Statistics & Probability
Data analysis, probability distributions, hypothesis testing, and statistical methods.
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if necessary, rearrange the pieces below so that the sentence is in the…
Taylor Swift will operate the rollercoaster.
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question 4 sighting - in a rifle means: a lining up the rear and front …
D. adjusting the sights to hit a target at a specific range
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the fact that ethnicity is defined as a socially constructed categoriza…
D. has different meanings, depending on the society.
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7. augustin is in line to choose a new locker at school. the locker coo…
The probability that Augustin pulls out locker #831 is $\frac{1}{535}$. He probably shouldn't be too worried since the probability is very low.
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6. out of the 20 contestants in the state math championships, 10 are gi…
a. $\frac{1}{2}$ b. $\frac{9}{19}$ c. No
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construct a box plot to represent the ages of the actors in a play. ste…
18, 24, 24, 25, 26, 28, 30, 32, 33, 44
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the launch of the high energy solar imager has been delayed indefinitel…
B. for an uncertain amount of time
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the riverboat columbia queen takes passengers on an almost - 1,000 - mi…
A. to go ashore from a ship
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8 \its brainstorming,\ she says. \you just think. dont judge yourself. …
D. saying a list of things aloud very quickly
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in a ceremony witnessed by a gallery of kings, queens, dukes, and count…
A. living a very public life
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when punxsutawney phil, the celebrated weather - predicting groundhog, …
B. ranks higher than
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although scientists cannot see them because they are shrouded in ice an…
C. blocked from sight
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experts are sharply divided over whether the economy will rebound stron…
B. to grow weak
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dear science: why do people like scary movies and haunted houses? which…
C. concerned with doing something correctly
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an ice cream company surveyed 1000 random individuals to see if they pr…
The population mean for individuals preferring chocolate is estimated as being a value within the interval of 510 to 590 because 95% of the sample means from the simulation trials…
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5 from unit 1 lesson 11 the dot - plot displays the number of marshmall…
A. 0.6 marshmallows
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part b which sentence from “dear science: why do people like scary movi…
A. Our ancestors didn't get any points for being super chill when they encountered packs of hyenas.
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what effect does eliminating the lowest value, -6, from the data set ha…
The mean increases from 4.1 to approximately 5.22. The median increases from 4 to 5.
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first read: concept vocabulary identify the choice that best answers th…
C. A teacher deliberately reads a word incorrectly.
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chapter 8: parliament stumbles again • reading summary: even after repe…
1. Taxes on glass, lead, paint, and tea. 2. They resisted. 3. No, because they continued to impose new taxes despite resistance. Chapter 9 - Question 1: They spread ideas of freed…
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you buy a candy bar for 50 cents. a year later, you go to buy the same …
People's paychecks need to increase to adjust to inflation.
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which box plot has an iqr of 10?
The box - plot where the left - hand side of the box is at 1 and the right - hand side of the box is at 11. (Since no specific identifiers for the box - plots are given like A, B,…
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brainstorming means ______. a judging other people b dreaming up possib…
B. dreaming up possibilities
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the dot plots display the height, rounded to the nearest foot, of maple…
1. The means of the two data sets both equal 8 feet. The standard deviation of the first data set is less than the standard deviation of the second data set. 2. At the second farm…
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you buy a candy bar for 50 cents. a year later, you go to buy the same …
People's incomes need to increase to adjust to inflation.
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the dot plots display the height, rounded to the nearest foot, of maple…
1. The means of the two data sets both equal 8 feet. The standard deviation of the first data set is less than the standard deviation of the second data set. 2. At the second farm…
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the depth of two lakes is measured at multiple spots. for the first lak…
Noah is correct.
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earlier we investigated the relationship between x = payroll (in millio…
The y intercept does not have meaning in this context. It is not reasonable for a team to have a payroll of $0.
