統計と確率
データ分析、確率分布、仮説検定、統計手法。
-
use context clues in these sentences from oor inayat khan\ to determine…
instinctive knowledge
-
there are 6 players on the cougars hockey team. the team scored a total…
\(7\) goals
-
aaliyah practices skipping stones every time she visits the lake near h…
\(3\)
-
select the best evidence to support the statement that the narrators pa…
The evidence is “But someone has sent my parents a list of the top ten schools nationwide (based on the opinion of selected educators and others) and so... we nestle into a Dutch …
-
arianna is 10 years old and is in fifth grade. this scatter plot shows …
2
-
part a: read the following excerpt from oor inayat khan\ almost immedia…
sudden disaster
-
dalton sold paintings at the bayside craft fair last fall. this scatter…
4
-
this scatter plot shows the amount of time lee spent watching tv and ho…
\(70\)
-
dean repairs and sells used cars. this scatter plot shows the ages and …
14
-
the author writes that after the spanish defeated the french in 1565, t…
B. start
-
12. the dotplots show the lifetimes of several brand x and brand y batt…
a. \(20\%\) b. Brand X has some batteries with relatively long - lasting times (e.g., a few batteries that last longer than most Brand Y batteries in the higher - end of the lifet…
-
quick review systems of equations can be solved by looking at their gra…
1. **Solution**: - First, rewrite the second equation \(-2x + 4y=4\) in slope - intercept form (\(y=mx + b\)). - Add \(2x\) to both sides: \(4y=2x + 4\). - Divide by \(4\): \(y=\f…
-
11. you are interested in how much time students spend on the internet …
a. Yes, there is an outlier. Using the \(1.5\times IQR\) rule, \(IQR = 77-30 = 47\). Lower fence \(=30-1.5\times47=-40.5\), upper fence \(=77 + 1.5\times47=147.5\). Since \(151>14…
-
10. an experiment was conducted to investigate the effect of a new weed…
d. The high concentration of the standard weed killer was more effective than the low concentration of the new chemical.
-
9. which of the following distributions has the smallest standard devia…
(d)
-
6. the percentage of students with less than $10 in their possession is…
c. \(45\%\)
-
what is the equation of the trend line in the scatter plot? use the two…
\(y=\frac{3}{2}x-\frac{9}{2}\)
-
ariel is studying to become a meteorologist. each day last week, she me…
- Hillview has the smallest interquartile range. So, Hillview had the least variation in top wind speed last week. - Prairie City's interquartile range is larger than Cedar Lake's…
-
two teachers kept track of how much time each student in their homeroom…
1. False 2. True 3. False 4. True
-
3. a research center claims that at least 28% of adults in a certain co…
The claim is "At least 28% of adults in the country think that their taxes will be audited". For the hypotheses, if we let \(p\) be the proportion of adults who think their taxes …
-
haley is helping her brother, brandon, practice his multiplication and …
Brandon has one very low division score.
-
for the following information, determine whether a normal sampling dist…
D. \( H_{0}:p\leq0.47\), \(H_{a}:p > 0.47\)
-
a science teacher wants to show how her students did on a recent quiz. …
One advantage of using a line plot is that it will clearly show every score. One advantage of using a box plot is that it will clearly show the median score.
-
ann created a histogram based on this data set from her lab partner: 4.…
\(5.5 - 5.9\), \(6.0 - 6.4\), \(6.5 - 6.9\)
-
for the following information, determine whether a normal sampling dist…
A normal sampling distribution can be used here since \(np>5\) and \(nq>5\).
-
rail vehicle operation use the information below to answer the question…
obtaining the necessary certification to operate rail vehicles
-
rail vehicle operation use the information below to answer the question…
community colleges or specialized schools dedicated to rail transportation
-
4. a car company says that the mean gas mileage for its luxury sedan is…
The standardized test statistic is approximately \(-1.98\)
-
a car company states that the mean gas mileage for its luxury sedan is …
For the sampling distribution: Use a t - sampling distribution because the population is normal, and $\sigma$ is unknown. For the hypotheses: A. $H_0:\mu\geq23$, $H_a:\mu < 23$
-
a car company says that the mean gas mileage for its luxury sedan is at…
- Sampling distribution: Use a \(t -\)sampling distribution because the population is normal and \(\sigma\) is unknown. - Hypotheses: \(H_0:\mu = 23\), \(H_a:\mu<23\) (corresponds…
-
this graph shows how a saplings height depends on its age. height of a …
40
-
this graph shows how the number of pictures eric has taken so far this …
3 days
-
grammaire the pronoun en pupils edition, p. 220 • en replaces a phrase …
1. Non merci, je n'en veux pas. 2. Non merci, je n'en veux pas. 3. Non merci, je n'en veux pas. 4. Non merci, je n'en veux pas. 5. Non merci, je n'en veux pas.
