統計與機率
資料分析、機率分佈、假設檢定與統計方法。
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the histogram shows a citys daily high temperatures recorded for four w…
left - skewed
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the students in martys math class recorded the dimensions of their bedr…
The histogram is right - skewed, so the mean is greater than the median.
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a student creates a histogram representing the individual travel times …
The median time is less than 25 minutes.
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the graph shows a distribution of data. what is the variance of the dat…
0.25
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state whether the number of races won and number of months trained are …
Proportional, \(0.8\)
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the graph represents the distribution of the lengths of play times, in …
Most of the songs were between 3 minutes and 3.8 minutes long.
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4. a school has 500 students: 300 juniors and 200 seniors. a sample of …
4. 30 juniors and 20 seniors. 5. 20 males and 20 females. 6. 50 from group A, 30 from group B, and 20 from group C.
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reading read the email and choose the correct meaning of each sentence.…
obtain
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practice questions 1. define stratified sampling in your own words 2. l…
30 juniors and 20 seniors should be selected.
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reading read the email and choose the correct meaning of each sentence.…
become
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we do: a company has 300 employees: 180 in production, 90 in sales, 30 …
18 from production, 9 from sales, 3 from administration.
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1. the school has 200 students: 120 boys and 80 girls. we need a sample…
12 boys and 8 girls.
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building multiple means of action and expression into the initial learn…
True
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a normal distribution curve, where $overline{x}=70$ and $sigma = 15$, w…
By analyzing the normal distribution curve with \(\bar{x}=70\) (mean) and \(\sigma = 15\) (standard deviation), we can obtain information about the central tendency (average grade…
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the mean tests scores with standard deviations of four english classes …
The scores from Mrs. Rijo’s class are the closest to the class mean.
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according to vygotsky, the skilled teacher will find a level at which t…
increase.
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analyzing a consider the normal distribution curve. which statements ar…
The variance of the data is 49. ; The median is 64. ; The data point 50 is two standard deviations away from the mean.
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choose the correct meaning of get in each sentence: 1. did you get what…
1. To understand 2. To obtain / receive
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enter each data set into the statistics calculator. make note of the me…
Set A is left - skewed, Set B has the same mean and median. So the correct statements are: - Set B has the same mean and median. - Set A is left skewed.
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which systems located in the frontal lobes of the brain are used to con…
Strategic
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using technology to calculate standard deviation henry recorded the num…
$18.5$
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choose the correct meaning of get in each sentence: 1. he got angry aft…
To become
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cara computes the mean and variance for the set 87, 46, 90, 78, and 89.…
Cara incorrectly wrote \((46 - 78)^2\) as \(-(32)^2\) instead of \((-32)^2\) in the second step.
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practice analyzing data sets. which of the distributions is left skewed…
The third distribution (the one with \(x -\) values \(78,80,82,84,86,88,90,92,94,96,98,100\)) is left - skewed.
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consider the standard normal curve given. the mean is the standard devi…
The mean is \(30\). The standard deviation is \(5\). The data point \(37\) is \(1.4\) standard deviations from the mean (but if we follow the problem's "one - standard deviation" …
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the distribution of scarce resources and rewards is determined on the b…
A. an open system
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which of the distributions is right skewed? 1 2 3 4 5 6 7 8 9 10 11 20 …
The second histogram (the one with x - axis from 20 to 31) is right - skewed.
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the average estimated hours a person in the united states spent playing…
The variance of this data set is \(700\). The population standard deviation for this data set is \(26\).
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question 1 (1 point) for each blank below type in a number that represe…
50, 50, 68, 95, 99.7
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the average january surface water temperatures (°c) of lake michigan fr…
\(0.5192\)
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6 mark for review the table shows the frequency of values in a data set…
\(19\)
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based on a random sample from a population, a researcher estimated that…
A. It is plausible that the actual mean value of the variable for the population is between 19.5 and 21.5.
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in this excerpt, what does the phrase unning water\ mean? a water that …
A. water that comes through pipes in a house
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a work of literature must provide more than factual accuracy or vivid p…
It is more important for literature to reveal truths than to reflect reality precisely.
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multiple - choice questionser means...is to be are from am
to be
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this question has two parts. first, answer part a. then, answer part b.…
The proportion is \(\frac{7}{50}=\frac{x}{750}\) and the number of students with red hair in the school is \(105\).