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here are two box plots: 95 100 105 110 115 box plot a 95 100 105 110 11…
1. Neither. Both box - plot A and box - plot B have the same median (105). 2. Box Plot A
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the data set and some summary statistics are listed. 11.5, 12.3, 13.5, …
How does adding 5 to each of the values in the data set impact the shape of the distribution? - Does not change; the values are all shifted 5 units to the right. How does adding 5…
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calculate and interpret the residual for the cubs. the residual = 17.00…
The residual = - 17.002. The Chicago Cubs won 17.002 fewer games than the number of games predicted by the regression line with x = $182 million.
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match the two situations that would result in distributions with simila…
Situation that would result in distributions with similar measures of variability: Rolling number cubes with your eyes closed and rolling number cubes with your eyes open. Situati…
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twenty students participated in a psychology experiment that measured t…
Median; Inter - quartile range (IQR); skewed
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question 3 of 27 how confident are you in each of these predictions for…
I am more confident in the prediction for $200$ million than the prediction for $400$ million. $200$ million is in this interval of payrolls, but the prediction for $400$ million …
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the dot - plot shows the number of marshmallows added to hot cocoa by s…
1 marshmallows
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question 17 of 27 > the relationship between x = height of a student (i…
The number predicted by the least - squares regression line is typically about 3.50 away from the actual number of strides required to walk the length of a school hallway with $x$…
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read the excerpt from act 3, scene 1, of julius caesar. brutus: grant t…
Brutus says that death is a benefit and that they did Caesar a favor by killing him, because that means he had less time to worry about dying. Then he asks everyone to bathe their…
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the relationship between x = height of a student (in inches) and y = y …
A. About 39.9% of the variability in number of steps required to walk the length of a school hallway is accounted for by the least - squares regression line with $x$ = height of a…
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question 19 of 27 calculate and interpret the residual for the 2010 gol…
The residual is 3.765. Yu - Na Kim's free skate score was 3.765 points higher than predicted based on her short program score.
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question 20 of 27 interpret the slope of the least - squares regression…
The slope is 2.07. The predicted free skate score increases by 2.07 points for each additional 1 point increase in the short program score.
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question 21 of 27 interpret the value of s. the actual free skate score…
The actual free skate score is typically about 10.2 points away from the score predicted by the least - squares regression line with $x =$ short program score.
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if the odds against a certain event are 23 to 22, what is the probabili…
$\frac{22}{45}$
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for many people, the womens figure skating competition is the highlight…
B. About 73.6% of the variability in free skate score is accounted for by the least - squares regression line with $x =$ short program score.
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if the odds for a certain event are 21 to 5, what is the probability of…
$\frac{21}{26}$
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question 23 of 27 > when mentos are dropped into a newly opened bottle …
Yes. There is no leftover curved pattern in the residual plot so a linear model is appropriate for these data.
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the mean height of married american women in their early 20s is 64.5 in…
The equation for predicting $y =$ husband's height from $x =$ wife's height is $\hat{y}=33.67 + 0.54x$.
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the weatherman says that there is a 48% chance of rain today. what is t…
Probability of no - rain: 52% Odds of rain: 12 to 13 Odds of no - rain: 13 to 12
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the mean height of married american women in their early 20s is 64.5 in…
$67.15$
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gandhis nickname, mahatma, means enlightened one. great soul. happy one…
B. great soul
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we expect that students who do well on the midterm exam in a course wil…
$\hat{y}=x$, where $\hat{y}=$ predicted grade on final and $x =$ grade on midterm.
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ms. monroe mixes 200 cubes of 4 different colors for a project. she the…
The mean number of red cubes is more than the median number of red cubes.
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we expect that students who do well on the midterm exam in a course wil…
$67.1$
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the probability that event $a$ will occur is $p(a)=0.72$. what is the p…
$P(\overline{A}) = 0.28$ Odds for event $A$: 18 to 7 Odds against event $A$: 7 to 18
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there are 8 sophomores on the academic team. at the last competition, t…
A. 79%
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a mini - golf course is determining the par score for each of its holes…
The mean is the best choice because the data is nearly symmetrical.
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ms. redmon gave her theater students an assignment to memorize a dramat…
The mean will decrease.