-
a car company says that the mean gas mileage for its luxury sedan is at…
F. Use a \(t -\)sampling distribution because the population is normal, and \(\sigma\) is unknown.
-
given ( h_0: pgeq0.45 ), for which confidence interval should you rejec…
A. \((0.32,0.40)\)
-
given $h_0: mu geq 18$ and $p = 0.081$. do you reject or fail to reject…
C. fail to reject \(H_0\)
-
the mean age of bus drivers in chicago is greater than 53.4 years. if a…
B. There is not sufficient evidence to support the claim \(\mu>53.4\).
-
a car maker claims that its new sub - compact car gets better than 45 m…
A. right - tailed
-
this scatter plot shows the age and shoe size of some of arianas friend…
\(4\)
-
read the sentence. \we can put this vacant lot to good use by making it…
empty and unused
-
a consumer group claims that the mean minimum time it takes for a sedan…
\(P = 0.042\)
-
annie went to the town carnival last weekend. this scatter plot shows t…
\(6\)
-
3. a consumer group claims that the mean minimum time it takes for a se…
\(t\approx1.51\)
-
select the correct answer. based on this excerpt from ernest hemingways…
A. to become interested in or engaged in something
-
you wish to test the claim that $muleq42$ at a level of significance of…
B. 2.65
-
find the standardized test statistic t for a sample with ( n = 15 ), ( …
D. 1.45
-
the statement represents a claim. write its complement and state which …
D. \(H_0:\sigma\geq9.1\); \(H_a:\sigma < 9.1\) (claim)
-
the dean of a major university claims that the mean time for students t…
B. There is not sufficient evidence to reject the claim \(\mu\leq3.9\).
-
a candidate for governor of a certain state claims to be favored by at …
A. There is sufficient evidence to reject the claim \(p\geq0.5\).
-
a consumer group claims that the mean minimum time it takes for a sedan…
\(H_0:\mu\leq14.8\) \(H_a:\mu > 14.8\) The claim is the alternative hypothesis.
-
the statement represents a claim. write its complement and state which …
A. \(H_0: \mu = 9.3\) (claim); \(H_a: \mu eq9.3\)
-
find the standardized test statistic t for a sample with n = 25, x = 20…
D. 1.67
-
a researcher claims that 62% of voters favor gun control. determine whe…
C. two - tailed
-
find the critical value(s) for the type of t - test with level of signi…
C. \(\pm3.106\)
-
suppose you want to test the claim that $mu = 3.5$. given a sample size…
A. Reject \(H_0\) if the standardized test statistic is greater than \(1.645\) or less than \(-1.645\).
-
the mean iq of statistics teachers is greater than 130. if a hypothesis…
B. There is not sufficient evidence to support the claim \(\mu>130\).
-
a consumer group claims that the mean minimum time it takes for a sedan…
- \(H_0:\mu = 14.6\), \(H_a:\mu>14.6\), claim is \(H_a\) - \(t\approx1.77\) - \(P\approx0.045\)
-
groovy gears sells robotics kits of different sizes. this scatter plot …
$70$
-
the mean age of bus drivers in chicago is 49.7 years. if a hypothesis t…
C. There is sufficient evidence to reject the claim \(\mu = 49.7\).
-
a consumer group claims that the mean minimum time it takes for a sedan…
\(t\approx2.0\) (rounded to one decimal place)
-
a consumer group claims that the mean minimum time it takes for a sedan…
\(H_0:\mu\leq14.5\), \(H_a:\mu > 14.5\), and the claim is the alternative hypothesis.
-
match the correlation coefficients with the scatterplots shown below. s…
Scatterplot A: \(r=-0.02\); Scatterplot B: \(r = 0.84\); Scatterplot C: \(r=0.65\); Scatterplot D: \(r=-0.72\)
-
a credit card company claims that the mean credit card debt for individ…
(a) The correct pair is \(H_0:\mu\leq4900\) and \(H_a:\mu > 4900\) (Option B). (b) The critical value \(t_0 = 1.692\) and the rejection region is \(t>1.692\).
-
read the passage from sugar changed the world. starting around 1800, su…
The authors include details about the changes in diets over time to inform readers about how sugar has transformed what we eat.
-
michael surveyed the basketball team and found a positive correlation o…
Michael does not have a good argument because the information he used shows a positive correlation, which does not imply causation.
