose of an observational study?
Results of the study could be generalized to the population of the study
The results of the study can be generalized to only a small certain population
Easier to conduct the experiment
Could cover many many types of different subjects
A case of randomized block design where an experiment has two treatment conditions. The subjects are grouped together into pairs based on an equivalent variable. In each pair, one of the subjects is randomly assigned to one treatment and automatically the other subject is assigned to the other.
Placebo
Voluntary Response Bias
Cluster Random Sample
Matched Pairs
What is a Cluster Sample?
Method of sampling which involves division of a population into smaller groups known as strata.
Where participants choose if they want to be in the sample or not
The entire population is divided into heterogeneous groups called clusters.
When a sample is chosen in a non-random way which is readily available.
Walmart has 400 employees located at its main store in Morrisville meanwhile a Walmart on the outskirts of the state only has 100 employees. A random sample of 40 employees will be taken to be asked about how they feel about the benefits given to Walmart employees. What is the advantage of using a stratified random sampling where the strata would be the two different locations instead of using a simple random sample?
The stratified random sample would make sure that both locations of Walmart would be represented
There is no advantage
The stratified random sampling is proven to be 2x more accurate than simple random sample in every situation
Stratified random sampling is cheaper to implement
A go kart specialist came to Rush Hour Karting to check the go karts and to make sure they aren’t malfunctioning or have any defects to them. The specialist gets tired and decides to only check the red go karts. This is known as…
Response Bias, where the responses are reported themselves
Response Bias, where the wording of the question is ambiguous
Undercoverage bias
Nonresponse bias
Dollar Tree handed out surveys to shoppers as they walked into the store for a day and had received over a 100 completed surveys at the end of the day. Should the results from the survey be generalized to the entire population of who shops at Dollar Tree?
Yes, because the sample size is greater than 50
Yes, because the survey was handed out when people entered the store and not left
No, because a random sample from who entered the store wasn’t selected
No because every single customer was surveyed
The founder of a company needs to obtain data of how many of the employees have high school diplomas, so the founder obtains data from all 10 of the employees who work at the founder’s company. What method is the best for this data collection?
Stratified sample
Simple random sample
Cluster sample
Census
A sample of swimmer’s will be selected from Triangle Aquatic Center. Which of the following sampling methods would least likely be considered a representative sample of the swimmers?
Every other swimmer that walks in the center that is at least 5’11
Numbering all of the swimmers and then starting at a random number and selecting every third swimmer from that point on the list
Divide the swimmers by the grades in school they are in and pick an equal number of swimmers by each grade.
Randomly choose 3 lanes from the entire swimming pool and use all the swimmers occupying the lanes at those current times.
What is undercoverage bias?
When there is a significant difference between who chose to fill out your survey and those who didn’t
When segments of a population are excluded or represented less in the sample than in the population
When a sample is chosen in a non-random way which is readily available.
Alternative definition for voluntary bias
What set of hypotheses are they interested in testing?
If 0.0100 < P-value < 0.0200, what decision should be made if testing at the α = 0.05 level?
T-procedures.
With 90.00% Confidence,
71.12512 < μ(Pulse) < 73.28914
What is the correct interpretation of the t-interval?
73.28914 beats per minute.
beats per minute.
per minute.
found the following t-based confidence interval:
With 90.00% Confidence,
71.12512 < μ(Pulse) < 73.28914
What is the margin of error for this interval?
I) The margin of error increases
II) The margin of error decreases
III) The interval width increases
IV) The interval width decreases
Which of the following statements is true?
Ha: The mean number of days 9th grade students absent is less than the mean number of days 12th grade students are absent.
Ha: The mean number of days 12th grade students absent is equal to the mean number of days 9th grade students are absent.
Ha: The mean number of days 9th grade students absent is greater than the mean number of days 12th grade students are absent.
Ha: The mean number of days 12th grade students absent is less than the mean number of days 9th grade students are absent.
To answer this question, you test the hypotheses
H0 : p1 - p2 = 0 against HA : p1 - p2 ≠ 0 . Which of the following is closest to the P-value of the test?
