Youth admissions to correctional services, by age and sex 2019-2020 Age at admission 12 year old 13 year old 14 year old 15 year old 16 year old 17 year old 18 year old & more number 6 62 194 343 492 548 83 a) Explains the relationship or factor (cause and effect, common cause factor, inverse cause and effect relationship, etc.) in detail. b) Creates the normal distribution of data (histogram).

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A: From the information, the claim is that the mean age of all people diagnosis with initial occurrence…

Q: An IQ test is designed so that the mean is 100 and the standard deviation is 17 for the population…

A: given data,μ=100σ=17normal distribution CI=0.90n=?

Q: Dr. Mindfog, is a drug researcher interested in investigating the mind-altering effects of two very…

A: From the above data set we can see that there are two samples and these are completely independent…

Q: (a) Determine and interpret the quartiles. The first quartile is Q₁ = - (Round to four decimal…

A: Sorted data : {-0.14, -0.11, -0.10, -0.08, -0.05, -0.05, -0.04, -0.04, -0.02, -0.02, -0.02, -0.02,…

Q: a) b) c) f(x; 0) = 0, What is the parameter space of 0? Find the maximum likelihood estimator (MLE)…

A: It is given that the probability density function of X is f(x; θ) = { (θ + 1)•xθ,   If 0 < x <…

Q: Question A - A company producing steel nails receives an order for 5000 nails of length 50 mm. Due…

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Q: i) Find the sampling distribution of the statistic W = X₁ + 2X₂ - X3 + X₁ + X5. ii) What is the…

A:

Q: Consider this question stem for this current question A and the next question B. Statistics show…

A: Givenp=0.40n=7

Q: ) Let X₁, X₂,..., X and Y₁, Y₂, ..., Ym be random samples from populations with moment generating 25…

A:

Q: Suppose the goal is to estimate the parameter stated in question 3 using a 99% confidence interval…

A: given data 99% ci for P. E = 0.062point estimate for P (p^) = 0.16n = ?

Q: Name two limitations of this test.

A: Chi Square Test The Chi-square test is a non-parametric type that does not have distribution and is…

Q: a) Let 3, 1, 3, 0, 3, 2, 2, 0, 1, 2 be ten independent observations from a binomial experiment of…

A: X~Bin(n=4,β) Sample size=10

Q: Sketch the region corresponding to the statement P(z>−0.1) Sketch the region corresponding to the…

A: It is needed to find the value of P(z > –0.1).

Q: The data in Figure 2 below has to do with the stocks of three of South Africa's biggest mobile…

A: Solution: From the given information,

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A: It is given that  Sample mean = 31 Sample standard deviation = 5 Sample size = 16 Confidence level =…

Q: Pulse Rate (bpm) 58 48 41 76 87 83 88 55 72 42 43 43 71 37 97 72 43 79 83 99 99 53 54 45 69 76 104…

A: Here we wanted to test the claim that mean is less than 75 bpm. We state hypothesis for the above…

Q: a two-tailed test at the a = 0.1 ppropriate rejection regions. (Round your answers to two decimal…

A: Given a two-tailed test at the alpha = 0.1 Z critical value for two tailed test = ±1.645...........…

Q: Let X₁, X2, X3,..., X₁ denote a random sample of size n from the population distributed with the…

A:

Q: Let X₁, X₂, X3,..., X, be a random sample of size n from population X. Suppose that X-N (0,1) and Y…

A: From the given information, Standard score for X¯ is, z=X¯-μσn=X¯-θ1n. Consider, Here, the…

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A: From the central limit theorem, The theorem can be applied if the sample size is large. That is, the…

Q: K The data show the chest size and weight of several bears. Find the regression equation, letting…

A: From the above data  The independent variable X is Chest size (niches)  The dependent variable Y is…

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Q: i) Find the sampling distribution of the statistic W = X₁ + 2X₂-X₁ + X₁ + X5. ii) What is the value…

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Q: A cognitive psychologist studying motivation wants to determine if type of music has any effect on…

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Q: Let N be the last digit of your student number. Let X and Y be two continuous random variables that…

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Q: a) Let 3,1,3,0,3,2,2,0, 1, 2 be ten independent observations from a binomial experiment of four…