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this question has two parts. first, answer part a. then, answer part b.…
\(105\)
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this question has two parts. first, answer part a. then, answer part b.…
The proportion is \(\frac{7}{50}=\frac{x}{750}\) and the value of \(x\) (the number of students with red hair in the school) is \(105\).
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multiple choice question in a properly drawn sample with a 3 - percent …
17 and 23
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multiple choice question what is the key to a polls accuracy? o the siz…
the size of the sample
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of the powder fell onto the desert floor. kourtney laughed. but they be…
They are both making an important promise.
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multiple select question select all that apply which of the following r…
- Respondents are questioned about unfamiliar issues. - Respondents reached by telephone refuse to participate. - Respondents hide their true opinions.
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multiple choice question what is the degree of accuracy of a public opi…
sampling error
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the fraction $\frac{3}{5}$ fits into $1\frac{2}{5}$ more than 1 time. t…
$2\frac{1}{3}$
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do you expect the quotient to be less than 1 or greater than 1? why? th…
The fraction \(\frac{3}{5}\) fits into \(1\frac{2}{5}\) **more than** \(1\) time. That means the quotient is **greater than** \(1\).
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11. the scatterplot displays the relationship between the number of spo…
a. There is a moderately strong, positive linear relationship between the number of Spotify streams and YouTube views with a few potential outliers. b. When the number of Spotify …
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data are recorded for a random sample of 25 adults. the table below sho…
B. \(\hat{y}=14618 - 3.374x\)
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data are recorded for a random sample of 25 adults. the table below sho…
E. \(\hat{y}=10,299 - 3,374x\)
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in all book formats for a large us trade publisher, by genre, 2006, 201…
A. the percentage of 2016 cookbook sales that were e - books with the percentage of 2016 science fiction and fantasy sales that were e - books.
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a scatterplot shows the relationship between the number of absences and…
D. The slope of the least - squares regression line would increase and the strength of the association would increase.
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a scatter plot shows the relationship between the number of absences an…
D. The slope of the least - squares regression line would increase and the strength of the association would increase.
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3 which of the following values is closest to the correlation between t…
D. \(0.4\)
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use the equation of the line of best fit, $y = 0.94x + 8.06$, to answer…
a. \( 8.06 \) b. \( 0.94 \) c. \( 12.76 \)
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use the equation of the line of best fit, ( y = 1.83x + 11.34 ), to ans…
(a) \(\$11.34\) (b) \(\$33.3\) (c) \(\$1.83\)
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use the equation of the line of best fit, ( y = 0.97x + 7.93 ), to answ…
(a) \(\$0.97\) (b) \(\$7.93\) (c) \(\$12.78\)
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6. corrigan airlines conducted a well - designed experiment using a ran…
- **Question 6**: B. The light treatments are randomly assigned to the flights within each block. - **Question 7**: E. An experiment using a matched - pairs design.
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5 a farmer wants to investigate the effectiveness of two types of irrig…
a. Option 2. Because it groups plots by proximity to the stream (a potential confounding variable), making blocks more homogeneous. b. - Block 1 (near - stream plots): Randomly as…
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4. a physical therapist plans to conduct an experiment using a randomiz…
a. The variable "age of the patients" should be chosen. Age is a confounding variable affecting joint pain and mobility. b. Randomized block design reduces within - block variabil…
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3. the athletic trainer for the high school soccer team is planning a s…
- a. Experimental units: 20 soccer - team students; Treatments: new shin guard, standard shin guard; Response variable: comfortability rating (1 - 10). - b. Matched pairs design. …
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the number of newly reported crime cases in a county in new york state …
Regression Equation: \(y = 25.5x + 994.3\) Final Answer: \(1198\)
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the stacked boxplot below displays the weights (in pounds) of the puppi…
Grant Puppy Clinic
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formula 0.5 points for the following data set, what is the first quarti…
\(51\)
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formula 0.5 points for the following data set, what is the first quarti…
$60.5$
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fill in the blank 0.5 points given the data set, {77, 72, 85, 66, 45, 6…
Lowest: \(45\), Highest: \(85\)
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in a survey of 2345 adults, 748 say they believe in ufos. construct a 9…
$(0.294,0.344)$
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in a survey of 3460 adults, 1446 say they have started paying bills onl…
$(0.396,0.440)$
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in a survey of 2686 adults, 1459 say they have started paying bills onl…
$(0.518,0.568)$ Interpretation: We are 99% confident that the true proportion of adults who have started paying bills online in the last year lies between 0.518 and 0.568.
