Statistik
Datenanalyse, Wahrscheinlichkeitsverteilungen und Hypothesentests.
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opal is collecting data on water levels in different parts of town. she…
Removing the outlier will decrease the spread of the graph of the data set.
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a textbook company states that the average time a student needs to take…
Her students, on average, do not take 30 minutes on the quiz, contrary to what the textbook company stated.
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zachary completes a hypothesis test and finds that he rejects the null …
B. The z - statistic lies in the critical region.
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a real estate agent is working for a developer who claims that the aver…
The z - statistic is 3.32, so the null hypothesis should be rejected. (Option: The z - statistic is 3.32, so the null hypothesis should be rejected.)
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david wants to complete a hypothesis test with the least amount of prob…
B. He could increase the sample size.
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brett is performing a hypothesis test in which the population mean is 3…
-5.30
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a study investigated the job satisfaction of teachers allowed to choose…
-1.96 and 1.96
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dion is performing a hypothesis test in which the population mean is 92…
1.98
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a popular video game claims that the average time needed to reach level…
1%
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a recent survey of 8,000 high school students found that the mean price…
4.84
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a researcher collated data on americans’ leisure time activities. she f…
\(H_0:\mu = 2.7,H_a:\mu < 2.7\) (the first option)
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a simple random sample is drawn from a normally distributed population.…
A. $\mu$
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dawn and pablo are members of a normally distributed population that is…
C. 0.05%
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a simple random sample of 85 is drawn from a normally distributed popul…
the value of 135 because it is not greater than 136.5
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what is the z-score with a confidence level of 95% when finding the mar…
1.96 (corresponding to the option with 1.96)
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a simple random sample is drawn from a normally distributed population,…
A. $18.7 \pm 5.9$
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a simple random sample of 90 is drawn from a normally distributed popul…
132.10 to 143.90
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which of the following conditions must be met in order to make a statis…
\(n\geq30\) (the option with \(n\geq30\))
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suppose the mean of a normally distributed population is 300, and 200 s…
136 (corresponding to the option with 136, likely the third option if options are ordered as 64, 96, 136, 204)
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jason and yolanda both drew a simple random sample from a non - normall…
both Jason's sample and Yolanda's sample
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for a standard normal distribution, find the approximate value of $p(z …
89% (the option with 89%)
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about what percentage of the data lies within 2 standard deviations of …
95% (the option with "95%")
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for a standard normal distribution, which of the following variables al…
$\boldsymbol{\sigma}$ (the option with $\sigma$)
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if a data value in a normal distribution has a negative z-score, which …
The data value must be less than the mean. (The option corresponding to "The data value must be less than the mean")
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for a standard normal distribution, if $p(z \\leq a) = 0.7116$, what is…
0.2884 (corresponding to the option "0.2884")
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for a standard normal distribution, find the approximate value of ( p(z…
66% (corresponding to the option with 66%)
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which of the following probabilities is equal to approximately 0.2957? …
\( P(0.25 \leq z \leq 1.25) \)
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which statement describes dramatic irony? ○ there is an unhappy ending …
D. Readers know something about a situation that the character does not know.
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for a standard normal distribution, find the approximate value of $p(z …
89% (corresponding to the option with 89%)
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what is the approximate area of the shaded region under the standard no…
\( 0.3413\) (or approximately \( 0.34\))
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for a standard normal distribution, find the approximate value of p(z ≤…
84% (the option with "84%")
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the times of the runners in a marathon are normally distributed, with a…
16%
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a normal distribution of data has a mean of 15 and a standard deviation…
2.5 (corresponding to the option with 2.5)
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what is the approximate area of the unshaded region under the standard …
The approximate area of the unshaded region is \( \boldsymbol{0.1587} \) (or approximately \( \boldsymbol{0.16} \))
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for a standard normal distribution, which of the following variables al…
\(\mu\) (the first option: \(\boldsymbol{\mu}\))
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which of the following statements is equivalent to $p(z\\geq1.7)$? $p(z…
\( 1 - P(z\geq - 1.7) \) (the second option)
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the graph below shows three different normal distributions. which state…
(Assuming the third option is "Each distribution has the same mean and a different standard deviation") The option stating "Each distribution has the same mean and a different sta…
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strong transitions in an informative essay make the writing more confus…
The third box (show readers how reasons support claims.)
