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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three machines - a, b, and c - are used to produce a large quantity of …
b. \(0.19\) c. \(0.211\)
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carloss math teacher plots student grades on their weekly quizzes again…
A person should study approximately \(4.8\) hours.
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scores on a dental anxiety scale range from 0 (no anxiety) to 30 (extre…
\(-0.5\)
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scores on a dental anxiety scale range from 0 (no anxiety) to 20 (extre…
\(-1.25\)
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the scores on a test are normally distributed with a mean of 140 and a …
\(182\)
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the scatter plot and line of best fit below show the length of 12 peopl…
\(69\)
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colony (noun) col-o-ny kä-lä-nē \this is the second continental congres…
A. an area under the control of another country
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the scatter plot and line of best fit below show the length of 10 peopl…
\(658\)
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question the box - and - whisker plot below represents some data set. w…
78
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the weight of oranges growing in an orchard is normally distributed wit…
The interval representing the weights of the middle 95% of all oranges is \((5.5,9.5)\) oz.
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x is a normally distributed random variable with mean 27 and standard d…
\(0.68\)
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click on the graph to plot a point. click a point to delete it. answer …
The scatter - plot shows a negative correlation because as the plotted values of \(x\) increase, the values of \(y\) generally decrease.
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use a t - test to test the claim about the population mean μ at the giv…
The P - value is \(0.001\) (rounded to three decimal places).
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in which excerpt from \keynote address\ does inouye create an appeal to…
"The last 11 years have seen the passage of the five civil rights laws passed during the entire history of the United States."
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use a t - test to test the claim about the population mean μ at the giv…
The standardized test statistic is \(-3.42\)
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use a t - test to test the claim about the population mean \\( \\mu \\)…
B. \(H_0:\mu\geq7800\), \(H_a:\mu < 7800\)
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the shape of the distribution of the time required to get an oil change…
A. D. The sample size needs to be greater than or equal to 30 B. 0.0281 C. 19.1
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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.
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read the excerpt from act 2, scene 1, of julius caesar. casca. let us n…
- Casca firmly reverses his position about including Cicero, as if he hadn’t been the one to suggest it in the first place. - Casca thinks he is making important decisions when Br…
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find the critical value for a left - tailed test with \\( \\alpha = 0.0…
C. \(-1.96\)
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read the excerpt from act 2, scene 1, of julius caesar. what is the bes…
Portia says that if Brutus were simply sick, he would do something to get better. As his wife, he has made a promise to her, and she pleads with him to tell her what is on his min…
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read the excerpt from julius caesar, act 2, scene 1. brutus. it must be…
The warm praise of the people can cause Caesar to be more powerful and dangerous.
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read the excerpt from julius caesar, act 2, scene 1. portia. brutus, my…
Portia is upset because Brutus is behaving as if something is wrong, and he will not confide in her.
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read the excerpt from act 1, scene 2, of julius caesar. brutus. what me…
Brutus tells Cassius that Caesar should not be king.
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test the hypothesis using the p - value approach. be sure to verify the…
- \(np_0(1 - p_0)=240\times0.8\times(1 - 0.8)=38.4\) - \(z_0=\frac{\hat{p}-p_0}{\sqrt{\frac{p_0(1 - p_0)}{n}}}\), where \(\hat{p}=\frac{x}{n}=\frac{187}{240}\approx0.779\), \(z_0=…
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test the hypothesis using the p - value approach. be sure to verify the…
- \(np_0(1 - p_0)=240\times0.8\times(1 - 0.8)=38.4\gt10\) - \(z_0=\frac{\hat{p}-p_0}{\sqrt{\frac{p_0(1 - p_0)}{n}}}\), where \(\hat{p}=\frac{x}{n}=\frac{197}{240}\approx0.82\), \(…
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\adults sometimes have little time, or there are other circumstances th…
B. surrounding situation
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test the hypothesis using the p - value approach. be sure to verify the…
1. \(z_{0}=1.27\) 2. \(P - value = 0.102\) 3. D. Do not reject the null hypothesis, because the \(P\) - value is greater than \(\alpha\)
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3. in the sentence, \she will park her bike near the entrance,\ what do…
3. B. to leave a vehicle in a place 4. C. the sound a dog makes 5. B. to move your hand back and forth
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suppose the null hypothesis is not rejected. state the conclusion based…
C. There is not sufficient evidence to conclude that the mean price of a single - family home has decreased.
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determine the critical value for a left tailed test of a population mea…
D. - 3.733
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the mean of the following set of numbers is 6. find x. 4, 2, 5, 9, 8, x
\(x = 8\)
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julian plays on his school basketball team. he keeps track of the avera…
\(4\)
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as a colored woman i might enter washington any night, a stranger in a …
It helps the listener imagine being in Terrell's place.
