統計と確率
データ分析、確率分布、仮説検定、統計手法。
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9. a sociologist conducts a hypothesis test because she has a theory th…
E. None of the above answer options are correct.
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in the game of roulette, a wheel consists of 38 slots numbered 0, 00, 1…
approximately normal
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8. a company claims that 40% of its customers prefer home delivery, but…
A. The observed sample statistic is consistent with the company’s claim that 40% of its customers prefer home delivery because 0.06 is greater than 0.05.
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7. a fitness expert claims that the proportion of all adults who meet t…
C. When a hypothesis test is conducted, the resulting test statistic should be smaller than 0 because 0.24 is larger than the sample proportion.
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in the game of roulette, a wheel consists of 38 slots numbered 0, 00, 1…
$\mu=-0.05$, $\sigma = 5.76$
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in the game of roulette, a wheel consists of 38 slots numbered 0, 00, 1…
$\mu=-0.05$; $\sigma = 5.76$
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in the game of roulette, a wheel consists of 38 slots numbered 0, 00, 1…
When \(x = 35\), \(P(x)\approx0.0263\); when \(x=-1\), \(P(x)\approx0.9737\)
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question 7 of 25 which type of graph would be best for showing how the …
A. Line graph
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suppose jack and diane are each attempting to use a simulation to descr…
Jack's distribution is expected to have a standard deviation of \(2.89\). Diane's distribution is expected to have a standard deviation of \(0.91\).
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6. a news report claims that 68% of dog owners have driven a car with t…
D. Because the resulting \( P \) - value is smaller than \( 0.05 \), there is evidence against the null hypothesis.
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suppose jack and diane are each attempting to use a simulation to descr…
(a) A. Jack’s distribution is expected to be skewed right, but less skewed than the original distribution. Diane’s distribution is expected to be approximately normal. (b) Jack’s …
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suppose jack and diane are each attempting to use a simulation to descr…
A. Jack's distribution is expected to be skewed right, but less skewed than the original distribution. Diane's distribution is expected to be approximately normal.
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without doing any computation, put the following in order from least to…
\((c)<(a)<(b)\)
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5. a newspaper article reports that the proportion of poisonous snakes …
A. Nothing is wrong.
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without doing any computation, put the following in order from least to…
\(P(280\leq x\leq320)<P(280\leq\bar{x}\leq320,n = 40)<P(280\leq\bar{x}\leq320,n = 50)\)
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the acceptable level for insect filth in a certain food item is 5 insec…
C. This result is not unusual because its probability is large. A. Since this result is not unusual, it is reasonable to conclude that the population mean is higher than 5.
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5. a newspaper article reports that the proportion of poisonous snakes …
A. Nothing is wrong.
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charlee is using her calculator to find the product of two large number…
The product of the two large numbers is \(1.78\times10^{12}\) (or \(1780000000000\) in standard form).
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4. a publication states that 80% of college students own a laptop, but …
E. None of the above statements are correct.
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the acceptable level for insect filth in a certain food item is 5 insec…
\(0.1292\)
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3. a campus newsletter reports that 28% of students typically study in …
B. The significance level
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the acceptable level for insect filth in a certain food item is 5 insec…
\(\sigma_{\bar{x}}\approx0.354\)
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the acceptable level for insect filth in a certain food item is 5 insec…
\(\mu_{\bar{x}} = 5.000\) (rounded to three decimal places)
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the acceptable level for insect filth in a certain food item is 5 insec…
A. The sampling distribution of \(\bar{x}\) is approximately normal because the sample size is large enough.
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the shape of the distribution of the time required to get an oil change…
\(10.5\)
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the shape of the distribution of the time required to get an oil change…
The probability is approximately \(0.0125\)
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the shape of the distribution of the time required to get an oil change…
D. The sample size needs to be greater than or equal to 30.
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2. a claim is made that 12% of adults do not have a driver’s license. a…
C. The alternative hypothesis should be written as \(H_a:p < 0.12\). E. The alternative hypothesis should be written as \(H_a:p < 12\%\) (since \(0.12 = 12\%\)).
