Statistics & Probability
Data analysis, probability distributions, hypothesis testing, and statistical methods.
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a city council has requested a household survey be conducted in a subur…
Stratified sampling
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question. describe the association in the scatter plot below. the scatt…
positive linear
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describe the correlation in the scatter plot below. correlation because…
negative linear with one outlier
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cars in a parking lot: how many suvs are in the parking lot? how many r…
How many SUV's are in the parking lot? 20 How many red Hondas are in the parking lot? 4 How many of the red cars in the parking lot are not SUV's? 9 How many cars are in the parki…
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cars in a parking lot: how many suvs are in the parking lot? how many r…
How many SUV’s are in the parking lot? 31 How many red Hondas are in the parking lot? 4 How many of the red cars in the parking lot are not SUV’s? 9 How many cars are in the parki…
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a survey asks 220 people \what beverage do you drink in the morning?\, …
How many people drink tea in the morning? 104 How many people drink coffee in the morning? 96 How many people drink neither tea nor coffee? 56
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consider the venn diagram below. n(a) = n(b)= n(a ∩ b)= n(a ∪ b)= n(a)=…
$n(A)=13$ $n(B)=7$ $n(A\cap B)=3$ $n(A\cup B)=17$ $n(A')=13$ $n(B')=19$
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thoughts clearly and comprehensively. consider a feature that would bes…
D. A collaborative document or survey tool where volunteers can leave comments and suggestions
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read the paragraph. dr. martin luther king jr. wrote great speeches. he…
B. created powerful speeches C. crafted meaningful speeches
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a school psychologist wants to test the effectiveness of a new teaching…
1. What is the response variable in this experiment? - The score of Group 1 on the achievement test, The score on the achievement test of Group 2 2. Which of the following explana…
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in the 1300s, the word bachelor referred to a young, low - ranking knig…
When he advanced in his apprenticeship, the bachelor upgraded his attire to a suit of metal body armor.
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question 12 researchers are interested in whether cutting out desserts …
4
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which claim is the most effective for the argument that the minimum age…
Changing the minimum driving age to 18 would mean safer roads for everyone, since less - experienced drivers are more likely to have accidents.
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you must remember that the forest which contributes nothing to the weal…
They are natural resources to be developed.
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william is throughout ever ready, but never hasty - always willing to w…
resolute
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unstable traffic flow occurs when drivers accelerate and brake too ofte…
C. 40
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students apply for admission to different academic programs within a co…
$\frac{68}{250}$
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alex records the running - time—the number of minutes a movie lasts fro…
90 - 100 minutes
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students apply for admission to different academic programs within a co…
65.0%
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the graph below displays a fire departments response time, which measur…
80 - 90 seconds
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an appliance store sells microwave ovens and has many different styles …
power settings
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the stemplot below represents the number of bite - size snacks grabbed …
skewed to the right
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what percentage of trains were late in this particular week? day of the…
27.6%
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an appliance store sells microwave ovens and has many different styles …
microwave ovens
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the stemplot below represents the number of bite - size snacks grabbed …
The distribution of the number of snacks grabbed is skewed right with a center around 18 and varies from 12 to 45. There are possible outliers at 38, 42, and 45.
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alex records the running - time—the number of minutes a movie lasts fro…
skewed right
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the relative - frequency table below displays the proportion of 40 resi…
The frequency table with values corresponding to the given relative - frequency table for 40 residents: | Social Media Site | Frequency | | ---- | ---- | | Upstart | 4 | | Aster |…
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a state tourist guide provides information on summer vacation towns. so…
towns
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19. graph the following quadratic equation and find the solution by int…
19. B. 2 20. B. 27
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a random sample of teenagers were surveyed and asked about their favori…
Fewer students in the sample listed volleyball as their favorite sport than football is not correct. Since the sector for football is smaller than the sector for volleyball in the…
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a sample of adults was asked to choose their favorite sport to watch fr…
\(\frac{34}{149}\)
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the manager of the car - wash facility offers three different types of …
55.8%
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the dotplot below displays 26 students scores on a 30 - point statistic…
The distribution of quiz scores is skewed right with a center around 24 and possible outliers at 12, 14, 15, and 16.
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alex records the running - time—the number of minutes a movie lasts fro…
90 - 100 minutes
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a scientist is studying the characteristics of butterflies and collects…
Wingspan is a continuous quantitative variable.
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people of different ages were asked the question \do you listen to audi…
Yes, because the scale does not start at 0.
