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WorksheetsAP Statistics Summary/Review Chapters 1-10
Total questions: 55
Worksheet time: 5hrs 27mins
Name
Class
Date
1.
The mean life of a tire is 30,000 km. The standard deviation is 2000 km.
Then, 68% of all tires will have a life between ___________ km and __________ km.
Then, 68% of all tires will have a life between ___________ km and __________ km.
a)
28,000 km and 32,000 km.
b)
24,000 km and 34,000 km.
c)
26,000 km and 34,000 km.
d)
27,000 km and 31,000 km.
2.
The mean number of accidents a week at a company is 6.4 with a standard deviation of 1.5. What proportion of weeks would you expect to have less than 5 accidents?
a)
0.6915
b)
0.1762
c)
0.8238
d)
-0.93
3.
The 40 yards sprint times for a soccer team are found to be normally distributed with a mean of 5.2 seconds and a standard deviation of 0.3 seconds. What is the z-score for a player who runs a time of 5.6 seconds?
a)
-1.33
b)
1.33
c)
0.88
d)
1.02
4.
Between what two standard deviations of a normal distribution contain 68% of the data?
a)
one below and one above
b)
two below and two above
c)
two below and zero
d)
zero and two above
5.
The average waist size for teenage males is 29 inches with a standard deviation of 1.4 inch.
If waist sizes are normally distributed, estimate the proportion of teenagers who will have waist sizes greater than 31 inches?
If waist sizes are normally distributed, estimate the proportion of teenagers who will have waist sizes greater than 31 inches?
a)
92.4%
b)
10.5%
c)
16%
d)
7.6%
6.
The scoring of modern IQ is such that Intelligence Quotients (IQs) have a normal distribution of μ= 100 and 𝞂 = 15.
Mensa International is a non-profit organization that accepts only people with IQ score within the top 2%. What level of IQ qualifies one to be a member of Mensa?
Mensa International is a non-profit organization that accepts only people with IQ score within the top 2%. What level of IQ qualifies one to be a member of Mensa?
a)
115
b)
130.75
c)
145
d)
120
7.
In the formula shown, what is in the denominator?
a)
Sample Mean
b)
Individual Score
c)
Sample Variance
d)
Sample Standard Deviation
8.
In a standard/normal distribution, what percentage of data falls between a z-score of -1 and 2?
a)
82
b)
34
c)
96
d)
14
9.
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?
About what percent of the products last between 12 and 15 days?
a)
68%
b)
34%
c)
16%
d)
2.5%
10.
Which best describes the shaded part of this normal distribution graph?
a)
All data that is one or higher.
b)
All data that is one or more standard deviations above the mean.
c)
All data that is between 1 and 3.
d)
All data that is above the mean.
11.
Which type of sampling?
Student organization looking to get signatures for a petition camp out in front of
Class of 1950 Lecture Hall.
Student organization looking to get signatures for a petition camp out in front of
Class of 1950 Lecture Hall.
a)
Convenience
b)
Stratified
c)
Random
d)
Systematic
12.
Select three students from a class to receive ice cream by putting all the students names in a hat and picking out three names randomly.
a)
simple random
b)
convenience
c)
cluster
d)
systematic
13.
A Stat 113 instructor announces a study session to be held the night before a test.
The instructor lists the students who attended the session and compares their scores to the remaining Stat 113 students’ scores.
OBSERVATIONAL or EXPERIMENTAL??
The instructor lists the students who attended the session and compares their scores to the remaining Stat 113 students’ scores.
OBSERVATIONAL or EXPERIMENTAL??
a)
Observational
b)
Experimental
14.
In Fall 1995, the BBC in Britain requested viewers to call the network and indicate their favorite poem.
a)
convenience
b)
random
c)
cluster
d)
systematic
15.
Divide the class into four groups (freshman, sophomore, junior and senior) and take a random sample of two students from each group.
a)
stratified
b)
cluster
c)
random
d)
convenience
16.
Priceline.com randomly e-mails a Customer Satisfaction Survey for certain transactions done on its site in which customers choose to either respond or not.
a)
convenience
b)
random
c)
stratified
d)
systematic
17.
To test the quality of a river's water, samples of the water would be taken from multiple places in the river, on different dates and at different times of the day. All of the samples would be numbered with the numbers entered into a table. As numbers are chosen from the table, quality tests are run on the chosen sample.
a)
simple random
b)
stratified
c)
cluster
d)
systematic
18.
For a study, psychologists assign numbers to all volunteers for the trial. A number table is used to assign volunteers to the control group and to the four test groups.
a)
simple random
b)
convenience
c)
systematic
d)
cluster
19.
5 light bulbs are evaluated from each case of light bulbs.
a)
stratified
b)
cluster
c)
systematic
d)
convenience
20.
Armand chooses 4 of the 10 busses in front of his school, and polls 10 students from each to see if they think buses are comfortable.
a)
cluster
b)
stratified
c)
systematic
d)
simple random
21.
