統計と確率
データ分析、確率分布、仮説検定、統計手法。
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jordyn collects data on students in her school district who play in the…
\(60\)
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a jar holds 400 tumbled stones in three different colors. colin chooses…
\(88\)
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a jar holds 400 tumbled stones in three different colors. colin chooses…
Green
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a jar holds 400 tumbled stones in three different colors. colin chooses…
less
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a jar holds 400 tumbled stones in three different colors. colin chooses…
more
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the dot plot shows the survey results of 9 members of the latinx club, …
\(42\%\)
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the dot plot shows the survey results of 9 members of the latinx club, …
The mean of the survey results.
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pinner has 6 equally sized slices numbered from 1 to 6. some are grey a…
(a) \(\frac{2}{3}\) (b) \(\frac{1}{2}\)
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the dot plot shows the survey results of 9 members of the latinx club, …
Valeria’s result is not a typical value among the survey results.
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we have a deck of 8 cards numbered from 1 to 8. some are white and some…
(a) \(\frac{1}{2}\) (b) \(\frac{1}{4}\)
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the members of a schools latinx club want to know how many students at …
You can expect variability in different samples that are chosen from a population.
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the members of a schools latinx club want to know how many students at …
$36$
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the members of a schools latinx club want to know how many students at …
$44$
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suppose that the lengths of human pregnancies are normally distributed …
(a) \(224\) days and \(308\) days. (b) \(68\%\)
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or a hot dog. aurelia surveys a random sample of 100 students to find o…
100
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aurelia is ordering food for a school picnic. each student will get a h…
140
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aurelia is ordering food for a school picnic. each student will get a h…
\(160\)
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at one university, the mean distance commuted to campus by students is …
(a) Approximately 95% of the students have commute distances between 5.8 miles and 26.2 miles. (b) Approximately 99.7% of the students have commute distances between 0.7 miles and…
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kimberly is ordering ice pops for a school party. each student can choo…
48
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a supermarket manager suspects that some of the eggs in a shipment of 6…
150
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a town has 12,500 people. in a random sample of 60 people from the town…
$\frac{7}{60}\cdot12500$
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on a nationwide test taken by high school students, the mean score was …
(a) \(39\) and \(65\) (b) \(95\%\)
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quinn is helping his school choose a new mascot. he surveys a random sa…
For the first question, the percentage is $30\%$. For the third question, the best estimate is $45$.
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what percentage of the students in the sample want the mascot to be a t…
No. The results of random samples vary. They are not an exact measure of a population.
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quinn is helping his school choose a new mascot. he surveys a random sa…
30
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kumiko works at a shop that sells chicken sandwiches. she collects data…
105 sandwiches
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the 400 students at redwood middle school took a survey about the langu…
120 students
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there are 600 employees at danis office. she asks a random sample of em…
140 employees
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there are 600 employees at danis office. she asks a random sample of em…
\(\frac{7}{30}\)
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the students at grove middle school will vote on the color of new schoo…
\(40\%\)
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kevin works at a trampoline park. he collects a random sample of the ti…
1. Not Valid 2. Valid 3. Valid
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kevin works at a trampoline park. he collects a random sample of the ti…
1. Not Valid 2. Valid
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survey, people were asked to state their favorite type of television sh…
(a) Drama (b) \(40\%\) (c) \(12\%\)
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kevin works at a trampoline park. he collects a random sample of the ti…
Not Valid
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kevin works at a trampoline park. he collects a random sample of the ti…
250 day pass tickets
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each person in a community was asked, \what is your favorite type of pe…
(a) Other (b) \(20\%\) (c) \(16\%\)
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students at a japanese immersion school must study one of the tradition…
1. Not Valid 2. Not Valid 3. Valid
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students at a japanese immersion school must study one of the tradition…
1. Not Valid 2. Not Valid
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students at a japanese immersion school must study one of the tradition…
Not Valid
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this highly diffused distribution of power is conventionally known as _…
feudalism
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for each part below, indicate whether the variable is a quantitative or…
(a) Quantitative (b) Categorical (c) Quantitative (d) Categorical
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all 800 students at amayas school took a survey to help choose a new it…
320 students
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there are 300 seventh - grade students at amayas school. a random sampl…
\(192\)
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4) there are 300 seventh - grade students at amayas school. a random sa…
\(\frac{16}{25}\times300\)
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there are 300 seventh - grade students at amayas school. a random sampl…
108 seventh - grade students
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there are 300 seventh - grade students at amayas school. a random sampl…
Find \(\frac{9}{25}\) of \(300\).
