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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goodness of fit chi - squared hypothesis test ($\\alpha = 0.05$) for th…
Expected Frequencies: 1: $15.5000$ 2: $15.5000$ 3: $15.5000$ 4: $15.5000$ 5: $15.5000$ 6: $15.5000$ $\chi^{2}=2.289$ p - value $=0.808$ The p - value is Greater than $\alpha$ This…
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if n = 470 and $widehat{p}$ (p - hat) = 0.4, construct a 99% confidence…
$0.342 < p < 0.458$
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for a hypothesis test, alpha = 0.05 the computed p - value = 0.044 shou…
Reject H_0 There is sufficient evidence to reject the Null Hypothesis and accept the alternative.
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in a study, the sample is chosen by dividing the population by voting p…
Cluster
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linear regression and correlation. compute the equation of the linear r…
\(y = 3.981x-9.452\) \(r = 0.976\)
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a population of values has a normal distribution with $mu = 65.3$ and $…
$P(X < 62.7)=0.4783$ $P(\bar{X}<62.7)=0.2743$
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for a hypothesis test, alpha = 0.05 the computed p - value = 0.078 shou…
Fail to Reject $H_0$ There is NOT sufficient evidence to reject the Null Hypothesis and accept the alternative.
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is this value from a discrete or continuous data set. the average rainf…
Continuous
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in a study, the sample is chosen by asking our 40 closest friends. what…
Convenience
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a student does a survey to see if the proportions of men and women who …
1. 2 Proportions z - test 2. $H_0: p_1 = p_2$, $H_A: p_1 eq p_2$
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this data represents the responses of 200 community college students. t…
What is the probability that a student has at least one credit card? A. 0.39 What is the probability that a student has at most 4 credit cards? C. 0.97
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in the state of alabama, there are 219 eight year olds diagnosed with a…
With 99% confidence, it can be concluded that the difference in proportion of children diagnosed with ASD between Alabama and Rhode Island $(p_1 - p_2)$ is between - 0.041 and 0.0…
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1. (2 pts) draw a picture of roger chillingworth as you envision him. a…
Hester lies to Pearl about the meaning behind the Scarlet Letter to protect her from the harsh truth and the society's stigma, and to preserve her innocence for a longer time.
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if n = 31, $\bar{x}$(x - bar)=45, and s = 20, construct a confidence in…
$38.9<\mu<51.1$
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for a normal variable $xsim n(mu = 55.6,sigma = 10.8)$, find the probab…
$0.8186$
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you wish to test the following claim ($h_a$) at a significance level of…
test statistic = 3.558 p - value = 0.004 The p - value is less than (or equal to) $\alpha$ This test statistic leads to a decision to reject the null As such, the final conclusion…
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calculate the mean and sample standard deviation of the data shown. rou…
mean: $15.84$ Sample standard deviation: $7.08$
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based on the boxplot above, identify the 5 number summary. (min, q1, me…
11, 14, 14.5, 15.5, 17
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determine whether this table represents a probability distribution. |x|…
No, it is not a probability distribution
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a population of values has an unknown distribution with $mu = 186.3$ an…
$\mu_{\bar{x}} = 186.3$ $\sigma_{\bar{x}}\approx7.93$
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a regression was run to determine if there is a relationship between ho…
76
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which best describes the difference between socialism and communism? th…
The government controls a country's means of production under communism, while it controls a nation's economy under socialism.
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statistics students in oxnard college sampled 9 textbooks in the condor…
$y = 0.11x-5.33$; $17.77$
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true or false: correlation implies causation. that is: can you assume t…
A. False
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what does this sign mean? a no trucks permitted b no entry permitted c …
B. No entry permitted
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the linear regression equation for a data set is y = 3.2x - 1.2. the ac…
$2.4$
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annual high temperatures in a certain location have been tracked for se…
$y = 11.3773+0.3314x$
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a random sample of beef hotdogs was taken and the amount of sodium (in …
The correlation coefficient is $r = 0.80210$, which is a positive correlation. The coefficient of determination is $r^2=0.6434$, so $64.34\%$ of the variability in the amount of s…
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annual high temperatures (celsius) in a certain location have been trac…
For each additional year, the annual high temperature will increase by 0.049 degrees on average.