Four people divided a telephone directory evenly and each called the first 10 numbers they found.
a)
convenience
b)
stratified
c)
cluster
d)
systematic
22.
A group of scientists wanted to test a new drug that’s made to help people suppress their alcohol addiction. The scientists gathers a random population of 200 alcoholics and then divides them into two groups; one receiving the drug and the other a placebo. They then will collect data on if the drug is effective or not.
a)
Observational
b)
Experimental
23.
A group of students wanted to know if there is a relationship between attending after school activities and GPA. They then use a survey to gather their data from students who do attend after school activities and who doesn’t attend and ask for their current GPA.
a)
Observational
b)
Experimental
24.
What is P(not B | not A)?
a)
2/9
b)
1/2
c)
13/18
d)
9/13
25.
What is P(Foreign language | Sport)?
a)
14/27
b)
7/12
c)
23/47
d)
37/47
26.
A jar contains 2 pink, 6 red, and 4 blue marbles. If you pick one marble without looking, what is the probability that the marble you pick will be red or blue?
a)
5/6
b)
1/2
c)
1/3
d)
1/6
27.
The American Red Cross says that about 11% of the U.S. population has Type B blood. A blood drive is being held at your school.What is the probability that exactly 2 of the first 20 blood donors have Type B blood?
a)
0.316
b)
0.282
c)
0.001
d)
Not here
28.
The American Red Cross says that about 11% of the U.S. population has Type B blood. A blood drive is being held at your school. What is the probability that at least 2 of the first 10 blood donors has Type B blood?
a)
0.088
b)
0.697
c)
0.214
d)
0.303
29.
When rolling a fair die 100 times, what is the probability of rolling a "4"exactly 25 times?
a)
0.010
b)
0.167
c)
0.25
d)
0.021
30.
Is this binomial experiment? Shuffle a deck of 52 cards. Turn over the top card. Put the card back in the deck, shuffle again. Repeat the process 50 times. Let X = the number of aces you observe.
a)
Yes
b)
No, the trials are not independent.
c)
No, there are more than 2 outcomes
31.
Which of the following is NOT an assumption of the Binomial distribution?
a)
All trials must be independent.
b)
Each trial must be classified as a success or a failure.
c)
All trials are dependent on each other.
d)
The number of successes in the trials is counted.
32.
A set of 20 cards consists of 10 purple cards and 10 green cards. If you randomly pick a card after shuffling them and replace the card each time and wait until you get your first purple, what distribution is it
a)
binomial n = 20 and p=.5
b)
geometric p = .5
c)
neither
d)
normal distribution
33.
A set of 20 cards consists of 10 purple cards and 10 green cards. If you pick 7 cards at random and replace each time you pick, what is the probability you get exactly 3 purple cards.
a)
binomial n = 20 p = .5
b)
binomial n = 7 p= .5
c)
none
d)
geometric p =.5
34.
The probability that Jalen makes a free throw is 75%. What is the probability he makes his first free throw on his third attempt?
a)
geometcdf(3, 0.75)
b)
geometpdf(0.75, 3)
c)
geometpdf(3, 0.75)
d)
geometcdf(0.75, 3)
35.
What happens to the shape of a sampling distribution of sample means as n increases?
a)
It becomes narrower and bimodal.
b)
It becomes narrower and more normal.
c)
It becomes wider and skewed right.
d)
It becomes wider and more normal.
36.
The mean and standard deviation of a population are 400 and 40, respectively. Sample size is 25.
What is the mean of the sampling distribution?
What is the mean of the sampling distribution?
a)
400
b)
40
c)
25
d)
8
37.
A group of 625 students has a mean age of 15.8 years with a standard deviation of 0.6 years. The ages are normally distributed. What is the probability that a randomly selected student is older than 16.5 years old?
a)
0.864
b)
0.879
c)
0.121
d)
None of these
38.
What is the standard deviation of the distribution?
a)
1010
b)
20
c)
60
d)
√20
39.
A social psychologist reports that “in our sample, ethnocentrism was significantly higher (P-value < 0.05) among church attendees than among non-attendees.” Which of the following statements best describes what this means.
a)
Ethnocentrism was at least 5% higher among church attendees than among non-attendees.
b)
The probability that the alternative is true is less that 0.05.
c)
If there were actually no difference in ethnocentrism between church attendees and non-attendees, then the chance that we would have observed a difference at least as extreme as the one we did is less than 5%.
40.
Which of the following P-values obtained from a test of hypotheses constitutes the least amount of evidence against the null hypothesis?
a)
0.107
b)
0.207
c)
0.017
41.
Suppose we conduct a test of hypotheses and find that the test results are significant at the α = 0.025 level. Which of the following statements then MUST be true?
a)
The results are significant at level α = 0.05.
b)
The results are not significant at level α = 0.01
c)
The test results are important.
42.