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there are 300 seventh - grade students at amayas school. a random sampl…
\(\frac{9}{25}\)
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watson gave her students a biology test last week. here are the test sc…
| Test scores | Frequency | | ---- | ---- | | 71.5 to 75.5 | 3 | | 75.5 to 79.5 | 3 | | 79.5 to 83.5 | 4 | | 83.5 to 87.5 | 4 | | 87.5 to 91.5 | 4 |
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number of miles 17 12 3 15 11 14 14 20 9 14 13 18 9 10 17 send data to …
|Number of miles|Frequency| |---|---| | \(0.5 - 5.5\) | \(1\) | | \(5.5 - 10.5\) | \(3\) | | \(10.5 - 15.5\) | \(7\) | | \(15.5 - 20.5\) | \(4\) |
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use 2nd vars normalcdf to find the following probabilities: (mean =0, s…
\(P(-1.75 < Z < 1.25)\approx0.8822\); \(P(Z > 1.45)\approx0.0735\); \(P(Z < - 0.25)\approx0.4013\); \(z\) - value for 70th percentile\(\approx0.5244\); \(z\) - value for top \(5\%…
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wednesday, november 12th, 2025 bellwork probability review a team plays…
1. \(0.54\) 2. \(0.04\) 3. \(0.42\) 4. \(0.96\)
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4. the weight of an average nfl lineman in 2024 is 315 lbs. with a stan…
A. \(0.2266\) B. \(0.0401\) C. \(0.2684\) D. \(0\) E. \(0.0934\)
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3. the amount of snowfall in aspen, colorado for the winter averages 50…
A. \(0.0475\) B. \(0.1587\) C. \(0.5762\) D. \(0.1596\) E. \(0\)
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2. the average size tree in a forest is 15 feet tall with standard devi…
A. \(0.0475\) B. \(0.0228\) C. \(0.905\) D. \(0.4772\) E. \(0.6293\)
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choosing the right word select the boldface word that better completes …
1. dissolute 2. proliferate 3. lucrative 4. feinted 5. illegible 6. feint 7. sully 8. illegibility 9. unflinching 10. adjourned 11. expulsion 12. compensates
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1. the expected daily high temperature in tucson in november is 72 degr…
A. \(0.0668\) B. \(0.2266\) C. \(0.4079\) D. \(0.3092\) E. \(0.5987\)
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food is valuable in elizabethan england, far more so than in the modern…
the food supply in Elizabethan England
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russian novelist leo tolstoy was born in 1828. after dropping out of un…
Cause: Tolstoy failed as a farmer. Effect: Tolstoy joined the army. Cause: Tolstoy wrote several successful novels. Effect: Tolstoy became wealthy. Cause: Tolstoy experienced a sp…
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due to rising sea levels, many historic sites in the united states are …
- Jamestown artifacts are at risk - Experts are devising ways to remove them. - Historic buildings in Annapolis are at risk - Experts are making flood response plans. - Historic b…
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the following text is from alice moore dunbar - nelsons 1895 poem in me…
C. Slips away
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exercise 3: what is that again? complete the table below. guide questio…
- Discrete: Experiment 1 (tossing a pair of coins), Experiment 2 (rolling a die), Experiment 3 (listing the set of whole numbers), Experiment 4 (recording basketball scores). - Co…
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5. marcus has discovered an unknown white powder in an envelope at the …
identification
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the parks and recreation department for a certain state wants to better…
A. number of overnight campers per park
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question 10 1 pts a national survey reports that 18% of undergraduate s…
The false statement is: "Because the sample proportion is less than two standard deviations away from \(p\), there is insufficient evidence against the null hypothesis."
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question 9 a sociologist conducts a hypothesis test because she has a t…
None of the above answer options are correct.
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question 8 1 pts a company claims that 40% of its customers prefer home…
The observed sample statistic is consistent with the company's claim that 40% of its customers prefer home delivery because 0.06 is greater than 0.05.