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chapters 10 - 13 assigned by: shanice maxwell due: oct 15, 2025 11:59 p…
B. delicious
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question 6 a scientist is rolling a die which has six possible outcomes…
Question 6: B. 5 Question 7: B. No
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question 4 if df = 3 at the 99% confidence level, what would be the cri…
B. 11.34 ### Question 5
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you could use the chi - squared test to determine if a quarter is heavi…
- Question 1: B. False - Question 2: B. to test a hypothetical population to an actual population. - Question 3: D. 99%
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question 6 suppose that a major polling organization wanted to test the…
A. The results were statistically significant. C. The null hypothesis should be rejected.
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according to a u.s. news poll, 38% of students in the class of 2013 had…
A. It is not safe to use the z - test for p, since n * p<sub>0</sub> is not large enough.
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a researcher wants to find out if u.s. adults still support the death p…
E. 2
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a quality control engineer at a potato chip company tests the bag - fil…
A. $Z = 1.68$
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question 10 which of the following is the second step in the process of…
C. Choosing a sample and collecting data
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question 9 which of the following is the third step in the process of h…
D. Assessment of evidence
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a researcher wants to find out if there is a significant difference bet…
A. The results are statistically significant.
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a government health official is interested in whether there has been a …
B. Fail to reject $H_0$.
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a tire manufacturer has a 60,000 - mile warranty for tread life. the ma…
B. Fail to reject $H_0$.
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question 5 a graduate student designs a research study. she hopes to sh…
B. A small p - value
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the makers of mini - oats cereal have an automated packaging machine th…
B. The machine is not filling the boxes with the proper amount of cereal. The average is not 24 ounces.
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a sheet metal manufacturer is making 10 - gauge sheet metal, which is s…
C. The equipment is working properly. The average average steel thickness is 3.416 mm.
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great pumpkins: when growing giant pumpkins for competitions, growers n…
The least - squares regression line is \(\hat{y}=960.0437 + 2.6896x\), where the slope is approximately \(2.6896\) and the y - intercept is approximately \(960.0437\)
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for each scenario listed on the left, determine whether the scenario re…
1. a. Independent Samples 2. b. Matched Pairs (Dependent Samples) 3. b. Matched Pairs (Dependent Samples) 4. a. Independent Samples
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fill in the blank 1 point 13 across: piagets second stage of cognitive …
pre - operational stage
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you have... (a) 1 sample (b) involving a proportion (c) is a hypothesis…
#7: Hypothesis Test for One Population Proportion (1 - Prop Z - Test)
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in the state of hawaii, there are 273 eight - year - olds diagnosed wit…
With 99% confidence, it can be concluded that the difference in proportion of children diagnosed with ASD between Hawaii and New York ($p_1 - p_2$) is between - 0.030 and 0.017.
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use the graphing tool at the right to create a scatter plot for the dat…
The data are best modeled by a linear function.
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two samples are taken with the following sample means, standard deviati…
$(-5.6,-2.4)$
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the cholesterol level of patients who had heart attacks was measured tw…
With 90% confidence, it can be said that the true mean difference in cholesterol levels is between -12.24 and 1.30 mg/dL.
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you have... (a) 2 samples (b) independent samples (c) involving proport…
#10: Hypothesis Test (2-Prop Z-Test) & Confidence Interval (2-Prop Z Interval) for Two Population Proportions
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4. reread the passage from page 57: \i gritted my teeth, clenched my fi…
4. B. depleting 5. A. Life's major events often lack explanation.
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fill in the blanks so that the resulting statement is true. data presen…
scatter - plot; regression
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21, 23, 4, 23, 20, 17, 20, 0, 11, 20, 11, 13, 17, 2, 13, 3, 5, 10, 13, …
The frequencies in the table are correct.
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question complete the frequency table for the following set of data. yo…
| Interval | Frequency | |--|--| | 0 - 4 | 6 | | 5 - 9 | 4 | | 10 - 14 | 8 | | 15 - 19 | 5 | | 20 - 24 | 6 |
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the table contains the percentage of women receiving prenatal care for …
With 99% confidence, it can be said that the average percentage of women receiving prenatal care is between \(85.01\) and \(91.77\)
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we wish to estimate what percent of adult residents in a certain county…
$0.718 < p<0.842$
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answer the statistical measures and create a box and whiskers plot for …
Min: 5, Q1: 9, Med: 12.5, Q3: 16, Max: 17
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answer the statistical measures and create a box and whiskers plot for …
Min: \(5\) Q1: \(9\) Med: \(12.5\) Q3: \(16\) Max: \(17\)
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find the median and mean of the data set below: 40, 4, 12, 15, 45, 16 a…
Median = 15.5, Mean = 22
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out of a sample of 500 adults aged 18 to 30, 125 still lived with their…
Lower limit: $0.2180$, Upper limit: $0.2820$
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find the median and mean of the data set below: 47, 23, 14, 34, 12 answ…
Median = 23 Mean = 26
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find the median and mean of the data set below: 31, 28, 24, 5, 29 answe…
Median = 28 Mean = 23.4
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1. which statement best summarizes the friendship between raymond and m…
1. C. a friendship characterized by a deep, meaningful bond 2. C. Societies overvalue personal and professional ambition. 3. C. nervous
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express the confidence interval 20.8% ± 8.5% in the form of an inequali…
$12.3\%<p<29.3\%$
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find the median and mean of the data set below: 0, 48, 27, 5, 9, 16, 21…
Median = $16$ Mean = $18$
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in a survey, 25 people were asked how much they spent on their childs l…
$1.32$
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find the median and mean of the data set below: 44, 8, 30, 40, 36
Median = $36$ Mean = $31.6$
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suppose you compute a 97% confidence interval. what will happen to the …
The confidence interval will narrow.
