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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a research center claims that at least 29% of adults in a certain count…
C. The rejection region is \(z < - 1.28\)
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a research center claims that at least 29% of adults in a certain count…
\(-1.28\)
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a research center claims that at least 29% of adults in a certain count…
A. At least \(29\)% of adults in the country think that their taxes will be audited. \(H_0:p\geq0.29\), \(H_a:p < 0.29\)
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using a two - way table to find probabilities at west view high school,…
The expression is \(P(E|Fr)\) and the probability is \(\frac{59}{212}\approx0.278\)
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save the problem, round results to the nearest hundreth. the mean of a …
\(0.81\)
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why is pure competition considered an unsustainable system? price diffe…
D. Producers cannot make a profit if they keep dropping their prices
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finding the probability of an event from a two - way table the two - wa…
\(P(\text{tulip})=\frac{37}{86}\)
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1. choose the best answer. what is meant by the term synergy? group com…
group energy
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at sangers auto garage, three out of every five cars brought in for ser…
\(\frac{12}{35}\)
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at a hospital, 56 percent of the babies born are not girls. of the baby…
5%
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a box contains four red balls and eight black balls. two balls are rand…
\(P(B)=\frac{2}{3}\), \(P(R|B)=\frac{4}{11}\), \(P(B\cap R)=\frac{8}{33}\), The probability that the first ball chosen is black and the second ball chosen is red is about \(24.24\…
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a dentist polls his patients and finds that 83 percent brush their teet…
23%
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the 154 tenth - graders at wilson high school were polled on whether th…
The probability that a randomly chosen tenth - grader is male is \(\frac{40}{77}\). The probability that a randomly chosen tenth - grader is male given that the tenth - grader pre…
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elias writes the numbers 1 through 20 on separate slips of paper. there…
yes, because the probability of choosing an odd number is equal to the probability of choosing an odd number given that the slip is yellow
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at mountain high school, the students were surveyed about their partici…
\(\frac{9}{33}\)
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calculating and applying conditional probabilities what statements are …
The first box (The conditional probability formula is \(P(X|Y)=\frac{P(X\cap Y)}{P(Y)}\)), the third box (Conditional probabilities can be calculated using a Venn diagram), and th…
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decide whether the normal sampling distribution can be used. if it can …
A. \(z=-2.32\)
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decide whether the normal sampling distribution can be used. if it can …
A. The critical values are \(- 2.58,2.58\)
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genesis is standing in a stadium and has the option of running up a sta…
For \( f(29) = 5.8 \), it means if Genesis runs up 29 stairs, she will burn 5.8 calories (makes sense in the context). For \( f(23.5)=4.7 \), it means if Genesis runs up 23.5 stai…
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test a claim that the mean amount of lead in the air in u.s. cities is …
There is not enough evidence at the \(5\%\) level of significance to support the claim that the mean amount of lead in the air in U.S. cities is less than \(0.036\) microgram per …
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test a claim that the mean amount of lead in the air in u.s. cities is …
\(t = 0.32\)
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test a claim that the mean amount of lead in the air in u.s. cities is …
\(-1.67\)
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mr. wills keeps markers in two boxes. each box has 80 markers of differ…
The centers look about the same, but the spreads look very different.
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test a claim that the mean amount of lead in the air in u.s. cities is …
$H_0:\mu\geq0.036$; $H_a:\mu < 0.036$; The claim is the alternative ($H_a$) hypothesis.
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a light bulb manufacturer guarantees that the mean life of a certain ty…
\(-2.05\)
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students in a jewelry - making club store their beads in 2 containers. …
The students can expect that Container B has about \(24\) more yellow beads.
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a light bulb manufacturer guarantees that the mean life of a certain ty…
\(-1.92\)
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a light bulb manufacturer guarantees that the mean life of a certain ty…
\(-1.41\)
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to reduce the bias in the consumer price index, the bureau of labor sta…
D. incorporates substitutions by consumers when prices of specific products rise rapidly.
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a nutritionist claims that the mean tuna consumption by a person is 3.9…
\(0.194\) (rounded to three decimal places)
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lilly stores her craft stickers in two containers. each container has 3…
Lilly can expect that Container A has about \(60\) more green stickers.
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suppose you have 7 physics texts, 9 computer science texts, and 8 math …
Combination Notation: \(_{7}C_{3}\times_{9}C_{3}\times_{8}C_{3}\) Value: \(164640\)
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a nutritionist claims that the mean tuna consumption by a person is 3.9…
\(z=-1.30\)
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lilly stores her craft stickers in two containers. each container has 3…
The centers look about the same, but the spreads look very different.