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question 7 1 pts a fitness expert claims that the proportion of all adu…
When a hypothesis test is conducted, the resulting test statistic should be smaller than 0 because 0.24 is larger than the sample proportion.
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question 6 1 pts a news report claims that 68% of dog owners have drive…
Because the resulting \(P\) - value is smaller than \(0.05\), there is evidence against the null hypothesis.
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question 5 1 pts a newspaper article reports that the proportion of poi…
Nothing is wrong.
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question 4 1 pts a publication states that 80% of college students own …
None of the above statements are correct.
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question 3 1 pts a campus newsletter reports that 28% of students typic…
The significance level.
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question 2 1 pts a claim is made that 12% of adults do not have a drive…
The alternative hypothesis should be written as \(H_a:p < 0.12\) and The alternative hypothesis should be written as \(H_a:p < 12\%\) (since \(12\% = 0.12\)).
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question 1 1 pts university housing officials report that 29% of all co…
the sample result that was obtained from the surveyed students.
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micah surveys a random sample of 20 band members from his school to fin…
\(20\%\)
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micah surveys a random sample of 20 band members from his school to fin…
There are \(12\) students in the sample who practice more than 30 minutes each day. There should be \(more\ than\) 10 students in the entire band who practice more than 30 minutes…
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adela is organizing a fundraiser at vista middle school. each student a…
More students at the school will make a hippo than a frog.
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adela is organizing a fundraiser at vista middle school. each student a…
Yes, because the sample is likely to be representative of the population.
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adela is organizing a fundraiser at vista middle school. each student a…
Cat
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adela is organizing a fundraiser at vista middle school. each student a…
The first blank: is. The second blank: is.
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determine whether each method results in a random sample of bikes from …
- Check all bikes that are more than 3 years old: Not Random - Write the ID numbers on slips of paper and choose 20 slips of paper without looking: Random
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total cost (in dollars) boxed lunches ordered answer point c means that…
Point A means that the unit rate is \(\$11.00\) per lunch.
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determine whether each method results in a random sample of bikes from …
Not Random
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leah is president of her schools chess club. she wants to choose 12 mem…
Use a computer to assign each member a unique ID number. Then, survey members whose number ends with 0 or 1.
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leah is president of her schools chess club. she wants to choose 12 mem…
Yes, because each club member has an equal chance of being chosen.
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word study anglo - saxon suffix - ly the anglo - saxon suffix - ly can …
A. 1. eventually 2. warmly 3. rapidly 4. nervously 5. sharply B. 1. loyally 2. uncertainly 3. angrily 4. frequently 5. seriously 6. sleepily
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aisha owns a restaurant that serves breakfast, lunch, and dinner. she w…
The first 10 customers might be more likely to want breakfast foods.
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an orchard has three types of trees: apple (a), pear (p), and cherry (c…
Sample C
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josé is a student at lake middle school. for a math project, he needs t…
Survey all students whose locker number ends with 5.
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josé is a student at lake middle school. for a math project, he needs t…
Survey the students in José’s math class.
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josé is a student at lake middle school. for a math project, he needs t…
C. There would be a lot of data to keep track of. D. It would take a long time to survey every student at the school. E. It might be hard to contact every student at the school.
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josé is a student at lake middle school. for a math project, he needs t…
All students at Lake Middle School
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a meteorologist predicted that it would rain a total of 76 inches in pu…
| | Amount (inches) | |--|--| | Predicted Amount of Rain | \(76\) | | Correct Amount of Rain | \(80\) | | Amount of Error | \(4\) |
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the jar has a total of 220 marbles. the table shows the estimates of th…
Bree's estimate, Miguel's estimate
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the jar has a total of 220 marbles. the table shows the estimates of th…
$30$
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the class wants to know who has the best estimate. what is the amount o…
\(33\)
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credit card usage among college students a university conducted a surve…
\(0.6\)
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what is the amount of error in laceys estimate? the amount of error in …
\(66\)
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credit card usage among college students a university conducted a surve…
\(0.67\)
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credit card usage among college students a university conducted a surve…
\(0.33\)
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bank survey a regional bank is analyzing its customer base to improve i…
0.4