A: X~Bin(n=4, β) Sample size=10

Q: In the country of United States of Heightlandia, the height measurements of ten-year-old children…

A: Given Mean=56.7 Standard deviations=2.2

Q: The owner of a new car conducts a series of six gas mileage tests and obtains the following results,…

A: From the original problem, we have the data set 20.3, 22.7, 21.4, 20.6, 21.4, 20.9

Q: Let X₁, X2, X3, ..., Xn denote a random sample of size n from the population distributed with the…

A:

Q: Suppose that Y₁, Y2, ..., Yn is a random sample from a normal distribution with parameter mean 0 and…

A:

Q: QUESTION 4 a) Let 3, 1,3,0,3,2,2,0, 1, 2 be ten independent observations from a binomial experiment…

A: X~Bin(n=4,β) Sample size=10

Q: I need an APA write up description of the descriptives of this data set of the number of male and…

A: Introduction: It is required to provide an APA format description of the descriptive statistics.

Q: Statistics show that 40% of men renew their car licenses after the deadline date. Assume that this…

A: Givenp=0.40sample size(n)=7Let "x"be the no.of men renew their car licenses after the deadline…

Q: 000 estimate ck food for the d. Explain the theoretical meaning of the confidence coef- ficient,…

A: The sample proportion is p. And ,.      p = X/ N

Q: i) Show that the standard score of the sample mean X, is equal to Y. ii) Show that the mean and…

A: It is given that  X follows N(θ, 1), then E(X) = θ and V(X) = 1, And the moment genarating function…

Q: Which of the following conditions must be met if a sample is to be regarded as a random sample? Each

A: It is given that the statement about to the random sample. Here, need to find out the correct choice…

Q: 7. Consider this question stem for both the current question (7) and question eight (8): A sample of…

A: As per our guidelines we are suppose to answer only one question.   Let X=no.of employees have an…

Q: A group of students estimated the length of one minute without reference to a watch or​ clock, and…

A: First we calculate the mean and standard deviation of the given data to find the test statistic

Q: b) c) What is the parameter space of 8? Find the maximum likelihood estimator (MLE) of 0. What is…

A: It is given that the probability density function of X is f(x; θ) = { (θ + 1)•xθ,   If 0 < x <…

Q: A major company would like to assess the impact of using a professional trainer to conduct a…

A: The given mean for control group is 17.5, and workshop is 22.7, the sample sizes are 8 for each.

Q: a) Suppose that Y₁, Y2, ..., Y₁ is a random sample from a normal distribution with parameter mean 0…

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Q: A 2019 study surveyed Norwegian parents about their children's eating habits and taste…

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Q: R3.1-R3.18. What design? Analyze the design of each research example reported. Is it a sample…

A: Given Information: Consider the given study.

Q: i) Show that the standard score of the sample mean X, is equal to Y. ii) Show that the mean and…

A: It is given that  X follows N(θ, 1), then E(X) = θ and V(X) = 1  And the moment genarating function…

Q: According to a poll, 690 out of 1030 randomly selected adults living in a certain country felt the…

A: We have given that x = 690 n = 1030 p̂ = x/n = 690/1030 = 0.67Confidence level (c) = 95% = 0.95

Q: 5. Assume that in a sample 450 term papers 47% of term papers were longer than two pages. Provide a…

A: Givensample size(n)=450sample proportion(p^)=0.47confidence level=98%

Q: survey by the National Retail Federation found that women spend on average R146.21 on a Saturday…

A: given data  normal distribution  μ = 146.21σ = 29.44P(x<160) = ?

Q: Park officials make predictions of times to the next eruption of a particular​ geyser, and collect…

A: we have to identify null and alternative hypothesis, test statistic, p value and conclusion of test.…

Q: b) Let X₁, X2, ..., X and Y₁, Y2, ..., Ym be random samples from populations with moment generating…

A: Find the d (1) Distribution of W  (2) n  (3) m

Q: elligence change across the lifespan? A researcher conducts a longitudinal study by collecting data…

A: Age is the independent variable -x, that takes the values 4,14,24 and 34 soon Emotional Intelligence…