1. Discuss the theoretical framework of simple random sampling. 2.Discuss the theoretical framework of stratified random sampling 3.What are the advantages of a stratified random sample over a simple random sample?

Q: 1. A firm manufactures light bulb whose length of life follows a normal distribution with mean 90…

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Q: Students in a large lecture class want to know who has, on average, more Facebook friends, male or…

A: Answer and solution is uploaded below  Thanks!

Q: a. In order to check for the possible relationship between drinking orange juice and protection…

A: Test of association We will use Chi square test of association for this problem.  Null hypothesis:…

Q: Consider there are N statistically independent random variables X, n=1,2,......N, . The sum of the…

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Q: What is the best way for your hypothesis test to have a high probability of detecting that a…

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Q: Consider a test of Ho: M1 = ₂ versus Ha: M₁ M2 using the sample results ₁ = 82.3, s₁ = 7.54 with n₁…

A: Given x̄1=82.3, sample x̄2=78.6, n1=28, n2=24, s1=7.54, s2=8.16

Q: Class 1034-1093 1094-1153 1154-1213 1214-1273 1274-1333 1334-1393 Frequency Price of Plasma…

A: Data is given here. Data 1260 1355 1156 1297 1054 1225 1375 1244 1281 1138…

Q: hen sketch a graph of the sampling distribution. The per capita consumption of red meat by people in…

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Q: Suppose X and S² are calculated from a random sample X₁,..., Xn drawn from a population with finite…

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Q: Solve the problem. A nutritionist wants to investigate whether her new diet will be effective in…

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Q: Let Z and X be independent random variables where Z~ N(0, 1) and f(x) = = 1…

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Q: (a) P(z ≤ 1), n = 5, p = 0.2 P(z ≤ 1) =

A: It is given that  X be a Binomial random variable with parameter  p = 0.2 and n = 5.   Note:…

Q: The lifetime of a species of housefly ranges uniformly from 18 h to 30 h. a) Construct a graph of…

A: GivenA random variable x~Uniform(18,30)f(x)=1b-a   ; a≤x≤bf(x)=130-18f(x)=112    12≤x≤30

Q: The population mean and standard deviation are given below. Find the indicated probability and…

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Q: x is a normally normally distributed variable with mean µ = 21 and standard deviation o = 4. Find…

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Q: 1 Which of the following conclusions could you draw from the following bee swarm plot of iris petal…

A: Given that: Bee swarm plot of iris petal lengths of three species, Setosa, Versicolor species and…

Q: Find the indicated probability using the standard normal distribution. P(Z 1.98) Click here to view…

A: P( Z<-1.98 or z >1.98)=?

Q: 11 TB MC Qu. 05-48 (Static) Consider a Treasury bill with a... Consider a Treasury bill with a rate…

A: Given that: Following are the risky securities: Security A: E(r) = 0.15; variance = 0.0400 Security…

Q: Given values of x and y, the correlation has a. very strong relationship. b. very strong negative…

A: Given: X Y 3 4 2 5 1 8 4 4 6 2

Q: Fill in the blank. The states that if, under a given assumption, the probability of a particular…

A: According to the rare rule for inferential statistics, if the probability of a certain observed…

Q: The manager of the concession stand at a baseball stadium is trying to predict the number of hot…

A: The following information has been given: x y 20 15 32 30 19 16 23 21 29 25 The…

Q: A state legislator wants to determine whether his voters' performance rating (0-100) has changed…

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Q: Fill in the blank. The states that if, under a given assumption, the probability of a particular…

A: Given data To fill in the blank of the statement The ____states that if under a given assumption the…

Q: What would be your decision?

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Q: Let Z and X be independent random variables where Z~ N(0, 1) and f(x) = ¹e-x/²1(0,00)(x). 1…

A: Given that We have given that  Z follows N(0,1) and X~ Chi square  Define T =Z/√X/k           U=X…

Q: Find the indicated probabilities using the geometric distribution, the Poisson distribution, or the…

A: The mean is 3.

Q: The average selling price of a smartphone purchased by a random sample of 37 customers was $304.…

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Q: The monthly earnings of a group of business students are normally distributed with a standard…

A: Given Standard deviations=532 Margin of error=132 At 93% confidence level the z is 1.81

Q: A mayor running for re-election claims that during his term, average municipal taxes have fallen by…

A: Given Information: Claim: Average municipal taxes have fallen by $150. Sample size n=45 Population…

Q: firm manufactures light bulb whose length of life follows a normal distribution with mean 90 hours…

A: Given data,Mean μ=90sd      σ=2P(86<X<96)=?

Q: A population has a mean μ = 71 and a standard deviation a=18. Find the mean and standard deviation…

A: List of formulae :  Mean of sampling distribution of the sample means :  μx¯ =μ Standard deviation…

Q: Question 6 x is a normally normally distributed variable with mean μ = 21 and standard deviation o =…

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Q: According to a dietary study, high sodium intake may be related to ulcers, stomach cancer and…

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Q: Suppose that X₁, X₂, X, are mutually independent random variables with the respective moment…

A: a) Given that Consider,

Q: Find the mean for the given sample data. Unless otherwise specified, round your answer to one more…

A: Given data set572,529,346,346,557,356,359,592,470,482sample size(n)=10

Q: The state test scores for 12 randomly selected high school seniors are shown on the right. Complete…

A: Given data is1426,1223,980,699,727,833,723,749,541,629,1445,944sample size(n)=12

Q: X 1.3 -1.2 -0.1 0.5 -0.8 Y 1.6 -2.1 -0.2 0.3 -0.6

A: Given: Sample size(n)=5

Q: Aluminum bottles are reported to cool faster and stay cold longer than typical glass bottles. A…

A: The combined value of sample statistic and the margin of error provide the confidence interval. It…

Q: Data on the cost (millions of dollars) and the running time (minutes) for films of a particular…

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Q: a. Determine the sample proportions.   Determine the sample proportion p1.   p1=enter your response…

A: Given Information: First sample: Sample size n1=60 Number of successes x1=11 Second sample: Sample…

Q: he number of successes and the sample size for a simple random sample from a population are given…

A: Given that  Sample size (n) = 100 Number of successes (x) = 1 Null hypothesis H0 : P=0.02…

Q: (b) Compute 95% confidence interval for o. Note: 20.025 = 1.96.

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Q: The population mean and standard deviation are given below. Find the required probability and…

A: GivenMean(μ)=20standard deviation(σ)=1.16sample size(n)=66

Q: Use the Central Limit Theorem to find the mean and standard error of the mean of the sampling…

A: The mean is 222 and the standard deviation is 67.

Q: Determine whether the following graph can represent a variable with a normal distribution. Explain…

A: Given:

Q: Use a t-distribution to find a confidence interval for the difference in means μ = μ₁ - ₂ using the…

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Q: Question 8 Netflix Addiction. A research was conducted to assess the impact of Netflix on students'…

A: The range used to estimate the unknown parameter is known as confidence interval. It has two limits…

Q: Assume the random variable x is normally distributed with mean μ = 85 and standard deviation a=4.…

A: The random variable x is normally distributed.  Mean = μ = 85 Standard deviation = σ = 4

Q: Weights of women in one age group are normally distributed with a population standard deviation of…

A: Since, population sd is known,  using z distribution.

Q: The sample consisted of 45 night students, with a sample mean GPA of 3.45 and a standard deviation…

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