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determine the critical value for a right - tailed test of a population …
D. 1.319
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fill in the blank: fill in the blank with the correct words. 1. when th…
1. bat 2. door 3. review 4. set 5. piece 1. B. the side of a river
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might enter washington any night, a stranger in a strange land, and wal…
# Brief Explanations:[SSE Completed, Client Connection Error][LLM SSE On Failure]
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level best ever since to make conditions for us intolerable. as a color…
She paints a vivid picture.
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find the standardized test statistic t for a sample with ( n = 10 ), ( …
D. - 2.189
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paradise for colored people when i first touched these shores it has be…
to demonstrate the difficulties that African Americans face in the capital
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the scatter plot shows the annual revenue for one airline. the equation…
\(1.6\)
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we have been persuaded by some that are careful of our safety to take h…
She expresses solidarity with her listeners.
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1. what does it mean to make an inference? • a) to guess randomly • b) …
1. B. To use clues and knowledge to figure out something not directly stated 2. C. Maria’s stomach growled as she stared at the lunch line.
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my loving people, we have been persuaded by some that are careful of ou…
to encourage her soldiers before a battle
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question 2 of 5 why is it important to grendel that his death be viewed…
B. Since he believes life is meaningless, he needs his death to have no purpose.
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5. reading between the ____________ means making inferences based on cl…
lines
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1. sylvie needs $110.75 for a concert ticket. she already has $16 and s…
1. \(110.75=16 + 10.5h\) 2. - Part A: \(350d\geq1400\) - Part B: \(d\geq4\), which means the family must travel for 4 or more days. 3. \(146\geq9c + 10.65\) 4. - Part A: \(c + 64\…
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determine the critical value for a left - tailed test of a population m…
A. - 1.323
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determine the critical value for a right - tailed test of a population …
A. 2.896
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suppose you want to test the claim that $mu<65.4$ and the population st…
D. Reject \( H_0 \) if the standardized test statistic is less than \( - 1.28 \)
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the dean of a major university claims that the mean number of hours stu…
A. There is not sufficient evidence to reject the claim \(\mu = 4.3\)
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the mean monthly gasoline bill for one household is greater than $150. …
A. There is not sufficient evidence to reject the claim \( \mu=\$150 \)
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question 1 of 10 which comment is about the diction of a story? a. when…
D. The author's use of dark, sinister words provides the perfect backdrop for suspense.
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find the critical value(s) for the type of t - test with level of signi…
C. \(-1.729\) is incorrect. D. \(-1.328\) is correct. The critical value for a one - tailed t - test with \(\alpha = 0.10\) and \(n = 20\) (degrees of freedom \(df=19\)) is \(t_{0…
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find the critical value for a two - tailed test with $\\alpha=0.01$ and…
D. \(±2.575\)
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test the claim about the population mean μ at the level of significance…
A. Reject \(H_0\). There is enough evidence at the 5% level of significance to support the claim.
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question 2 of 10 what is one effect that an in medias res opening is me…
C. The reader is meant to get hooked on the story from the beginning.
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the mean age of principals in a local school district is 50.1 years. if…
C. There is sufficient evidence to reject the claim $\mu = 50.1$
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in a survey conducted by the gallup organization, 1100 adult americans …
A. Increase the sample size, D. Decrease the confidence level
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the table summarizes results from 987 pedestrian deaths that were cause…
85.5
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if you randomly select a letter from the phrase \sean wants to eat at o…
$\frac{11}{31}$
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given ( h_0:pgeq0.45 ), for which confidence interval should you reject…
C. \((0.32,0.40)\)
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21. a scientist counted 3,921 total eggs in 49 sea turtle nests. each n…
B. 80 eggs
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find the critical value and rejection region for the type of t - test w…
C. \(t_0 = 2.508\); \(t>2.508\)
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find the standardized test statistic ( t ) for a sample with ( n = 25, …
D. \(1.67\)
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suppose you want to test the claim that μ≠3.5. given a sample size of n…
C. Reject \(H_0\) if the standardized test statistic is greater than \(1.96\) or less than \(-1.96\)
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the mean age of bus drivers in chicago is 54.7 years. if a hypothesis t…
D. There is sufficient evidence to reject the claim \(\mu = 54.7\).
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the statement represents a claim. write its complement and state which …
D. \(H_0:\mu = 8.8\) (claim); \(H_a:\mu eq8.8\)
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a sample of 20 part - time workers had mean annual earnings of $3120 wi…
C. (\$2803, \$3437)
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given ( h_0:mugeq18 ) and ( p = 0.079 ). do you reject or fail to rejec…
A. fail to reject \(H_0\)
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find the critical t - value that corresponds to 95% confidence and n = …
C. 2.131
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an overly involved neighborhood watch group has been investigating the …
$H_{a}:\mu > 3.2$
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low levels of testosterone in adult males may be treated using medicati…
(a) Lower bound $0.081$, Upper bound $0.167$ (b) Lower bound $0.067$, Upper bound $0.181$ (c) B. As the level of confidence increases, the margin of error increases.
