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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3. a sample of the length in inches for newborns is given below. assume…
a. \(19.04\) b. \(t -\)distribution c. The population must be approximately normal d. Lower bound \(=16.10\), Upper bound \(=21.98\) e. The researcher is 99% sure that the mean le…
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the manager of a neighborhood plant nursery measured the height of ever…
skewed to the right
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a researcher studying public opinion of proposed social security change…
10
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a researcher studying public opinion of proposed social security change…
10
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which of the following describes a decorative technique used by kuba ar…
They sewed beads and shells with symbolic meanings onto the mask.
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which explains extrinsic motivation? motivation in which there is a rew…
motivation in which there is a reward
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which of the statements below is true for the following set of numbers?…
The range and the midrange are equal.
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illegal illegible the meanings of these words are similar contradictory…
neither similar nor contradictory
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a researcher studying public opinion of proposed social security change…
20
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which are the best strategies for staying motivated when working toward…
Look at mistakes as learning opportunities, Make the work personally meaningful, Find the joy in learning.
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the movement of the progress bar may be uneven because questions can be…
2
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a researcher studying public opinion of proposed social security change…
20
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2. a 2011 gallup survey based on telephone and face - to - face intervi…
D. We are 95% confident that 27.5% to 32.5% of all Chinese adults smoke.
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calculating and interpreting the median the dotplot shows the number of…
La mediana es \( 2.5 \). Esto indica que la mitad de los estudiantes pasaron \( 2.5 \) horas o menos viendo televisión y la otra mitad pasaron \( 2.5 \) horas o más.
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using the t distribution table, find the critical value(s) for the t te…
\(3.143\)
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the movement of the progress bar may be uneven because questions can be…
Trey: 14, Callie: 8, Will: 10 (the second table option)
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reject or not state whether or not the null hypothesis should be reject…
Do not reject the null hypothesis
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reject or not state whether or not the null hypothesis should be reject…
Do not reject the null hypothesis
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calculating and interpreting the mean the stemplot shows how much money…
Medida de tendencia central. On average, students earned $205.53 per paycheck.
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1. all else equal, an increase in sample size will cause a(n) increase/…
decrease
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calculating and interpreting the mean the stemplot shows how much money…
The mean paycheck is \(\$225.53\). The mean is a **measure of central tendency**. This mean paycheck indicates that, on average, a student in the sample makes approximately \(\$22…
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many people believe that the average number of facebook friends is 130.…
$1.28$
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at a museum cafe you can get a pre - made boxed lunch with a sandwich, …
\(\frac{1}{4}\)
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which of the following statements about the box - and - whisker plot be…
The statement “There are fewer data points in the lower two quartiles than in the upper two quartiles” is not true.
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4. determine whether the statements about the central limit theorem are…
- a. False. The mean of the sampling distribution of the sample mean is equal to the population mean and is not affected by sample size. - b. True. Since \(\sigma_{\bar{x}}=\frac{…
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which box - and - whisker plot represents this data: 6, 9, 13, 13, 18, …
The first box - and - whisker plot (the one with the box starting around \(13\), median around \(21\), box ending around \(27\), and whiskers from \(6\) to \(30\))
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3. iq scores are normally distributed with a mean of 100 and a standard…
a. \(9.18\%\) b. \(1.04\%\)
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which of the statements below is true for the following set of numbers?…
The range and the midrange are equal.
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miner minor the meanings of these words are similar contradictory neith…
neither similar nor contradictory
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2. the systolic blood pressure of adults in the usa is nearly normally …
a. \(0.0254\) b. \(0.1226\) c. \(105.4632\) d. \(160.12\)
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the manager of a cafeteria kept track of the number of each type of lun…
The pictograph (with $\square = 10$ lunches)
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the movement of the progress bar may be uneven because questions can be…
Mean, 14; Median, 13.5; Range, 8; Midrange, 15 (the fourth option)
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at a museum cafe you can get a pre - made boxed lunch with a sandwich, …
\(\frac{1}{8}\) (corresponds to the third option)
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the movement of the progress bar may be uneven because questions can be…
The third box - and - whisker plot (the one with \(Q_1 = 13\), \(Q_2=22\), \(Q_3 = 27\), minimum \(6\), maximum \(30\))
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chapter 5 practice, part 2 name 1. using the central limit theorem, det…
a. Not normal. Reason: \(n = 5<30\) and population distribution is unknown. b. Normal. Reason: \(n=35\geq30\) (Central Limit Theorem applies for \(n\geq30\) even if population is …
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at a museum cafe you can get a pre - made boxed lunch with a sandwich, …
\(\frac{1}{4}\)
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1. using the central limit theorem, determine whether the sampling dist…
- a. Not approximately normal. Reason: \(n=5<30\) and population distribution is unknown. - b. Approximately normal. Reason: \(n = 35\geq30\) (CLT for non - normal populations wit…
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the movement of the progress bar may be uneven because questions can be…
The midrange of the data set shown is 85.