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a consumer price index of 160 in 2016 with a base year of 1982 - 1984 w…
A. rose 60% from the cost of the market basket in the base year.
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mr. higa places two bins of colored tiles in front of his classroom. ea…
equal to
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a nutritionist claims that the mean tuna consumption by a person is 3.9…
\(z=-1.29\)
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a nutritionist claims that the mean tuna consumption by a person is 3.9…
A. \(H_0:\mu = 3.9\), \(H_a:\mu eq3.9\)
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a random sample of 75 eighth grade students scores on a national mathem…
Fail to reject \(H_0\)
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a random sample of 75 eighth grade students scores on a national mathem…
\(z = 0.67\)
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a random sample of 75 eighth grade students scores on a national mathem…
E. \(H_0:\mu\leq280\), \(H_a:\mu > 280\) (claim)
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test the claim about the population mean, μ, at the given level of sign…
A. Reject \( H_0 \). At the \( 9\% \) significance level, there is enough evidence to support the claim.
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which of the following cause the unemployment rate as measured by the b…
B. discouraged workers
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dan wants to find the average height of students in the 12th grade at w…
(a) meters, centimeters, millimeters. (b) Randomly pick 35 students from the \(12^{th}\) grade and measure their heights.
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test the claim about the population mean, μ, at the given level of sign…
B. The critical values are \(\pm1.70\)
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mr. higa places two bins of colored tiles in front of his classroom. ea…
The centers and the spreads look about the same for both bins.
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test the claim about the population mean, μ, at the given level of sign…
\(4.54\)
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test the claim about the population mean, \\( \\mu \\), at the given le…
F. \(H_0:\mu = 6000\), \(H_a:\mu eq6000\)
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test the claim about the population mean, μ, at the given level of sign…
C. Reject \(H_{0}\). At the \(2\%\) significance level, there is enough evidence to reject the claim.
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test the claim about the population mean, μ, at the given level of sign…
B. The critical values are \(\pm2.33\)
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test the claim about the population mean, μ, at the given level of sign…
\(-3.29\)
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test the claim about the population mean, μ, at the given level of sign…
C. \(H_0:\mu = 50\), \(H_a:\mu eq50\)
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mr. higa places two bins of colored tiles in front of his classroom. ea…
No. The sample size is small and random samples vary. It would be better to look at all the samples instead of just one sample.
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a scientist estimates that the mean nitrogen dioxide level in a city is…
Fail to reject \(H_0\)
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a scientist estimates that the mean nitrogen dioxide level in a city is…
\(z = 0.00\)
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a wholesaler uses the function ( f(x)=8sqrt{x} ) to determine the cost,…
- \(f(0) = 0\), meaning the cost of buying \(0\) gallons of lemonade would be \(\$0\). - \(f(20)=35.78\), meaning the cost of buying \(20\) gallons of lemonade would be \(\$35.78\…
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a scientist estimates that the mean nitrogen dioxide level in a city is…
\(z\approx - 0.52\)
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a scientist estimates that the mean nitrogen dioxide level in a city is…
Rejection region: \(z > 1.23\)
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the dot plots show the number of points scored by two basketball teams …
The Hawks scored 54 or more points in all of their games. The Lions scored 54 or more points in only a few of their games.
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a scientist estimates that the mean nitrogen dioxide level in a city is…
$z_0 = 1.23$
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a scientist estimates that the mean nitrogen dioxide level in a city is…
A. \(H_0:\mu\leq30\), \(H_a:\mu > 30\) (claim)
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a light bulb manufacturer guarantees that the mean life of a certain ty…
A. Reject \(H_0\). There is sufficient evidence to reject the claim that mean bulb life is at least 761 hours.
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here are the two parts of wait times for rides free flyer steel thunder…
The greater the multiple, the **less** the overlap between the data sets and the **more reliable** the inference you can make by comparing the medians.