-
a literary symbol is an object that takes one or more meanings beyond i…
figurative
-
scores on the gre (graduate record examination) are normally distribute…
$47.5$
-
weights of 67 college students in kilograms in september of freshman ye…
| Weight (kg) | Frequency | |----|----| | \(40.0 - 49.9\) | \(1\) | | \(50.0 - 59.9\) | \(11\) | | \(60.0 - 69.9\) | \(13\) | | \(70.0 - 79.9\) | \(7\) | | \(80.0 - 89.9\) | \(2\)…
-
a set of data items is normally distributed with a mean of 40 and a sta…
\(2\)
-
based on the following calculator output, determine the population stan…
$20.92$
-
they eat and drink out of vessels of earth or glass, which make an agre…
greed and self - interest
-
the table below shows the probability distribution of a random variable…
\(1.18\)
-
click on the graph to plot a point. click a point to delete it. answer …
The scatter plot shows a positive correlation because as the plotted values of \(x\) increase, the values of \(y\) generally increase.
-
the means and mean absolute deviations of the individual times of membe…
The difference between the mean times is about 2 times the mean absolute deviation of the data sets.
-
what is the equation of the trend line in the scatter plot?
\(y=\frac{17}{6}x-8.5\)
-
using context clues, what is the meaning of the word \dappled\ in the f…
to take the form of spots
-
select all the correct words in the passage. which two words mean \tire…
weary, wasted
-
what percentage of the data values represented on a box plot falls betw…
50%
-
compare each set of data. determine which set shows greater variability…
Set B shows greater variability.
-
find each measure for the given set of data: 11, 13, 17, 20, 22, 25, 27…
Mean \(=24\), Median \(=23.5\), Range \(=22\), Interquartile range \(=14\)
-
a scientist evaluated the local deer population. the scientist found th…
\(220\)
-
my loving people, we have been persuaded by some that are careful of ou…
It inspires her soldiers to trust in her leadership.
-
in a recent court case it was found that during a period of 11 years 87…
The hypothesis test to be conducted is \(B. H_0:p = 0.783\), \(H_1:p<0.783\) The test statistic \(z\approx - 31.15\)
-
answer attempt 1 out of 2 the scatter plot shows correlation because as…
The scatter plot shows a negative correlation because as the plotted values of \(x\) increase, the values of \(y\) generally decrease.
-
answer attempt 1 out of 2 the scatter plot shows association because as…
The scatter plot shows a negative association because as the plotted values of \(x\) increase, the values of \(y\) generally decrease.
-
use the points to describe the data and determine the line of best fit.…
The type of correlation is negative. The best estimate for the y - intercept is 80. The equation of the line of best fit is \(y=-0.05x + 80\)
-
which scatter plot could have a line of best fit whose equation is $y =…
El primer diagrama de dispersión (el de la izquierda - arriba).
-
this graph shows how the amount of gas remaining is related to the numb…
\(1\)
-
read the passage from animal farm. meanwhile the timber was being carte…
People who seek to deceive others can be deceived themselves.
-
not everyone pays the same price for the same model of a car. the figur…
$49.85\%$
-
test the hypothesis using the p - value approach. be sure to verify the…
A. Yes, because \(np_0(1 - p_0)=40.95\) \(\hat{p}=0.9\) \(z_0=-1.57\) \(P - value = 0.117\) Do not reject \(H_0\) because the \(P -\)value is greater than \(\alpha\)
-
the trade magazine qsr routinely checks the drive - through service tim…
## (a) 155.2 ## (b) 1.6 ## (c) D. One can be 90% confident that the mean drive - through service time of Taco Bell is between 153.6 seconds and 156.8 seconds
-
determine the point estimate of the population mean and margin of error…
The point estimate of the population mean is \(22\). The margin of error for the confidence interval is \(2\).
-
determine the point estimate of the population proportion, the margin o…
The point estimate of the population proportion is $0.240$. The margin of error is $0.117$. The number of individuals in the sample with the specified characteristic is $288$.
-
a researcher studying public opinion of proposed social security change…
(a) \(28\) (b) \(19\)
-
find the critical value and rejection region for the type of t - test w…
D. \(t_0 = 2.453;t>2.453\)
-
romeo and juliet by william shakespeare juliet. three words, dear romeo…
She interrupts Juliet's speech to Romeo.
-
which of the following regressions represents the strongest positive li…
Regression 4
-
a set of data items is normally distributed with a mean of 40 and a sta…
\(2\)
-
use a t - test to test the claim about the population mean \\( \\mu \\)…
D. Reject \(H_{0}\). At the 5% level of significance, there is enough evidence to reject the claim.