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the movement of the progress bar may be uneven because questions can be…
The range is larger than the midrange.
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3. a particular surgery for newborns has a success rate of 80%. conside…
a. $\mu_X = 80$ b. $\sigma_X = 4$ c. $P(X = 90)\approx0.0077$ d. $P(X>85)\approx0.0846$ e. $P(X<75)\approx0.0846$ f. $P(60\leq X\leq70)\approx0.0089$
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emilys math teacher finds that theres roughly a linear relationship bet…
The number of hours a student should spend on their homework to expect a score of 85 on the quiz.
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lauren is preheating her oven before using it to bake. lauren wants to …
The oven's temperature after 1 minute.
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the movement of the progress bar may be uneven because questions can be…
\(23\)
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progress: the movement of the progress bar may be uneven because questi…
12
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a scientist estimates that the mean nitrogen dioxide level in a city is…
At the \(7\%\) significance level, there is not enough evidence to support the scientist's claim that the mean nitrogen dioxide level in the city is greater than \(32\) parts per …
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9. if your math class had a greater standard deviation for the first qu…
The scores on the first quiz were more spread out (had more variability) than the scores on the second quiz.
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ela t1a - aaa01 walt whitmans \song of myself\ it flings my likeness af…
optimistic and independent
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a scientist estimates that the mean nitrogen dioxide level in a city is…
\(z\approx - 2.16\)
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a scientist estimates that the mean nitrogen dioxide level in a city is…
\(z\approx - 2.09\)
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a scientist estimates that the mean nitrogen dioxide level in a city is…
Rejection region: \(z > 1.48\)
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a scientist estimates that the mean nitrogen dioxide level in a city is…
\(z_{0} = 1.48\)
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a. compute the sample mean and sample standard deviation for private an…
The \(95\%\) confidence interval is \(\$13.27\) to \(\$27.37\)
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a scientist estimates that the mean nitrogen dioxide level in a city is…
B. \(H_0:\mu\leq32\), \(H_a:\mu > 32\) (claim)
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a light bulb manufacturer guarantees that the mean life of a certain ty…
A. Fail to reject \(H_{0}\). There is not sufficient evidence to reject the claim that mean bulb life is at least 765 hours.
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a light bulb manufacturer guarantees that the mean life of a certain ty…
Option B is correct. In a left - tailed test, the rejection region is on the left side of the critical value. The graph in option B shows the "Reject \(H_{0}\)" region on the left…
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a light bulb manufacturer guarantees that the mean life of a certain ty…
\(-1.65\)
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a light bulb manufacturer guarantees that the mean life of a certain ty…
E. \(H_0:\mu\geq765\) (claim), \(H_a:\mu < 765\)
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a fast food restaurant estimates that the mean sodium content in one of…
D. Fail to reject \( H_0 \). There is not sufficient evidence to reject the claim that mean sodium content is no more than 912 milligrams.
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2. ten percent of college graduates think that judge judy serves on the…
a. Mean \(\mu = 0.5\), Variance \(\sigma^{2}=0.45\), Standard deviation \(\sigma\approx0.67\). On average, 0.5 out of 5 college graduates think Judge Judy serves on the Supreme Co…
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which regression equation best fits these data?
A. \(y = - 0.58x^{2}-0.43x + 15.75\)
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for the following conjecture, state the null and alternative hypotheses…
The null hypothesis is \( H_0: \mu = 36 \). The alternative hypothesis is \( H_1: \mu > 36 \).
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which regression equation best fits these data? choice a ( y=-0.59x + 1…
# Explicación paso a paso: ## Paso 1: Analizar la tendencia de los datos Observamos que la relación entre \(x\) e \(y\) no es lineal (ya que una ecuación lineal \(y = mx + b\) no …
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which regression equation best fits these data? choice a. $y = - 0.32 x…
A. \(y=-0.32x^{2}-1.26x + 15.81\)
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amy works at a video game store. she made a bar graph to show what type…
\(2\)
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for the following conjecture, state the null and alternative hypotheses…
The null hypothesis is \( H_0: \mu = 27923 \). The alternative hypothesis is \( H_1: \mu eq 27923 \).