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one gallon of gas is put into each of 30 test cars. the resulting gas -…
C. (28.1, 28.9)
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question find the mean of 10, 4, 2, 8 graphically. 10 + 4 + 2 + 8 = 24 …
6
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a company that manufactures small canoes has a fixed cost of $18,000. i…
B. the money coming in equals the money going out.
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you wish to test the following claim (hₐ) at a significance level of α …
test statistic: $6.056$ P - value: $0.001$ The P - value is less than (or equal to) $\alpha$ This test statistic leads to a decision to reject the null The final conclusion is tha…
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the p - value for a hypothesis test turns out to be 0.04361. at a 9% le…
Reject $H_0$
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14 multiple choice 1 point mrs. davis has 20 coins in her purse. she ha…
A. 7/20
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a poll found that 82% of american adults believed that there was a cons…
$H_0:p\geq0.82$ $H_A:p < 0.82$ $\hat{p}\approx0.8097$ $z\approx - 0.885$ p - value $\approx0.1884$ Since the p - value is greater than $.10$, fail to reject $H_0$. At the 10% leve…
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according to the cdc, the average weight of men in 1990 was 181 pounds.…
There is not sufficient evidence to warrant rejection of the null hypothesis that the average weight of men is the same.
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for a hypothesis test, alpha = 0.05 the computed p - value = 0.022 shou…
Reject $H_0$ There IS sufficient evidence to reject the Null Hypothesis and accept the alternative.
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according to a report on consumer fraud and identity theft, 23% of all …
Random variable: The proportion of identity - theft complaints in Florida out of all consumer complaints in Florida. Population parameter: The proportion \(p\) of identity - theft…
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according to the centers of disease control, about 21% of american youn…
1. $H_0: p = 21\%$, $H_A: p<21\%$ 2. There is sufficient evidence to support the claim that the students at his local schools have a smaller proportion of obese students.
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you are conducting a study to see if the probability of catching the fl…
A. two tailed
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a recent publication claims that the average person spends 93 minutes p…
a. $H_0:\mu\geq93$; $H_1:\mu < 93$ b. $-2.8250$ c. $0.0069$ d. Reject $H_0$ e. There is sufficient evidence
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state the appropriate null and alternate hypotheses. (h_0: sigma= 2.89)…
$0.950$
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watching tv: the 2012 general social survey asked a large number of peo…
State the appropriate null and alternate hypotheses: $H_0:\sigma = 2.89$, $H_1:\sigma<2.89$ This hypothesis test is a left - tailed test.
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continuous or discrete situation/data set? randomly cut lengths of an e…
Continuous
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determine if the following scenario is a binomial experiment. if it is …
All of the conditions for being a binomial experiment are met, i.e., this is a binomial experiment.
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determine whether the given procedure results in a binomial distributio…
Not binomial; there are more than two outcomes for each trial
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this data represents the responses of 200 community college students. t…
1. A. 0.39 2. C. 0.97
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question find the mean of 7, 10, 9, 2 graphically. 7 + 10 + 9 + 2 = 28 …
7
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find the mean of 8, 10 graphically. 8 + 10 = 18 average = $\frac{18}{2}…
9
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question find the mean of 8, 10 graphically. 8 + 10 = 18 what is the av…
9
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determine whether this table represents a probability distribution. |x|…
No, it is not a probability distribution
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discuss & write: use your function equation to find p(6.75). show your …
We cannot find a numerical value for $P(6.75)$ without knowing the specific form of the function $P(E)$. Conceptually, $P(6.75)$ represents the power (in kWh) when the amount of e…
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find the mean of 9, 8, 1 graphically. 9 + 8 + 1 = 18 average = $\frac{1…
6
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question find the mean of 9, 8, 1 graphically. 9 + 8 + 1 = 18 what is t…
6
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find the mean of 6, 10 graphically. 6 + 10 = 16 average = $\frac{16}{2}…
8
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find the mean of 6, 10 graphically. 6 + 10 = 16 average = $\frac{16}{2}…
8