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the lengths of a lawn mower part are approximately normally distributed…
68% (corresponding to the option with "68%")
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the heights of a certain type of tree are approximately normally distri…
A tree with a height of 6.2 ft is 3 standard deviations above the mean.
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what is the mean of the normal distribution shown below? (there is a no…
0
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read the passage from animal farm. meanwhile the timber was being carte…
People who seek to deceive others can be deceived themselves.
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read the passage from animal farm. meanwhile life was hard. the winter …
A. It demonstrates repetition because Squealer reminds the animals that they are free at the farm because of the work they are doing. B. It demonstrates hyperbole because Squealer…
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what is the mean of the normal distribution shown below? (graph of a no…
4
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the class scores of a history test have a normal distribution with a me…
\(z=\frac{72 - 79}{7}\) (the first option)
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4. the graph below shows the number of blocks one person can walk over …
Yes, the number of blocks is proportional to time. Because the graph is a straight line passing through the origin \((0,0)\) and the ratio of blocks to time (unit rate) is constan…
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the set of life spans of an appliance is normally distributed with a me…
2 (corresponding to the option with value 2)
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project a project b total group 1 5 6 11 group 2 7 3 10 total 12 9 21 w…
\(\frac{5}{12}\)
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the annual salaries of all employees at a financial company are normall…
5
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in the early 1900s, what did it mean for cities to be \dry\? cities all…
Cities restricted the sale and consumption of alcohol.
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which of the following is a binomial experiment? ○ flipping a coin unti…
Flipping a coin 10 times and recording if it comes up heads
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forty - four percent of the members of the science club wear blue shirt…
A. Selecting eight members randomly and recording whether each member is wearing a blue shirt
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forty-four percent of the members of the science club wear blue shirts.…
A. Selecting eight members randomly and recording whether each member is wearing a blue shirt
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how many outcomes are possible for one event of a binomial experiment? …
B. 2
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according to a poll, 30% of voters support a ballot initiative. hans ra…
0.309
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what is the probability of a success and a failure for this experiment?…
B. \(P(\text{success})=\frac{1}{4}; P(\text{failure})=\frac{3}{4}\) (assuming the option with the blue dot is the second option, and we re - label the options as A, B, C, D: A. \(…
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rina spins the spinner below 30 times. a success occurs when the spinne…
P(success) = $\frac{1}{4}$; P(failure) = $\frac{3}{4}$ (the second option)
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thirty-three percent of all students at a high school like beef stew. o…
0.67
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which of the following is a binomial experiment? a survey asking 75 peo…
D. A survey asking 75 people if they like the new school building
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a researcher finds that 15% of all commuters in a metropolitan area tak…
250 (corresponding to the option with "250" as the value)
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franco has a hat with 9 blue marbles, 4 yellow marbles, and 12 green ma…
The experiment is not a binomial experiment because the probability of choosing a green marble is not the same for each drawing.
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harlene tosses two number cubes. if a sum of 8 or 12 comes up, she gets…
\(-\frac{1}{6}\) (corresponding to the option "-\(\frac{1}{6}\)")
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a trucking company operates in three regions of the country. the table …
\$3.70 (corresponding to the option with \$3.70)
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johnny is challenged to a single-player game with an expected value of …
B. It is a favorable game.
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which of the following describes the probability distribution below? pr…
The mean is greater than the median, and the majority of the data points are to the left of the mean.