Point C on the Normal curve corresponds to
The weights of laboratory cockroaches follows a Normal distribution with mean 80 grams and standard deviation 2 grams. About what percent of the cockroaches will have weights between 76 and 84 grams?
99.7%
68%
34%
95%
The weights of laboratory cockroaches follows a Normal distribution with mean 80 grams and standard deviation 2 grams. About what proportion of cockroaches will have weights greater than 83 grams?
0.0228
0.1587
0.0772
0.0668
Until the scale changed in 1995, SAT scores were based on a scale set many years ago. For Math scores, the mean under the old scale in the 1990s was 470 and the standard deviation was 110. In 2013, the mean was 515 and the standard deviation was 116.
What is the standardized score for a student who scored 500 on the old SAT scale?
0.27
-0.27
-0.13
0.13
Gina took the SAT in 1994 and scored 500. Her cousin Colleen took the SAT in 2013 and scored 530. Who did better on the exam, and how can you tell?
The mean number of points per game scored by basketball players during a high school championship is 9.4, and the standard deviation is 1.5. Assuming that the number of points are normally distributed, what number of points per game will place a player in the top 15% players taking part in the basketball championship?
7.84
9.93
10.96
12.56
The heights of 100 students are normally distributed with a mean of 172cm. What is the standard deviation of the heights given that the probability of a height above 180cm is 0.25?
8 cm
9.2 cm
10 cm
11.9 cm
A population of bolts has a mean thickness of 20 millimeters with a standard deviation of 0.01 millimeters. Give in millimeters, a minimum and a maximum thickness that includes 68% of the population of bolts.
19 mm to 21 mm
19.98 mm to 20.02 mm
19.99 mm to 20.01 mm
19.97 mm to 20.03 mm
You measured the weights of members of population W and found the weights to be normally distributed. The distribution has a population mean (μ) weight of 160 pounds and a population standard deviation (σ) of 25 pounds. What is the percentile for the weight of 160 pounds?
50th
10th
30th
75th
You measured the weights of members of population W and found the weights to be normally distributed. The distribution has a population mean (μ) weight of 160 pounds and a population standard deviation (σ) of 25 pounds. What is the probability, to the nearest tenth of a percent, that a randomly selected student will weigh between 140 and 180 pounds?
20.2%
67.7%
95%
57.6%
To the nearest whole number, what percentile is associated with z = -.67?
10th
40th
25th
75th
For a normal distribution with mean 480 and standard deviation 32, find the values for Q1, median, and Q3.
502, 458, 480
458, 480, 502
400, 500, 600
Cannot be determined
What is the probability the next male long jumper from State College jumps longer than 270 inches?
According to the portion of the frequency table given, how many people have an MBA?
9
20
60
not enough information
An adult male aged 20-29 who is 73 inches tall would be shorter than what percent of males in his age group?
10%
15%
85%
90%
In a survey of men in the United States (ages 20-29), the mean height was 69.6 inches with a standard deviation of 3.0 inches. Find the minimum height in the top 22%.
69.37 in
67.58 in
73.12 in
71.92 in
What is the equation of the LSRL
y-hat = 3.367 - 0.062x
y-hat = 3.3 - 0.6x
y-hat = -0.062 + 3.3x
y-hat = 3.3 + 3.3x
The equation of the least squares regression line for a set of points in a scatterplot is given above. The point (5, 7) is one point on this scatterplot. Which of the following is the residual for the point (5, 7)?
6.25
4.05
0.71
0.75
7.87
Is the following question statistical or non statistical?
How many siblings does each Longview student have?
Statistical
Non Statistical
How many ceiling tiles are in our classroom?
How many ceiling tiles are in our classroom?
Describe the shape of the graph.
Skewed right
Skewed left
Random
Symmetrical
What is the interquartile range (IQR) of this data?
7
12
13
8
Which of the following represents the appropriate null & alternative hypotheses?
The mean height of women is greater than 64"
H₀: μ > 64"
Hₐ: μ ≠ 64"
H₀: μ < 64"
Hₐ: μ > 64"
H₀: p > 64"
Hₐ: p ≠ 64"
H₀: p = 64"
Hₐ: p > 64"
Identify the correct null hypothesis:
Is the proportion of babies born male different from 50%? In a sample of 200 babies, 96 were male. Test the claim using a level of significance of 1%.