A noted psychic is tested for ESP. The psychic is presented with 400 cards, all face down, and asked to determine if each card is marked with one of four symbols. The psychic is correct in 120 of the 400 cases. Let p represent the probability that the psychic correctly identifies the symbol on the card in a random trial. Suppose we wish to see if there is evidence to suggest that the psychic is doing significantly better than he would be if he were just guessing. To do so, we test H0: p = 0.25 against Ha: p > 0.25. Which of the following is closest to the P-value of the test?
a)
0.0104.
b)
0.0146.
c)
0.9896.
43.
A box of Raspberry Crunch cereal contains a mean of 13 ounces with a standard deviation of 0.5 ounces. The distribution of the contents of cereal boxes is approximately Normal. The cereal company is afraid the boxes being over filled. Suppose they get a random sample of 25 boxes, and find a mean of 13.2 and a standard deviation of 0.154. Does this give evidence that the boxes are being overfilled?
a)
1 sample t-test
b)
2 sample t-test
c)
1 proportion z-test
d)
chi-squared GOF test
44.
The football coach thinks about half his players are skipping leg day in the gym. He follows 10 of his players around for a week, he found that 6 of them skipped leg day in the gym. Does this give evidence that over half of his students are skipping leg day?
a)
1 sample t-test
b)
1 proportion z-test
c)
2 sample t-test
d)
chi-squared test for independence
45.
The manager of a sporting goods store offered a bonus commission to his salespeople when they sold more goods. A new manager dropped the bonus system. For a random sample of six sales, the weeks sales (in thousands of dollars) were 3.7 with the bonus, SD of .15, and 3.3 without the bonus, SD of .21. Does this imply that sales dropped when the bonus system was discontinued?
a)
1 sample t-test
b)
2 sample t-test
c)
1 proportion z-test
d)
2 proportion z-test
46.
In 1975, a random sample of 1484 adult U.S. citizens was surveyed, and 193 strongly agreed with the statement, “People should take care of themselves.” Then, in 1991, a survey of 1013 adult U.S. citizens showed that only 61 strongly agreed with the statement. Does this indicate that the proportion of U.S. adults who strongly agree with the given statement has dropped?
a)
1 proportion z-test
b)
2 proportion z-test
c)
1 sample t-test
d)
2 sample t-test
47.
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)
48.
Agricultural researchers plant 100 plots with a new variety of corn and measure the mean yield for these plots in bushels per acre. They treat the 100 plots as a simple random sample of possible plots of corn (as researchers often do) and report a 95% confidence interval for the mean corn yield of (128.4, 131.6) bushels per acre. Which of the following is a correct interpretation of the 95% confidence level?
a)
We are 95% confident that the true mean yield for this new variety of corn is captured by the interval (128.4, 131.6) bushels per acre
b)
If many intervals were constructed this way from many independent sets of 100 plots, 95% of the intervals would capture the true mean corn yield.
c)
If many intervals were constructed this way from many independent sets of 100 plots, 95% of the time the true mean corn yield would be in the interval (128.4, 131.6) bushels per acre.
49.
A 90% confidence interval for the average salary of all CEOs in the electronics industry was constructed using the results of a random survey of 45 CEOs. The interval was ($139,048, $154,144). Give a practical interpretation of the interval.
a)
90% of the sampled CEOs have salaries that fell in the interval $139,048 to $154,144
b)
We are 90% confident that the mean salary of all CEOs in the electronics industry falls in the interval $139,048 to $154,144.
c)
90% of all CEOs in the electronics industry have salaries that fall between $139,048 to $154,144
d)
We are 90% confident that the mean salary of the sampled CEOs falls in the interval $139,048 to $154,144.
50.
Which of the following changes to a study would result in a narrower confidence interval?
a)
increasing the confidence level, increasing the sample size
b)
decreasing the confidence level, decreasing the sample size
c)
increasing the confidence level, decreasing the sample size
d)
decreasing the confidence level, increasing the sample size.
51.
A 90% confidence interval for a population mean is determined to be 800 to 900. If the confidence is increased to 95% confidence while the sample statistics and sample size remain the same, the confidence interval
a)
becomes wider
b)
becomes narrower
c)
does not change
52.
The 99% confidence interval for a proportion is (0.54, 0.72). What is p̂?
a)
0.63
b)
0.18
c)
0.09
d)
0.66
53.
Which z-value is used for a 95% confidence interval?
a)
1.65
b)
1.96
c)
2.58
d)
2.33
54.
A random sample of 85 sixth-graders in a large city take a course designed to improve scores on a reading comprehension test. Based on this sample, a 90% confidence interval for the mean improvement in test scores for all sixth-graders in the city taking this course is found to be (12.6, 14.8). Which of the following are the sample mean and margin of error on which this interval is based?
a)
Sample Mean = 13.7; Margin of Error = 1.1
b)
Sample mean = 13.7; Margin of Error = 2.2
c)
Sample mean is unknown; Margin of Error = 2.2
55.
What is the degrees of freedom equal to?
a)
n
b)
n+1
c)
1-n
d)
n-1
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