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 ages of the winners of a cycling tournament are approximately bell …
(a) $z\approx - 0.92$ (b) The age of 24 years is approximately $0.92$ standard deviations below the mean age of the winners. (c) The age is not unusual.
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question 1 (sample spaces lc) (multiple choice worth 2 points) which ev…
Question 1: Flipping a fair, two - sided coin Question 2: \(S=\{M,L,T,P,U,Y\}\)
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a certain brand of automobile tire has a mean life span of 36,000 miles…
The life span 31600 miles corresponds to a percentile of 3 The life span 40400 miles corresponds to a percentile of 98 The life span 36000 miles corresponds to a percentile of 50
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a certain brand of automobile tire has a mean life span of 36,000 miles…
Yes
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a certain brand of automobile tire has a mean life span of 36,000 miles…
$-2.27$
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a certain brand of automobile tire has a mean life span of 36,000 miles…
0.45
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a certain brand of automobile tire has a mean life span of 36,000 miles…
$-0.91$
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the coefficient of variation cv describes the standard deviation as a p…
6.1%
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the table shows population statistics for the ages of best actor and be…
Best Actor: $z\approx - 0.21$ Best Supporting Actor: $z\approx2.29$
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of patient and identify which is being used. the little boy tried to be…
1. Enduring 2. One 3. Distant 4. Discourage 5. Illegal 6. Expand 7. Obey 8. Conceal 9. Hobby; Concern 10. Having the quality of
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activity 3 establishing a plan look at the sample budget below and fill…
1. Ending Monthly Balance = Income Subtotal - Expenses Subtotal 2. A negative ending monthly balance means the person has overspent. They can increase income or reduce non - essen…
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use the accompanying data set to complete the following actions. a. fin…
a. The first quartile, $Q_1$, is $35.5$. The second quartile, $Q_2$, is $40.5$. The third quartile, $Q_3$, is $46$. b. The inter - quartile range is $10.5$. c. The outlier is 15.
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if a sample of 36 measurements has a variance of 25, what is the standa…
1. D. 5/6 2. C. The probability that the two populations have the same mean is less than 4%
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question 2 the variance for a sample with values 2, 2, 2, 6, 6, and 6 i…
Question 1: mean Question 2: 4.8 Question 3: 5
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the value (sum of all measurements/total number of measurements) for a …
1. mean 2. 4.8 3. 5
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compare (i) the three data sets on the right. (a) which data set has th…
First question: C. Data set (i), because it has more entries that are farther away from the mean. Second question: B. Data set (ii), because it has more entries that are close to …
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the numbers of regular season wins for 10 football teams in a given sea…
Range: \(13\) Mean: \(7.9\) Variance: \(19.89\) Standard Deviation: \(\approx4.46\)
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the ages (in years) of a random sample of shoppers at a gaming store ar…
Range: 11 Mean: 16.9 Variance: 10.1 Standard deviation: $\approx3.18$
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use the empirical rule. the mean speed of a sample of vehicles along a …
95
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the mean value of land and buildings per acre from a sample of farms is…
$70$
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the distribution of the number of hours that a random sample of people …
$7.9$
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the numbers of courses taught per semester by a random sample of univer…
$0.9$
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the numbers of courses taught per semester by a random sample of univer…
$2.9$
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which of the following best explains why one graph appears skewed and o…
The interval of the stem - and - leaf plot is not consistent.
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the box - and - whisker plot below shows the same data. 0 2 4 6 8 10 12…
The intervals on the x - axis of the histogram are too large.
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braden wants to compare the types of ducks in two nearby ponds. he coll…
- Braden should sample the ducks on each pond at the same time of day because animals are active at different times. - Braden should count more than Mallard ducks on Brook’s Pond …
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the box - and - whisker plot below shows the same data. which of the fo…
The intervals on the x - axis of the histogram are too large.
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the table displays the number of butterflies collected in a sample over…
The Viceroy population remained fairly steady over the three years recorded. The average number of Zebra Swallowtails over all three samples will be less than the number recorded …
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which best represents the center of the data set below? average monthly…
median
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india makes a box - and - whisker plot of her data. she finds that the …
The mean is less than the median because the data is skewed to the left.
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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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eldrick manages wildlife samples for ducks unlimited. two samples of du…
Eldrick should take another sample because there is too much variability in the two samples.