H0: p = 0.50
H0: µ = 100
H0: p = 0.48
H0: µ = 96
Suppose the P-value for a hypothesis test is 0.0304. Using a = 0.05, what is the appropriate conclusion?
a) Reject the null hypothesis
b) Reject the alternative hypothesis
c) Fail to reject the null hypothesis
d) Fail to reject the alternative hypothesis
When p-value is greater than alpha we:
Reject Ho
Fail to reject Ha
Fail to reject Ho
Reject Ha
A mayor is concerned about the percentage of city residents who express disapproval of his job performance. His political committee pays for a newspaper ad, hoping to keep his disapproval rating below 21%. They will use a follow up poll to access effectiveness. What are the correct null and alternative hypotheses?
Ho: μ > 21
Ha: μ < 21
Ho: p > .20
Ha: p < .20
Ho: p < .21
Ha: p > .21
Ho: p > .21
Ha: p < .21
A large-scale study found that 42% of Americans play video games. A random sample of 1100 teenagers were asked whether they play games online; 575 said they did. Is there sufficient evidence to suggest that the proportion of teens who play video games is different from the national figure? Use a 5% level of significance.
Select the correct hypotheses. (2 answers)
H0: p = 0.42
Ha: p = 0.42
H0: p = 775/1100
Ha: p ≠ 0.42
Ha: p ≠ 775/1100
A large-scale study found that 42% of Americans play video games. A random sample of 1100 teenagers were asked whether they play games online; 575 said they did. Is there sufficient evidence to suggest that the proportion of teens who play video games is different from the national figure? Use a 5% level of significance.
Which is the correct p-value for this test?
5.08 x 10 -12
2.84 x 10 -91
2.56 x 10 -12
0
Sally reads a newspaper report claiming that 12% of all adults in the U.S. are left-handed. She decides to test this claim. Sally selects a random sample of 55 classmates and finds that 9 were left-handed. Does this provide sufficient evidence that the proportion of lefties in Sally’s school is different than the national figure? Use α = 0.01.
Select the correct hypotheses. (2 answers)
H0: p = 0.12
Ha: p = 0.12
H0: p = 9/55
Ha: p ≠ 0.12
Ha: p ≠ 9/55
A large-scale study found that 42% of Americans play video games. A random sample of 1100 teenagers were asked whether they play games online; 575 said they did. Is there sufficient evidence to suggest that the proportion of teens who play video games is different from the national figure? Use a 5% level of significance.
Which is the correct conclusion for this test?
Snice p-value = 5.08 x 10 -12 < 0.05, I reject H0. There is enough evidence to suggest a difference.
Snice p-value = 5.08 x 10 -12 < 0.05, I fail to reject H0. There is enough evidence to suggest a difference.
Snice p-value = 5.08 > 0.05, I fail to reject H0. There is not enough evidence to suggest a difference.
Snice p-value = 5.08 > 0.05, I reject H0. There is enough evidence to suggest a difference.
Sally reads a newspaper report claiming that 12% of all adults in the U.S. are left-handed. She decides to test this claim. Sally selects a random sample of 55 classmates and finds that 9 were left-handed. Does this provide sufficient evidence that the proportion of lefties in Sally’s school is different than the national figure? Use α = 0.01.
Which is the correct p-value for this test?
0.160
0.319
0.508
0.492
When p-value is greater than alpha we:
Reject Ho
Fail to reject Ha
Fail to reject Ho
Reject Ha
In a study to determine the average height of students in a school, which of the following sampling methods would most likely provide a representative sample?
Choosing students who volunteer to participate
Randomly selecting students from each grade level
Selecting students based on their academic performance
Choosing students who are present in the library
In a normal distribution, approximately what percentage of data falls within one standard deviation of the mean?
50%
68%
95%
99.7%
Which of the following is an example of a confounding variable in an experiment testing the effect of a new drug on blood pressure?
The dosage of the drug
The age of the participants
The brand of the drug
The time of day the drug is administered