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seventy - five percent of the flowers in the arrangement are roses and …
13%
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twenty - five bakery customers were surveyed to determine if they like …
\(\frac{2}{7}\)
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if events a and b are independent, what must be true? p(a|b) = p(b) p(a…
B. $P(A|B) = P(A)$
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question 6 define confounding. choose the correct answer below. using t…
The effect of two factors (explanatory variables) on the response variable cannot be distinguished
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question 3 define response variable. choose the correct answer below. t…
The quantitative or qualitative variable for which the experimenter wishes to determine how its value is affected by the explanatory variable
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if events a and b are independent, and the probability that event a occ…
The probability that event A occurs, given that event B occurs, is 83%. So the correct option is: The probability that event A occurs, given that event B occurs, is 83%.
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question 2 define treatment. choose the correct answer below. any combi…
Any combination of the values of the factors (explanatory variables) administered to experimental units
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hiro has a stack of cards with one number from the set 1, 1, 2, 2, 3, 3…
$\frac{3}{28}$
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a study found that 23% of the cars manufactured last year were suvs, 13…
15%
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read the excerpt from politics and the english language by george orwel…
Orwell's purpose is to persuade readers to use simple language in political writing. He achieves this by discouraging the use of worn - out words and phrases.
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read the excerpt from politics and the english language by george orwel…
C. examples
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question help: written example message instructor what percentage of st…
What percentage of students were younger than 30 years old? 60% How many students were at least 43 years old? 7 How many students were 19 years old? 12
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a survey of \how many minutes does it take you to eat breakfast?\ has t…
The dot - plot should have 0 dots above 1 and 3 and 5, 3 dots above 2, 4 dots above 4, 2 dots above 6, 3 dots above 7, 1 dot above 8, 5 dots above 9 and 2 dots above 10, all start…
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question 14 a survey of how many minutes does it take you to eat breakf…
Follow the above steps to create a dot - plot with dots placed on the number line according to the frequency of each value in the data set.
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a survey of the 12th - grade students at gulfport high school found tha…
17%
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twenty - two percent of the large pieces of mail that rachel received t…
28%
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imagine you are in a country with a mixed economy. this means it has el…
For government in command economy: Regulating industries for consumer protection. For private business in private economy: Opening a coffee shop. For individuals: Being consumers …
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practice problem: what rule do we use? lets work through a problem wher…
The exact probability of drawing a score of 110 or less from a normal distribution with $\mu = 100$ and $\sigma=20$ is $p = 0.6915$. So the correct option is: The exact probabilit…
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proportion outside the interval: $31,000 to $67,000 the average startin…
Rule 4: $1 - [p(z_2)-p(z_1)] = 0.0456$ (Shade outside the 2 z - scores)
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step 4: interpret the final proportion the average starting salary is μ…
The proportion of starting salaries within a range of $30,000 to $70,000, from a normal distribution with $\mu = 49000$ ($\sigma = 9000$), is $p = 0.9727$.
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step 3: apply the rule & report the final proportion the average starti…
$p(z_{final}) = 0.9727$
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salary range: proportion within $30,000 and $70,000 the average startin…
Rule: Rule 1 $z_1$: - 2.11 $z_2$: 2.33
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question 14. a survey of how many minutes does it take you to eat break…
Follow the above - described steps to make the dot plot for the given data on the provided red - line.
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here is a regular stem - and - leaf plot (for a rather small data set):…
5 | 134 5 | 56668 6 | 00014 6 | 56678 7 | 0233344 7 | 56778 8 | 0024 8 | 5588 9 | 1 9 | 27
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you are being asked to convert this to an split stem - and - leaf plot.…
| Stem | Leaf (0 - 4) | Leaf (5 - 9) | |------|-------------|--------------| | 0 | 0, 0, 0, 0 | 7, 7 | | 1 | 1, 1, 1 | 2, 4, 4, 6, 6| | 2 | 0, 0, 2, 3, 3, 4, 4| 5, 5, 9 | | 3 | | …
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the table below shows the head size of 30 male soldiers in inches. the …
|Stems|Leaves| |----|----| |24|6| |25|1 8 9 0| |26|2 8 7 7 5 3 4 3 7 8| |27|1 0 3 2 1 3 0 5| |28|0 7 1| |29|0| |32|8|
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the histogram below displays the distribution of 49 ages at death due t…
35.3%
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the histogram below displays the distribution of 49 ages at death due t…
5.5%
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determine the distribution of the data pictured below. skewed - left sk…
Skewed - right
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protection of habeas corpus means that citizens cannot be punished with…
citizens cannot be held without legal action.