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a light bulb manufacturer guarantees that the mean life of a certain ty…
\(z\approx - 2.21\)
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5) choose the best answer. the term _____ means that the person is look…
5. inattentional blindness 6. cognitive; decision - making; omissions
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the box plots show a random sample of wait times for two more rides at …
\(3\)
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a light bulb manufacturer guarantees that the mean life of a certain ty…
(a) \(H_{0}:\mu\geq761\) (claim), \(H_{a}:\mu < 761\) (b) \(z_{0}=-2.05\)
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a light bulb manufacturer guarantees that the mean life of a certain ty…
A. \(H_0:\mu\geq761\) (claim), \(H_a:\mu < 761\)
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you can measure the amount of overlap of two data sets by comparing the…
IQR for Free Flyer: \(4\) minutes IQR for Steel Thunder: \(4\) minutes
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a scientist estimates that the mean nitrogen dioxide level in a city is…
Fail to reject \(H_0\)
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a scientist estimates that the mean nitrogen dioxide level in a city is…
\(z\approx2.02\)
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a scientist estimates that the mean nitrogen dioxide level in a city is…
(a) D. \(H_0:\mu\leq26\), \(H_a:\mu > 26\) (claim) (b) \(z_0 = 2.33\), rejection region \(z>2.33\)
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a scientist estimates that the mean nitrogen dioxide level in a city is…
A. \(H_0:\mu = 26\), \(H_a:\mu>26\) (claim) is incorrect because the null hypothesis should be the non - claim in this case. B. \(H_0:\mu\leq26\) (claim) is incorrect as the claim…
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test a claim that the mean amount of lead in the air in u.s. cities is …
Fail to reject \(H_0\) because the standardized test statistic is not in the rejection region.
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test a claim that the mean amount of lead in the air in u.s. cities is …
\(t = 0.11\)
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you are planning to visit a theme park with friends. since you will hav…
For the first part: The typical wait time for Free Flyer is shorter than the typical wait time for Steel Thunder. For the second part: No. There is a lot of overlap in the two dat…
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test a claim that the mean amount of lead in the air in u.s. cities is …
Since the test statistic \(t\approx0.11\) is not less than the critical value \(t_{0}=-2.40\), we fail to reject the null hypothesis \(H_{0}\). So, at the \(\alpha = 0.01\) signif…
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test a claim that the mean amount of lead in the air in u.s. cities is …
\(-2.40\)
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you are planning to visit a theme park with friends. since you will hav…
less than
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test a claim that the mean amount of lead in the air in u.s. cities is …
\(H_{0}:\mu\geq0.037\), \(H_{a}:\mu < 0.037\). The claim is the alternative (\(H_{a}\)) hypothesis.
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facilitate means to: entrap deduce or construe acquire or deserve by on…
make easier
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a car company says that the mean gas mileage for its luxury sedan is at…
The critical value is \(-1.476\)
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a car company says that the mean gas mileage for its luxury sedan is at…
\(-1.63\)
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fatima plans to fly from new york to denver for work. she collects data…
Flight times for Airline B are typically shorter and more consistent than Airline A.
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a car company says that the mean gas mileage for its luxury sedan is at…
For the sampling distribution: C. 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 …
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a car company says that the mean gas mileage for its luxury sedan is at…
C. Use a t - sampling distribution because the population is normal, and $\sigma$ is unknown.
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30 tulips from garden x and a random sample of 30 tulips from garden y.…
Garden \(Y\) typically has tulips with more consistent heights. You can tell because the \(IQR\) of its sample is \(less\ than\) that of the other garden.
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you receive a brochure from a large university. the brochure indicates …
C. Reject \(H_0\) because the P - value is less than the significance level. B. At the 1% level of significance, there is not sufficient evidence to support the claim that the mea…
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zane has two large flower gardens. the box plots show the heights of tu…
Garden X typically has taller tulips. You can tell because the median of its sample is greater than that of the other garden.
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crave creamery is an ice cream shop chain that has locations all across…
(a) \(\mu_{\bar{x}} = 1.50\) (b) \(\sigma_{\bar{x}}\approx0.23\)
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a large airline company called tale winds monitors customer satisfactio…
(a) \(\mu_{\bar{x}} = 4.14\) (b) \(\sigma_{\bar{x}}\approx0.53\)
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zane has two large flower gardens. the box plots show the heights of tu…
The random samples are likely to be representative of the population of tulips in each garden.
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the companies planet jump and just bounce run many trampoline parks aro…
For both companies, about 25% of the parks have 22 or fewer trampolines.
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the companies planet jump and just bounce run many trampoline parks aro…
A typical Just Bounce park has fewer trampolines than a typical Planet Jump park.
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classification of variables and levels of measurement (a) temperature (…
(a) Quantitative, Interval (b) Categorical, Nominal (c) Quantitative, Ratio
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classification of variables and levels of measurement (a) letter grade …
(a) Categorical, Ordinal (b) Categorical, Nominal (c) Quantitative, Ratio
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mariana collects data on players at a high school football camp. she ch…
15
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(a) medal won in a recent race (gold, silver, bronze, or none) (b) univ…
(a) Categorical, Ordinal (b) Categorical, Nominal (c) Quantitative, Ratio
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mariana collects data on players at a high school football camp. she ch…
\(20\)
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jordyn collects data on students in her school district who play in the…
\(240\)