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a national survey of 1200 adult citizens of a nation found that 16% dre…
F. In \(85\%\) of samples of adult citizens of the nation, the proportion that dreaded Valentine's Day is between \(0.145\) and \(0.175\)
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if a sample proportion is 0.55, which of the following could be a 90% c…
A. Lower bound: \(0.52\), Upper bound: \(0.58\); E. Lower bound: \(0.47\), Upper bound: \(0.63\)
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put the following in order from narrowest to widest interval. assume th…
D. (b), (c), (a), (d)
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a senator wishes to estimate the proportion of united states voters who…
C. 1,037
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a polistar wishes to estimate the number of left - handed scientists. w…
B. 589
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it is thought that not as many americans buy presents to celebrate vale…
D. \(0.5500\pm0.0183\)
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an oceanographer claims that the mean dive depth of a north atlantic ri…
a. \(H_0:\mu = 94.0000\) meters b. \(H_1:\mu eq94.0000\) meters c. The test statistic is \(2.4247\) d. The p - value for this hypothesis test is \(0.0196\) e. Do not reject the n…
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test the claim about the population mean \\( \\mu \\) at the level of s…
B. Fail to reject \(H_0\). There is not enough evidence at the \(1\%\) level of significance to reject the claim.
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describe the sampling distribution of \\( \\hat { p } \\). assume the s…
A. The shape of the sampling distribution of \(\hat{p}\) is approximately normal because \(n\leq0.05N\) and \(np(1 - p)\geq10\) \(\mu_{\hat{p}} = 0.587\) \(\sigma_{\hat{p}}\approx…
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the u s housing market estimates that 31% of all homes purchased in 201…
A. 0.5935 (There may be some differences due to more precise calculation of $\sigma$ and using more decimal - places in the z - score calculation. If we calculate $\sigma=\sqrt{80…
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as part of your work for an environmental group, you want to see if the…
a. \(H_{0}:\mu = 5\) b. \(H_{1}:\mu<5\) c. Test Statistic: \(-3.4641\) d. P - value: \(0.0009\) e. Decision Rule: Reject \(H_{0}\) if \(p - value<0.01\) f. There is enough evidenc…
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according to a study conducted in one city, 35% of adults in the city h…
C. Approximately normal, \(\mu_{\hat{p}} = 0.35\), \(\sigma_{\hat{p}}=0.0280\)
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a simple random sample of size ( n = 1,020 ) is obtained from a populat…
C. Approximately normal, \(\mu_{\hat{p}} = 0.56\), \(\sigma_{\hat{p}}=0.016\)
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professor zuro surveyed a random sample of 420 statistics students. one…
C. \(0.252\)
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professor zuro surveyed a random sample of 420 statistics students. one…
B. 0.600
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a simple random sample of size ( n = 14 ) is obtained from a population…
(a) B. The population must be normally distributed Sampling distribution: C. Normal, with \(\mu_{\bar{x}} = 66\) and \(\sigma_{\bar{x}}=\frac{15}{\sqrt{14}}\) (b) \(0.8159\) (c) \…
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the mean iq of statistics teachers is greater than 160. if a hypothesis…
A. There is not sufficient evidence to support the claim \(\mu>160\)
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assume that blood pressure readings are normally distributed with a mea…
D. 0.9938
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furnace repair bills are normally distributed with a mean of 273 dollar…
A. 0.2881
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give me liberty or give me death by patrick henry (excerpt) one of the …
D. It means freedom or slavery.
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the mean age of bus drivers in chicago is greater than 58.5 years. if a…
B. There is not sufficient evidence to support the claim \(\mu>58.5\).
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1. a population of data, which is unimodal and fairly symmetric, has a …
1. population mean 2. population standard deviation divided by the square root of \(n\)
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a company manufacturing computer chips finds that 6% of all chips manuf…
\(H_0:p = 0.06\) \(H_1:p<0.06\) # b.
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vegetate means to: lead a passive existence without using ones body or …
lead a passive existence without using one's body or mind
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in fairfax, the management program is aimed at controlling the number o…
most favorable conditions or greatest degree possible
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vegetate has the same or almost the same meaning as: wander surmise con…
relax
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deficiency has the same or almost the same meaning as: fashion want rea…
B. want