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the graph below shows the experimental probability of a runner finishin…
negatively skewed (the option corresponding to "negatively skewed" among the given radio buttons)
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a spinner is divided into two equal parts, one red and one blue. the se…
The first table (with \( X = 0 \) having \( P_X(x)=0.25 \), \( X = 1 \) having \( P_X(x) = 0.5 \), and \( X = 2 \) having \( P_X(x)=0.25 \))
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a project is graded on a scale of 1 to 5. if the random variable, x, is…
3
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look at the graph. us population distribution 1790 - 1920 based on the …
around 1915
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which of the following represents a valid probability distribution? pro…
Probability Distribution B (with X=1: P(x)=0; X=2: P(x)=0.45; X=3: P(x)=0.16; X=4: P(x)=0.39)
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which of the following describes the probability distribution below? pr…
The median is greater than the mean, and the majority of the data points are to the right of the mean. (The option corresponding to this description, assuming the options are labe…
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two bar graphs labeled as probability distributions. the first has x - …
The top graph (the upper bar graph)
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probability distribution (axes and bars with labels no prize, 1st, 2nd,…
The lower (second) Probability Distribution graph
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a school conducts a recipe contest in which 1 student gets first place,…
The top graph (the first "Probability Distribution" graph with x - axis labels "No Prize", "1st", "2nd", "3rd", "4th" and y - axis for probability)
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a family has two children. if b represents a boy and g represents a gir…
The first table (with \( X=0 \) having \( P(X)=0.25 \), \( X=1 \) having \( P(X)=0.5 \), \( X=2 \) having \( P(X)=0.25 \))
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taylor surveys students in one grade level who own at least one pet. sh…
The top Probability Distribution graph (with bars at x=1,2,3,4 matching the calculated probabilities).
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a scientist collected two sample sets of snowfall data. which statistic…
D. standard deviation
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a set of data has a mean of 0.5 and a standard deviation of 0.01. a dat…
D. The data point is 2.5 standard deviations away from 0.5.
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the number of cars sold at a dealership over several weeks is given bel…
6.9
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4, 7, 4, 10, 5 the mean is given by m = 6. which equation shows the var…
$\boldsymbol{\sigma^2=\frac{(4 - 6)^2+(7 - 6)^2+(4 - 6)^2+(10 - 6)^2+(5 - 6)^2}{5}}$ (the fourth option, assuming the last option is $\sigma^2=\frac{(4 - 6)^2+(7 - 6)^2+(4 - 6)^2+…
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fiona recorded the number of miles she biked each day last week as show…
\( s^2 = \frac{(4 - 6)^2 + (7 - 6)^2 + (4 - 6)^2 + (10 - 6)^2 + (5 - 6)^2}{6} \) (the first option)
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a poll worker analyzing the ages of voters found that μ = 65 and σ = 5.…
71
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the mean ages with standard deviations of four swim teams at a swim clu…
The ages of the Stars are the most dispersed from the team’s mean. (Corresponding option: "The ages of the Stars are the most dispersed from the team’s mean.")
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employee | weekly salary arja | $245 raz | $300 natalie | $325 mic | $4…
17,507.5 (Option: 17,507.5)
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the weekly salaries of a sample of employees at the local bank are give…
17482.5
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the test scores of a geometry class are given below. 90, 75, 72, 88, 85…
258
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the monthly mean salaries and standard deviations of four college stude…
The monthly salary of Shenika is less spread out than the monthly salary of Clarissa. (First option)
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the table shows y, the average speed of a cyclist in miles per hour, an…
\(y = \frac{96}{x}\) (the first function option)
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new car values - graph 2 number of available cars 0-9,999 10,000-19,999…
A. graph 1 because the x - axis scale makes it look like cars are selling at a lower price
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semester a i do not know, from what has been said, that there is any di…
B. Douglass uses a passionate tone to strengthen the logical arguments he makes about universal suffrage.
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the graphs below display new car values for cars at the same dealership…
Graph 1 (the top graph) is more accurate in representing the data because its y - axis starts at 0, providing a true scale of the number of available cars for each price range, wh…
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emester a i do not know, from what has been said, that there is any dif…
informal and direct
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a histogram shows data that is skewed to the right. which most likely d…
The mean is greater than the median. The rightmost values in the data set raise the mean more than the median.
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which best represents the center of the data set below? average monthly…
B. median
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gennita is creating a histogram based on the table below. | salary rang…
D. 25 - 40
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a poll asks 20 shoppers at the mall how many cups of water they typical…
A. 3
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which measure would be the most appropriate to describe the center of t…
C. median
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the stem-and-leaf plot below shows the amount of tips received by the s…
The stem does not clearly show the outlier.
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marshall bought 32 ounces of mixed nuts, which are estimated to be 30% …
\( y = \frac{0.3(32) + x}{32 + x} \cdot 100 \) (the first expression)
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thirty adults were asked how many pets they have had over their lifetim…
The mean and median are both in the interval 6 - 10.