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1. university housing officials report that 29% of all college students…
D. the sample result that was obtained from the surveyed students.
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the length of human pregnancies is approximately normal with mean $\\mu…
$0.9750$
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name: unit 3 exam (a) period: 1 date 11/5 directions: answer the follow…
b. Car insurance policy cost tends to decrease as the age of a driver increases. d. The line of best fit indicates that, in general, the cost of a car insurance policy for a 21 - …
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the length of human pregnancies is approximately normal with mean \\( \…
C. If 100 independent random samples of size \(n = 61\) pregnancies were obtained from this population, we would expect \(1\) sample(s) to have a sample mean of 261 days or less.
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activity 1 describe each of the inequalities in words. model the inequa…
1. \(y\) is less than \(6\) 2. \(5\) is less than or equal to \(x\) 3. \(z\) is greater than \(9\) 4. \(m\) is greater than or equal to \(10\) 5. \(17\) is greater than \(n\) # Ac…
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the length of human pregnancies is approximately normal with mean μ = 2…
$0.0073$
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the length of human pregnancies is approximately normal with mean \\( \…
\(0.0268\)
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the length of human pregnancies is approximately normal with mean μ = 2…
The sampling distribution of \(\bar{x}\) is approximately normal with \(\mu_{\bar{x}} = 266\) and \(\sigma_{\bar{x}}\approx2.5955\)
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the length of human pregnancies is approximately normal with mean $\\mu…
A. If 100 pregnant individuals were selected independently from this population, we would expect 38 pregnancies to last less than 261 days.
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passage of the habeas corpus act (1679) meant that people could no long…
held without trial.
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given a normal distribution with μ = 105 and σ = 20, and given you sele…
\(103.75\)
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given a normal distribution with \\( \\mu = 105 \\) and \\( \\sigma = 2…
$0.4522$
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three coins are flipped. the possible results are shown in the tree dia…
\(\frac{3}{8}\)
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1. president john adams and vice president thomas jefferson worked clos…
1. False 2. True 3. False 4. True 5. True
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complete the text with the better conjunctive adverb. the united states…
A. As a result
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given a normal distribution with \\( \\mu = 105 \\) and \\( \\sigma = 2…
$P(91\lt\bar{X}\lt93.5)=0.0081$
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given a normal distribution with \\( \\mu = 105 \\) and \\( \\sigma = 2…
$0.0026$
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the lengths of lumber a machine cuts are normally distributed with a me…
\(0.0025\)
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the lengths of lumber a machine cuts are normally distributed with a me…
\(0.3336\)
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a simple random sample of size n = 42 is obtained from a population wit…
\(0.2578\)
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a simple random sample of size n = 42 is obtained from a population wit…
\(0.9452\)
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a simple random sample of size ( n = 42 ) is obtained from a population…
$P(\bar{x}<68.2)\approx0.9463$
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a simple random sample of size ( n = 42 ) is obtained from a population…
- (a) B. Since the sample size is large enough, the population distribution does not need to be normal. - (b) A. Approximately normal, with \(\mu_{\bar{x}} = 64\) and \(\sigma_{\b…
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what does the underlined word or phrase mean in the following sentence?…
in style
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company x tried selling widgets at various prices to see how much profi…
The quadratic regression equation is \(y=-3.5x^{2}+198.4x - 1258.1\). The profit for a selling price of \(14.75\) dollars is \(907\) dollars.
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what does the underlined word or phrase mean in the following sentence?…
tight
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what does the underlined word or phrase mean in the following sentence?…
sunglasses
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unemployment: concepts, measurement, and costs even in a healthy, growi…
C. It harms individuals, families, and the economy as a whole # Question #13
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a simple random sample of size ( n = 42 ) is obtained from a population…
B. Since the sample size is large enough, the population distribution does not need to be normal.
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a simple random sample of size ( n = 64 ) is obtained from a population…
\(0.6844\)
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a simple random sample of size ( n = 64 ) is obtained from a population…
\(P(\bar{X}\leq78.6)=0.0094\)
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a simple random sample of size ( n = 64 ) is obtained from a population…
\(0.0322\)
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a sample random sample of size ( n = 64 ) is obtained from a population…
\(\mu_{\bar{x}} = 88\) \(\sigma_{\bar{x}} = 4\)
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a simple random sample of size ( n = 64 ) is obtained from a population…
A. The distribution is approximately normal
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the heights of fully grown trees of a specific species are normally dis…
C.