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in a survey of 2542 adults in a recent year, 1301 say they have made a …
B. The 95% confidence interval is wider.
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in a survey of 2542 adults in a recent year, 1301 say they have made a …
The 95% confidence interval for the population proportion $p$ is $(0.492,0.532)$
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in a survey of 2542 adults in a recent year, 1301 say they have made a …
$(0.496,0.528)$
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in a survey of 668 lesbian, gay, bisexual, or transgender adults in a c…
C. With 99% confidence, it can be said that the population proportion of lesbian, gay, bisexual, or transgender adults who consider themselves bisexual is between the endpoints of…
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in a survey of 668 lesbian, gay, bisexual, or transgender adults in a c…
$(0.527,0.625)$ Interpretation: We are 99% confident that the true proportion of lesbian, gay, bisexual, or transgender adults in the country who consider themselves bisexual lies…
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which choice best defines a words connotative meaning? the literal mean…
the feeling and association that the word evokes
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in a survey of 658 lesbian, gay, bisexual, or transgender adults in a c…
$(0.444,0.544)$ Interpretation: We are $99\%$ confident that the true proportion of lesbian, gay, bisexual, or transgender adults in the country who consider themselves bisexual l…
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a researcher wishes to estimate, with 90% confidence, the population pr…
(a) \(n = 1692\) (b) \(n = 1519\) (c) B. Having an estimate of the population proportion reduces the minimum sample size needed.
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the figure to the right shows the results of a survey in which 1010 adu…
$(0.118,0.162)$
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the figure to the right shows the results of a survey in which 1010 adu…
\( (0.489,0.551) \)
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the figure to the right shows the results of a survey in which 1010 adu…
\((0.262,0.318)\)
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the figure to the right shows the results of a survey in which 1010 adu…
\((0.175,0.225)\)
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the figure to the right shows the results of a survey in which 1010 adu…
$(0.291,0.349)$
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use the given confidence interval to find the margin of error and the s…
\(\hat{p} = 0.695\)
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let p be the population proportion for the following condition. find th…
$0.619$
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use the standard normal distribution or the t - distribution to constru…
A. The \(95\%\) confidence interval is \((3.48,4.56)\)
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the gas mileages (in miles per gallon) of 27 randomly selected sports c…
E. Neither the standard normal distribution nor the t - distribution can be used to construct the interval.
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the gas mileages (in miles per gallon) of 27 randomly selected sports c…
B. Neither the standard normal distribution nor the t - distribution can be used to construct the interval.
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use the standard normal distribution or the t - distribution to constru…
A. The 95% confidence interval is \((3.34,3.74)\)
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peyton knows that $\frac{1}{8}$ means \1 divided by 8.\ she uses this t…
The first box (from the left) is \(0\), the second box is \(1\), the third box is \(2\), and the fourth box is \(5\)
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use the standard normal distribution or the t - distribution to constru…
A. The \(99\%\) confidence interval is \((24.10,29.30)\)
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the grade point averages (gpa) for 12 randomly selected college student…
\((1.71,2.97)\)
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e are the hottest recorded temperatures (in °f) for each of eighteen ci…
| Temperatures (in °F) | Frequency | |----------------------|-----------| | 94.5 - 100.5 | 3 | | 100.5 - 106.5 | 7 | | 106.5 - 112.5 | 6 | | 112.5 - 118.5 | 2 |
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the grade point averages (gpa) for 12 randomly selected college student…
$2.35$
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the state test scores for 12 randomly selected high school seniors are …
$$(678.9, 1139.7)$$
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the state test scores for 12 randomly selected high school seniors are …
$(663.2, 1155.4)$
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the state test scores for 12 randomly selected high school seniors are …
\(s = 304.7\)
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the state test scores for 12 randomly selected high school seniors are …
$909.3$
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in a random sample of six mobile devices, the mean repair cost was $75.…
C. With 99% confidence, it can be said that the population mean repair cost is between the bounds of the confidence interval.
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in a random sample of six mobile devices, the mean repair cost was $75.…
\(23.05\)
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in a random sample of six mobile devices, the mean repair cost was $75.…
\((51.95,98.05)\)
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in a random sample of six cell phones, the mean full retail price was $…
C. With 99% confidence, it can be said that the population mean full retail price of cell phones (in dollars) is between the interval's endpoints.
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in a random sample of six cell phones, the mean full retail price was $…
\((233.2,924.8)\)