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wendys family hosted a barbecue last weekend. the bar graph shows how m…
36
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what is the quadratic regression equation that fits these data? choice …
A. \(y = 1.62x^{2}+2.30x + 9.20\)
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a fast food restaurant estimates that the mean sodium content in one of…
A. The rejection region is $z>1.28$.
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scott and his stepdad like to build models together. the bar graph show…
\(255\)
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abby is memorizing all the u.s. state capitals. the bar graph shows how…
\(10\)
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what is the quadratic regression equation that fits these data? choice …
C. \(y = 2.13x^{2}+0.13x + 6.39\)
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a fast food restaurant estimates that the mean sodium content in one of…
\(z_{0} = 1.28\)
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manuel got a new guitar and is learning many new chords. he made a bar …
\(3\)
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a fast food restaurant estimates that the mean sodium content in one of…
E. \(H_0:\mu\leq912\) (claim), \(H_a:\mu > 912\)
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tyrone plays the trumpet in the brass section of his band class. the ba…
\(35\)
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ms. singhs class held a coat drive last month. the bar graph shows the …
18
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what is the quadratic regression equation that fits these data? choice …
A. \(y = 2.09x^{2}+0.33x + 3.06\)
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mr. garcia surveyed his class to find out what his students want to be …
\(4\)
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what is the exponential regression equation that fits these data? choic…
C. \( y = 3.02\cdot2.26^{x} \)
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joe did a report about the great lakes region. he made a bar graph to s…
\(3\)
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a company claims that the mean monthly residential electricity consumpt…
At the \(5\%\) significance level, there is enough evidence to support the claim that the mean monthly residential electricity consumption in a certain region is more than \(880\)…
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aaron and his friend jason are designing imaginary dream houses. the ba…
15
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the following list gives the number of siblings for each of 12 students…
\(2\)
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on friday, lauren went on a hike in the woods. she made a bar graph to …
\(11\)
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what is the exponential regression equation that fits these data? choic…
A. \(y = 3.80\cdot2.01^{x}\)
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here are the numbers of children in 9 elementary school classes. 24, 18…
No mode
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1. $0.49div0.7=$ 2. $15enclose{longdiv}{1,230}$ 3. how many faces does …
1. \(0.7\) 2. \(82\) 3. \(4\) 4. \(1\) 5. \(512\) feet per second
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a company claims that the mean monthly residential electricity consumpt…
\(z = 2.02\)
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the following list gives the number of pets for each of 15 students. 2,…
\(1\)
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a company claims that the mean monthly residential electricity consumpt…
B. The critical value is \(1.64\). B. The rejection region is \(z>1.64\).
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a group of 8 students was asked, \how many hours did you watch televisi…
(a) $10.3$ hours (b) $10$ hours
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a company claims that the mean monthly residential electricity consumpt…
(a) E. \(H_0:\mu\leq880\), \(H_a:\mu > 880\) (claim) (b) B. The critical value is \(1.64\)
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a company claims that the mean monthly residential electricity consumpt…
E. \(H_0:\mu\leq880\), \(H_a:\mu > 880\) (claim)
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a politician claims that the mean salary for managers in his state is m…
A. Fail to reject \(H_0\). There is not sufficient evidence to support the claim that managers mean salary is more than the national mean.
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a politician claims that the mean salary for managers in his state is m…
\(0.417\)
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a politician claims that the mean salary for managers in his state is m…
Assuming the sample mean (after actual calculation of the given data) is used in the formula, the value of $z$ (rounded to two decimal places) is the answer. For example, if the c…
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select the text from the paragraph that best helps you understand that …
unevenness
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a politician claims that the mean salary for managers in his state is m…
\(z\approx - 0.29\)
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a politician claims that the mean salary for managers in his state is m…
A. \(H_0:\mu\leq83,000\), \(H_a:\mu > 83,000\)
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by visual inspection, determine the best - fitting regression model for…
# Explicación breve: Observando la gráfica, los puntos siguen una curva que se asemeja a una función exponencial decreciente. Una regresión lineal (ya sea creciente o decreciente)…