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the heights of fully grown trees of a specific species are normally dis…
The mean of the sampling distribution is \(\mu_{\bar{x}} = 72.5\) The standard error of the sampling distribution is \(\sigma_{\bar{x}}\approx1.68\)
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identifying dependent events which are dependent events? choose two cor…
- picking 4 cards from a deck, one after the other - choosing 2 socks from a drawer, without replacement
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determine whether the statement is true or false. if it is false, rewri…
D. The statement is false. A sampling distribution of a sample mean is approximately normal if either \(n\geq30\) or the population is normal.
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(a) what is the value of \\( \\mu _ { x } \\)? the value of \\( \\mu _ …
90
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complete parts (a) through (d) for the sampling distribution of the sam…
The value of \(\sigma_{\bar{x}}\) is \(30\)
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complete parts (a) through (d) for the sampling distribution of the sam…
\(400\)
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defining independent events which statement is correct regarding indepe…
Two events are independent if the outcome of the first event does not affect the outcome of the second event.
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determine $mu_{overline{x}}$ and $sigma_{overline{x}}$ from the given p…
\(\mu_{\bar{x}} = 75\) and \(\sigma_{\bar{x}}=1\)
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is the statement below true or false? the distribution of the sample me…
True
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what role does data visualization play in data analysis? it helps simpl…
It helps simplify complex data and makes trends easier to understand.
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complete the sentence below the standard deviation of the sampling dist…
standard error, sample mean
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consider a random variable x that is normally distributed. complete par…
\(\frac{20}{\sqrt{19}}\)
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consider a random variable x that is normally distributed. complete par…
a. Normal b. \(35\)
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mr. fiasco surveys the students in his civics class. he compares the nu…
60
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fill in the blanks to correctly complete the sentence below suppose a s…
The sampling distribution of \(\bar{x}\) has mean \(\mu_{\bar{x}}=\mu\) and standard deviation \(\sigma_{\bar{x}}=\frac{\sigma}{\sqrt{n}}\)
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what is the main purpose of data interpretation in adult education ass …
To convert raw data into meaningful insights for decision - making.
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the average birth weight of domestic cats is about 4 ounces. assume tha…
3.74
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the average birth weight of domestic cats is about 4 ounces. assume tha…
\(4.26\)
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question 4 read this passage from the article: a group of students arri…
C. full of energy
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in a recent year, the total scores for a certain standardized test were…
\(0.0150\)
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in a recent year, the total scores for a certain standardized test were…
\(0.3708\)
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in a recent year, the total scores for a certain standardized test were…
\(0.1977\)
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suppose that the lifetimes of light bulbs are approximately normally di…
\(0.0003\)
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suppose that the lifetimes of light bulbs are approximately normally di…
\(0.2066\)
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2. beat 2 eggs until fluffy 3. stir in the yellow cake mix and vanilla …
1. A food and beverage magazine 2. Delicious 3. To tell the reader who would enjoy this recipe
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suppose that the lifetimes of light bulbs are approximately normally di…
\(0.2066\)
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suppose that the lifetimes of light bulbs are approximately normally di…
\(0.0304\)
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suppose that the lifetimes of light bulbs are approximately normally di…
\(0.0304\)
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a study found that the mean amount of time cars spent in drive - throug…
The probability that a car spends more than 3 minutes in the restaurant's drive - through is \(0.0344\), so it would be unusual, since the probability is less than \(0.05\).
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a study found that the mean amount of time cars spent in drive - throug…
\(0.7173\)
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a study found that the mean amount of time cars spent in drive - throug…
0.6472
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a study found that the mean amount of time cars spent in drive-throughs…
\(0.7150\)
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a study found that the mean amount of time cars spent in drive - throug…
\(0.0636\)
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question 10 in your own words, what does community corrections mean, an…
Community corrections is the supervision and rehabilitation of offenders in the community. It is significant for the criminal justice system as it reduces prison overcrowding, low…
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a study found that the mean amount of time cars spent in drive - throug…
\(0.0885\)
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assume the random variable x is normally distributed with mean \\( \\mu…
\(53.08\)
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a normal distribution has mean $\\mu = 505$ and standard deviation $\\s…
\(81.5\)