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the graph shows the number of pages in each chapter of a book that josh…
The outlier of 2 decreases the mean page count.
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the table shows the heights, in inches, of players on a girls’ basketba…
C. 69
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brooke has scores of 84, 72, 90, 95, and 87 on her first five quizzes. …
- 90 - 86 - 92
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the dot plot shows the number of text messages mr. garcia sent each day…
The graph is nearly symmetrical.
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scores from a questionnaire measuring social anxiety form a normal dist…
For $n = 4$: $\sigma_M = 5$, $z = 0.6$, $p = 0.2743$ For $n = 16$: $\sigma_M = 2.5$, $z = 1.2$, $p = 0.1151$ For $n = 25$: $\sigma_M = 2$, $z = 1.5$, $p = 0.0668$
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suppose the probability of an event is $\frac{43}{49}$. what are the od…
Odds for the event happening: 43 to 6 Odds against the event happening: 6 to 43
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an american roulette wheel has 38 slots: two slots are numbered 0 and 0…
1. 1 to 18 2. 18 to 1
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the data set shown below represents the number of times some families w…
- Four families said they ate out twice the previous week. - One family said they ate out 5 times the previous week. - The median best represents the data set.
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fredrick hit 14, 18, 13, 12, 12, 16, 13, 12, 1, and 15 home runs in 10 …
- Fredrick's data set contains an outlier. - The mean value is about 12.6 home runs. - The median describes Fredrick's data more accurately than the mean.
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nit 2 test - tues. 1. @2 3/5 + 1 2/5 = 3 4/5 @. 3/5 + 2/3 = 1 4/15 @ 4 …
1. \(4\frac{1}{3}\) 2. \(\frac{2}{5}\) 3. \(\frac{8}{9}\) 4. \(1.34\) 5. \(0.34\) 6. \(22.876\) 7. Approximately \(24.97\) 8. Mean: \(\frac{40}{7}\approx5.71\), Median: 6, Mode: 6…
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consider the data set shown below. 42, 43, 46, 47, 47, 48, 49, 50, 51, …
The interval 44 - 47 has a frequency of 3. The interval 48 - 51 has a frequency of 4. The interval 56 - 59 has a frequency of 1.
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directions: add a form of the com - prefix to each word or root to crea…
1. community 2. correct 3. concentrate 4. computer 5. consider 6. collection 7. conclusion 8. communicate 9. container 10. confusion 11. communicate 12. concentrate 13. confusion …
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suppose babies born after a gestation period of 32 to 35 weeks have a m…
A. The baby born in week 32 weighs relatively more since its z - score, 0.92, is larger than the z - score of - 0.12 for the baby born in week 40.
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question 5 2 pts for a population with a mean of $mu = 40$ and a standa…
For $n = 4$, $\sigma_M = 4$ and $z=-1.5$ For $n = 16$, $\sigma_M = 2$ and $z=-3$
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fourth grade > p.2 read about business and technology mct look at the w…
smooth and shiny
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an american roulette wheel has 38 slots: two slots are numbered 0 and 0…
The odds for the ball landing in an odd - numbered slot: 9 to 10 The odds against the ball landing in an odd - numbered slot: 10 to 9
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nit 2 test - tues 1. ①2 3/4 + 1 1/4 ②3/5 + 2/3 ③4 3/7 + 2 1/2 ④2/3 - 1/…
1. $3\frac{4}{5}$, $1\frac{4}{15}$, $6\frac{13}{14}$, $\frac{7}{15}$, $\frac{2}{5}$, $1\frac{1}{15}$, $1.34$, $0.34$, $22.876$, $24.97$, Mean: $5.25$, Median: $5.5$, Mode: 6, Rang…
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an american roulette wheel has 38 slots: 18 red, 18 black, and 2 green.…
The odds for the ball landing in a green slot: 1 to 18 The odds against the ball landing in a green slot: 18 to 1
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question 4 3 pts for a sample of n = 16 scores, what is the value of a …
If the standard deviation is 32, then $\sigma_M = 8$. If the standard deviation is 16, then $\sigma_M = 4$. If the standard deviation is 4, then $\sigma_M = 1$.