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a poll asks shoppers at the mall how many cups of water they typically …
6
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a sample was taken of dogs at a local dog park on two random days. the …
The proportion $\frac{16}{42}=\frac{x}{50}$ (or $\frac{8}{21}=\frac{x}{50}$) could be used. Among the given options, if we assume the intended proportion is $\frac{16}{42}=\frac{x…
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which of the following did you include in your response? check all of t…
The data appears slightly skewed, so the median is probably the most appropriate measure. My friend has a good chance of making between $16,000 and $23,000 because that is the ran…
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mr. mcelroy enjoys listening to his mp3 player, which has 2,000 songs i…
550
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two samples were taken of fish caught on small lake and are shown in th…
80
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fast pax annual salaries (thousands of dollars) analysts determined tha…
The shape of the graph is right - skewed. The most appropriate measure of center is the median. You could tell your friend that most employees have salaries on the lower end of th…
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which of the following did you include in your response? check all of t…
The data is skewed, so the mean is not a good measure of the data. A median of $20,000 is probably a better indicator of the salary you would earn. 75% of all employees make less …
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which of the following did you include in your answer? check all of the…
All of the above options could potentially be included in an answer depending on the characteristics of the specific box - and - whisker plot being analyzed. So, it could be: The …
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first construct the frequency distribution. class frequency, f 0 - 4 6 …
$7.9$
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linda randomly surveyed 20 teachers at her school about whether they pr…
Sample 2
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for two years, two samples of fish were taken from a pond. each year, t…
Trout increased its predicted average population.
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the descriptive statistics are shown. measure annual salary ($) mean 39…
The box - and - whisker plot is right - skewed. The long right tail is indicated by the large maximum value compared to the mean, median, and mode, and the fact that the mean is g…
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which type of graph would be most appropriate to display this data? a h…
a stem - and - leaf plot
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using intervals of width 10, how many intervals are needed for this gra…
25 or more
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d. a system where all states had equal population 10. the three - fifth…
10. B. Counting enslaved people for taxation and representation 11. B. It would continue for 20 more years before Congress could act 12. C. Federalism
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the distribution of the number of hours that a random sample of people …
$16.4$
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study the graph carefully. which of the following statements is true? t…
The graph is drawn correctly.
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which of the following did you include in your response? check all of t…
the range, or spread, of the salaries whether most people make a very low salary and one or two people make a high salary the minimum salary, and whether that is an entry level or…
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write a short (1,000 - 1,250 words or about 5 well - developed paragrap…
The task is to write a 1000 - 1250 word essay analyzing one's stance on Plato's statement "the unexamined life is not worth living", using evidence from course materials and perso…
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two samples of fish from a pond were analyzed. the second sample was ta…
- Fewer bass were in the pond at the time the second sample was taken. - About the same number of catfish were found in both samples.
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the proportion used to find the average number of trout you would expec…
140
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the table shows two samples of fish from a pond. if 400 fish are in the…
$\frac{7}{20}=\frac{x}{400}$
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select the button to take a sample of fish. take two samples of fish fr…
The average number of bass found in both samples is 7. The ratio of the average number of bass to the average number of fish in each sample is $\frac{7}{20}$.
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a random survey asked two samples of 100 high school students how much …
More students spend 0 - 30 minutes on homework than spend 31 - 60 minutes.
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making a valid inference a random survey asked two groups of 100 women …
pants
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in two sample surveys, 125 people were asked about their favorite fruit…
Yes, the inference is true because the total number of people who chose oranges (127) is greater than the total number of people who chose apples (83) and bananas (40) in the two …
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a survey was conducted asking people about their favorite fruit. which …
- About twice as many people prefer apples as prefer bananas. - Bananas are preferred much less frequently than apples or oranges. - The samples show little variation for each fru…
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kevin and mark took a random sample of 100 pieces of trail mix to deter…
Mark's sample is more representative.
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compare the distributions (shape, center, variability, and outliers) as…
The lower histogram is left - skewed with a center around 80 - 85 and higher variability. The upper histogram is approximately symmetric with a center around 120 - 125 and lower v…
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paris used a simulation to take two random samples of fish in a pond. h…
No, the two samples do not have similar values, so more samples are needed. No, the samples are not representative of the population.
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two samples were taken at a shopping mall. in each sample, 200 shoppers…
About the same number of people prefer apples and bananas.
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9. what helped a man named michael to change his life course? 9 conside…
The death of his mother, Bible - study, and reflection on religious content from the "Enjoy Life Forever!" book, particularly lesson 27's "Dig Deeper" section, helped Michael chan…
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six random samples were taken each year for three years. the table show…
- The number of bass decreased over time. - The number of catfish increased over time.