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question help: message instructor submit question frequency 1 2 3 4 5 1…
Skewed - left
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while working on a building in new york city, workers uncovered the rem…
D. artifacts
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a store surveyed 185 customers to find out their ages. the bar graph be…
The number of customers 24 years old or younger is 70. The percentage of 18 - 24 customers is approximately 21.6%.
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for the following distribution fill in the frequency distribution class…
| Class | Frequency | | ---- | ---- | | 0 - 9.9 | 4 | | 10 - 19.9 | 3 | | 20 - 29.9 | 10 | | 30 - 39.9 | 11 | | 40 - 49.9 | 8 |
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5. jada measures the growth of 10 tomato plants and lists the data in a…
$\frac{7}{8}$
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shane created a scatter - plot and drew a line of best fit, as shown. w…
C. $y=\frac{1}{2}x + 10$
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select the correct answer. the data from a survey on the academic degre…
C. 1601000
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for the following distribution fill in the frequency distribution class…
| Class | Frequency | | ---- | ---- | | 0 - 9.9 | 4 | | 10 - 19.9 | 2 | | 20 - 29.9 | 8 | | 30 - 39.9 | 10 | | 40 - 49.9 | 8 |
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a weather historian gathered data about the average temperature and tot…
When the average temperature is $0^{\circ}F$, the total snowfall is around 18.5 inches. There is a strong negative association between average temperature and total snowfall becau…
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select the correct answer. the developer of a new plant fertilizer gath…
D. Yes, because the correlation coefficient is closer to 1 than to 0, which indicates a strong association between the variables
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select the correct answer from each drop - down menu. the table shows d…
The marginal total 4293 is the total number of students in the 25 - 34 age - group. The relative frequency of females in the 35 - plus age - group compared with the total number o…
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a group of students were surveyed about what they want to be when they …
33 12 26
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select the correct answer. nancy drew lines of best - fit for two scatt…
D. Neither line A nor line B is a well - placed line of best fit.
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in rodericks song \the haunted palace\ the narrator says he first perce…
8) The narrator means Roderick's reason is failing. The song tells a story of a once - grand place now in decay. It suggests Roderick is close to madness. 9) Roderick believes the…
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select the correct answer. a pharmaceutical company claims that the use…
B. 21%
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type the correct answer in the box. use numerals instead of words. if n…
18
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select the correct answer. a frozen yogurt stand offers three flavors o…
C. The owner should use fruit as the mixed - in topping
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the employees of a company were asked to choose their favorite food. th…
An equal number of female employees chose burgers and hot dogs as their favorite food. A greater number of male employees chose pizza as their favorite food than the female employ…
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question 5. the following data set outlines the scores students had on …
| Score | Frequency | | ---- | ---- | | 40 - 49 | 3 | | 50 - 59 | 1 | | 60 - 69 | 3 | | 70 - 79 | 4 | | 80 - 89 | 2 | | 90 - 99 | 3 |
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select the correct answer. maya collected data about the number of ice …
B. 89
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select the correct answer. nikki gathered data about the length of time…
C. 63
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which phrase best describes the relationship indicated by the scatter p…
D. no correlation
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if a data line on a graph slopes upward as it goes to the right, it is …
C. the relationship between the variables on the axes is positive.
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the plot above shows the number of computers a store sold the first fou…
Total computers sold: 22 Computers sold on Tuesday: 8 Percentage of computers sold on Tuesday: 36.4% Percentage of computers sold on Monday or Tuesday: 50.0%
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the pie chart below shows a companys expenditures in the last quarter. …
Travel
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select the correct answer. the data from a survey on the academic degre…
B. 2.87%
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a group of adults were asked how many children they have in their famil…
Approximately 19.23%
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19 select the correct answer from each drop - down menu. the table show…
1. 1495 2. 10 3. a strong positive
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identify which of the following microeconomic topics can have an impact…
d. How do people decide how much to save for the future, or whether they should borrow to spend beyond their current means?
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a survey of ninth - grade students at a high school was conducted to de…
In the table, from top - to - bottom, left - to - right: 2, 20, 3; 50
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type the correct answer in the box. use numerals instead of words. maso…
| | Pencils | Pens | Total | |--|--|--|--| | Male | 40% | 10% | 40% | | Female | 30% | 20% | 60% | | Total | 70% | 30% | 100% |
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name: dorian ellis hour: 6 directions: using the text and your annotati…
1. The narrator feels dread and unease. The house's decay, isolation, and atmosphere cause these feelings. 2. The narrator comes due to a letter from Roderick asking for company. …
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trevor drew lines of best fit for two scatter plots, as shown. which st…
A. Only line A is a well - placed line of best fit
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the owner of a fruit stand gathered data for a week about the number of…
A. only plot A