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an american roulette wheel has 38 slots: 18 red, 18 black, and 2 green.…
The odds for the ball landing in a red slot: 9 to 10 The odds against the ball landing in a red slot: 10 to 9
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question 3 2 pts match the following to the correct description. distri…
1. Distribution of sample means approaches a normal distribution as n approaches infinity: Central Limit Theorem 2. Variability of a distribution of sample means: Standard error 3…
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an american roulette wheel has 38 pockets. in number ranges from 1 to 1…
For odds for: 9 to 10 For odds against: 10 to 9
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4. a school district gives each student an agenda book at the beginning…
About 16364 (assuming 10% of current students are new students throughout the year as a rough estimate)
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read the passage from marriage is a private affair by chinua achebe. th…
Nnaemeka says that he will marry Nene against Okeke's wishes.
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which of the following statements are true? mark all that apply. the pr…
- Expected Value is the average gain or loss of an event if the procedure is repeated many times. - If the odds for an event are 3 to 5, then the odds against that event are 5 to …
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if most people in a town own their own homes, there are fewer houses to…
D. Home ownership has negative consequences for employment.
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experts calculate the probability of a particular horse winning the ken…
$P(not\ win)=0.2$ Odds against winning: 1 to 4
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a card is drawn randomly from a standard 52 - card deck. find the follo…
Probability the card drawn is a face card: $\frac{3}{13}$ Probability the card drawn is not a face card: $\frac{10}{13}$ Odds in favor of drawing a face card: $\frac{3}{10}$ Odds …
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find the odds for rolling a 6 - sided die and getting a 3. to find the …
Odds for: 1 to 5 Odds against: 5 to 1
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read the excerpt from i believe in a british empire by joseph chamberla…
Both speakers use evidence of soldiers' sacrifices as proof of national unity.
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what conflicts were at the heart of constitutional debates between fede…
What conflicts were at the heart of constitutional debates between Federalists and Anti - Federalists? - Power distribution between central and state governments. - Absence of a B…
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the letters in the word mathematics are arranged randomly. write your a…
0.091 0.182 0.364 0
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analyzing sentence parts in informational texts - quiz - level e writin…
Chinese writing uses pictures.
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herbert white says about sergeant morris, \if the tale about the monkey…
1. He doesn't believe the story of the monkey's paw and convinced it will not work. 2. unconcerned and doubtful 3. "I threw it on the fire. If you keep it, don't blame me for what…
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a survey was conducted at a local ballroom dance studio asking students…
a) \(10.5\%\) b) \(9.0\%\) c) \(22.4\%\) d) \(17.9\%\) e) \(53.7\%\)
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3. a food bank collects 324,887 items in one year. the food bank expect…
About 649,774 items. We assumed a linear - growth pattern where the number of items collected per year remains the same as the previous year for this estimate.
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if the probability of an event not happening is $\frac{60}{97}$, what i…
$\frac{37}{97}$
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if the probability of an event is $\frac{45}{52}$, what is the probabil…
$\frac{7}{52}$
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this four - syllable word (pronounced “to - mo - da - chi”) is written …
The Japanese writing system may use a different character for each syllable. In contrast, the Chinese system always uses characters to stand for words or parts of words.
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a ball is drawn randomly from a jar that contains 2 red balls, 4 white …
(a) $\frac{2}{13}$ (b) $\frac{4}{13}$ (c) $\frac{7}{13}$ (d) $0$
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9 guest, guest question that follows. \well, when the president does it…
C. rule of law
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the mean score on a physics test was 75 points. amy’s score was 67 poin…
16
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giving a test to a group of students, the grades and gender are summari…
$P(\text{Student was male})=\frac{31}{74}$ $P(\text{Student was female})=\frac{43}{74}$ $P(\text{Student was male and got an "A"})=\frac{5}{74}$ $P(\text{Student was female and go…
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a bag contains 2 gold marbles, 8 silver marbles, and 23 black marbles. …
$\frac{2}{33}$