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using six random samples, the average number of catfish in the samples …
57
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the mean number of catfish in all 6 samples is approximately 5.7. if 20…
A. \(\frac{5.7}{20}=\frac{x}{200}\)
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select the button to take a sample of fish. generate three more random …
$6.33:20$
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select the button to take a sample of fish. what is the ratio of the av…
1:4
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in this assignment, you will explore how to find the number of differen…
the population of brook trout
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the distribution of the tuition, fees, and room and board charges of a …
The sample mean is approximately $\$21032.11$ and the sample standard deviation is approximately $\$3154.57$
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lorena took a survey of the students in her honors science class to det…
No, Lorena's sample was not a random sample of the entire school. No, Lorena's sample was biased because it was taken only from an honors class.
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social change practice active what is diffusion?
Diffusion is the spread of cultural elements (ideas, technologies, etc.) from one society or group to another over time through means like trade, migration, and communication.
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the distribution of the tuitions, fees, and room and board charges of a…
$26249.5$
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finding the expected value in a marble game yellow marble in a bag some…
Derek's expected value: $\frac{1}{2}$; Mia's expected value: $-\frac{1}{2}$; $P(GY)=\frac{1}{4}$
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finding the expected value in a marble game derek and mia place two gre…
$\frac{1}{9}$
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the iq scores of 50 students are given below. (a) construct a grouped -…
| Class | Frequency | |---|---| | 85 - 89 | 5 | | 90 - 94 | 12 | | 95 - 99 | 5 | | 100 - 104 | 11 | | 105 - 109 | 4 | | 110 - 114 | 9 | | 115 - 119 | 4 | | 120 - 124 | 0 |
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question 13 identify the histogram for the frequency distribution below…
The histogram where the bar heights for the intervals 2 - 6, 7 - 11, 12 - 16, 17 - 21, 22 - 26 are 2, 5, 6, 4, 3 respectively (usually requires visual inspection among the given h…
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ceo age salary 1 53 145 2 43 621 3 33 262 4 45 208 5 46 362 6 55 424 7 …
(a) \(46.9375\) (b) \(46.5\) (c) \(339.1875\) (d) \(350.5\) (e) Skewed left
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a. what quarter has the smallest spread of data? fourth third second fi…
a. Second b. 3 c. First d. 14 e. 10 f. 57 - 61
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gpa 1.54 2.17 3.81 2.30 3.48 1.61 2.16 2.18 3.34 1.9 2.67 1.58 3.79 3.1…
(a) \(1.6825\) (b) \(3.375\) (c) \(2.4921\) (d) \(2.29\) (e) \(2.27\) (f) \(0.92\) (g) \(1.6925\) (h) \(L=-0.85625\), \(U = 5.91375\) (i) \(0.846\)
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please find the range, sample standard deviation and inter - quartile r…
range (original data - set): 67 standard deviation (original data - set): 21.2 IQR (original data - set): 24 range (new data - set): 93 standard deviation (new data - set): 27.4 I…
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select the word that means people who are walking. around the world, mo…
Pedestrians
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select the word that means people who reside in a particular building. …
occupants
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select the word that means a very skillful musician. the scottish virtu…
virtuoso
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select the word that means public disagreement. some people argue that …
controversy
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select the word that means flooded with water. hurricane katrina hit th…
deluged
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select the word that means put an end to. in 1870, the fifteenth amendm…
abolish
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select the word that means brought disgrace to. on august 7, 2007, base…
tarnished
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select the correct answer. ross was playing with a deck of cards. he to…
{4, 5, 7, 8}
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select the word that means sings a love song outdoors at night. mozarts…
serenade
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select the correct answer. during the summer vacation, 35 students out …
\(\frac{1}{10}\)
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select the correct answer. an organization is awarding a $4,000 scholar…
205,476,480
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select the correct answer. the types of shots made in a basketball game…
$P(\text{Player B}|\text{3 - point Field Goal}) eq P(\text{3 - point Field Goal})$
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select the word that means pieces of equipment used for a specific acti…
apparatuses
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there are 16 boys and 24 girls in the school choir. the choir director …
$\frac{2}{13}$
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select the word that means an idea believed to be true. around 1514, as…
Doctrine
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the table shows the results of a survey of 250 high school freshmen and…
| | Sophomores | Freshmen | Total | |--|--|--|--| | Television | 55 | 10 | 65 | | Internet | 95 | 90 | 185 | | Total | 150 | 100 | 250 |
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select the word that means leaving out. you can usually improve your wr…
omitting
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select the correct answer. at a regional fair, the fair staff conducts …
\(\frac{21}{272}\)