30 students were given a two-hour exam and their scores were determined. After the exam, the students were subjected to a 30-minute physical exercise and then took another two-hour exam. 1. Identify the variables and their data types. Indicate whether independent or dependent. 2. Identify the t-test to be used.

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A: 11) The objective is to find 30th percentile of the total examinees. Arrange the data in ascending…

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A: Given information- Population mean, µ = 35.4 hours Population standard deviation, σ = 90 minutes =…

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A:

Q: The joint pdf of a bivariate random variable (X,Y) is given by ke-(ax-by) x>0, y>0 fxy(x,y) = 0…

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Q: . The best point estimator for the average weight of current PBA players is __ kilograms 2. At 98%…

A: The provided information is 1. The point estimate is 88.1667   Σx=2645Σx2=239183n=30The mean…

Q: Mercury is a persistent and dispersive environmental contaminant found in many ecosystems around the…

A: (a) The sample mean is, x=∑xn  =18.5915  =1.2393 The sample mean is 1.2393.

Q: 3. A researcher was interested in the effects of a drug on depression. Subjects were randomly…

A:

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A: Given Data : For Sample 1 x̄1 = 6.7 n1= 30 s1= 0.6 For Sample 2 x̄2= 7.5…

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A: It is given that:

Q: Q3: Prove that Σ(y₁ - y) = 0 AND Σfi(y₁ - y) = 0

A: The question is about proving given equation. To prove : ∑ ( yi - y¯ ) = 0∑ fi ( yi - y¯ ) = 0

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Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 9.6…

A: Let X denote the  items lifespan and it follows normal distribution with a mean of μ=9.6 years, and…

Q: p= P 9 C N-n N-1

A:

Q: 2. In a quality control study in a knitting mill, a manager examines 10 randomly chosen sweaters a…

A: Range= Maximum observation-minimum observation Here maximum is 10 and minimum is 0. So Range= 10-0=…

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A: Given,Population standard deviation(σ)=20sample mean(x¯)=405sample size(n)=10population…

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A:

Q: III. Directions: Solve the following problems. Show your complete solution. Round off your answer…

A: Formula : CI=x̄ ± ME

Q: B. Consider the random variable T. Find the following probabilities. 4. P (-t.1< T <t.01) 5. P…

A: We use student t distribution table to find the required solution.

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A: here given,   formulae: product moment correlation coefficient r=SxySxxSyy Sxy=∑(xi-x )(yi-y )…

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A:

Q: Consider the following summative scores students: 12 12 14 11 9 8 9 10 15 15 10 7 11 15 12 13 10 ∞∞…

A: Given information: No. of observations=30Variable uner study=Summative score of students

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A: Solution-: Given: μ=350,σ=50 We want to find, (i) P(more newspapers are sold on Wednesday than on…

Q: X~ Bin (₂0) 9. @0, 1 other MSP Posterior probablit 17 (0) Y/N Ⓒ = [0, 1]

A:

Q: (a) (Xn+r)nzo for fixed r≥ 0,

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A: The data is given as below Grades No of students 91-95 5 86-90 11 81-85 17 76-80 10…

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A:

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A: The question is about categorical data analysis using chi square test Given :

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A:

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A: Given n=20

Q: minor mode 54444,3,3,3,2,2,2,2, 11 40 8 number 11 is 2 and 4 A sample of scores has a mean of M =…

A: Given : Mean = 20 Median = 28 Mode = 29

Q: SOLVE THE FOLLOWING PROBLEM FOR CENTRAL TENDENCY AND MATH SCORES F X FX <CF 59 - 74 111 75 - 90 143…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

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A: Given that  Explain sampling distributions and how does it affect the parameters and random…

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A: Here's, the median is larger than the arithmetic mean.

Q: EXI let X~ Bin (wa) & € [0,1] J(Q)= 90-3 Q=Q1, Q2 охи Q=Q3 find posterior distribution

A:

Q: 2. Below are the distances travelled (km) by a sample of workers of a call center on their way to…

A: Given the data 5.0  30.3  14.7  19.2  6.2  9.0  19.6  22.9  41.6  11.4  17.3  31.1  9.6  12.8  12.2…

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A: Solution-: A sample of 10 students is obtained. The students are weighed and ranked according to…

Q: Exercise 5.7 You are given the following information for insurance functions at i = 6% per year…

A: Given  i=6% E5020=0.26959 A5012=0.18048 A7012=0.41758

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Q: Your probability professor wants to replace the value 4 in the probability distribution in (a) to…

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Q: p = Р9 N-n N-1

A: