1. If the standard deviation of a data set is 4. What is the variance?

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Q: 1) An experiment involving inorganic syntheses of molecular precursors to organometallic ceramics…

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Q: Given the following data set A B C 1 Month Rainfall (mm) Umbrellas sold 2 Jan 82 15 3 Feb 92.5 25 4…

A: The given data is : Month Rainfall Umbrellas sold Jan 82 15 Feb 92.5 25 March 83.2 17…

Q: II. A. Find the t-value corresponding to each level of confidence and degrees of freedom. 1.90%…

A: Ans#-  Find the t-value corresponding to each level of confidence and degree of freedom.          1.…

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Q: 6. Draw the Histogram for the following data class 0-10 10-20 20-30 frequency 10 18 30 30-40 42…

A: The objective is to draw a histogram for the following data: class interval 0-10 10-20 20-30…

Q: The data below is the number of new COVID-19 cases in the Philippines for the first 12 days of…

A: Given data is353,370,661,177,177,261,270,144,144,299,273,477sample size(n)=12

Q: Customers arrive in a certain shop has the mean rate of 13 per hour. a) what is the probability that…

A: Given:  per hour X ~ Poisson ()Using Poisson distribution:

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A: Given data : sample size, n =30 sample mean, x̄ = 16.54 sample standard deviation,s=…

Q: A group of students is charged with dishonesty after taking the final examination. Which situation…

A: Given problem Given that   A group of students is charged with dishonesty after taking the final…

Q: Below are bivariate data giving birthrate and life expectancy information for each of twelve…

A: Correlation coefficient is given by,

Q: Question 10 Evaluate: 10! 3!(10-3)! 10! 3!(10-3)! =

A: The question is about to find value of factorial term

Q: Additional Activities Activity 5. Do It Now! Directions: Read and analyze the given problem. Supply…

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Q: Five basketball player were invited to an experiment. This experiment wanted to know if any…

A: Given Information: Consider the given dataset: Before Beer After Beer 4 8 6 12 6 10 7 13…

Q: Calculate the following probabilities: 1. ARINU P(16<X<32), X-Gamma(3,8) 2. P(3<X<4), X~Lognormal(µ…

A: From the given information we find the probability.

Q: A soft-drink machine is regulated so that it discharges an average of 200 milliliters per cup. If…

A: The average amount of soft drink discharged(μ)=200 The standard deviation of the amount of soft…

Q: An number cube (a fair die) is rolled 3 times. For each roll, we are interested in whether the roll…

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Q: 10. What is the probability of observing less than 3 heads in 4 tosses of a fair coin? A. 0.3125 B.…

A: Given problem Given that     We have to find the probability of observing less than 3 heads in 4…

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=…

Q: Find the characteristic function of a uniformly distributed random variable in the range [0.1] and…

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Q: (a) Find the critical value, t*, for a 99% confidence interval. t* = (b) Find the margin of error…

A: Given: Sample size, n=16 Sample mean, x¯=3.16 Sample sd, s=0.93

Q: A UCLA researcher claims that the average life span of mice can be extended by as much as 8 months…

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

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Q: Due to the pandemic, the average price of pork jumped to Php375 per kilo with a standard deviation…

A: Given : sample size, n =10 sample mean, x̄ =405 population standard deviation,σ=20…

Q: suppose that a famous basketball ball player makes a shot 85 percent of the time. Supposed that he…

A: Given problem is binomial distribution. Then X~Bin(n,p) p.m.f. of binomial distribution is given by…

Q: Given a standard normal distribution, find the value of k such that: 1. P(z>k)= 0.0375 2. P(z>k)=…

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Q: TP ₁ = Pq n N-n N-1

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Q: 3. Let X₁, X2,..., Xn be iid random variables with mean and variance o2. Define the random variable…

A: Considering μ and σ2 are the mean and variance of iid distributed variables X1, X2...Xn, μ and σ2…

Q: The school registrar estimates that the dropout rate of senior high schools in Cavite is 75%. Last…

A: According to our policy we can answer only first three part for remaining please repost the…

Q: (D) Player A throws 3 dice and player B throws 2 dice. The trials ccessively until a 6 shows on at…

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Q: 17. The average household size in a certain region several years ago was 3.14 persons. A sociologist…

A: Given that  Sample size n =75 Sample mean =2.98 Standard deviation =0.82

Q: Vp Pq n N-n 7-1

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Q: The joint distribution function is equal to Fx,y (x, y) = -∞0 ₂√x, y (x,y) dx dy -00

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Q: Which statement accurately describes the proportions in the tails of a normal distribution?   Group…

A: The objective is to find out which option is correct from the given options for the proportions in…

Q: Let X and Y be two random variables with the joint probability density f (x, y) = { 4/3 (1 −xy), 0…

A: Note: In case of multiple subparts, answer to first three subparts would be provided. The joint PDF…

Q: According to timeanddate.com the mean temperature in NCR during the dry season is 29°C with a…

A: Claim: The mean temperature in NCR has changedif the level of significance is 1%.

Q: 20. Nine cards are drawn at random from a set of cards. Each card is marked with the numbers 1, 0 or…

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Q: We want to predict the selling price of a house in Newburg Park, Florida, based on the distance the…

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Q: In 2012, a teacher conducted a survey with 50 randomly selected college professors to know their…

A: Given,population standard deviation(σ)=60,000margin of…

Q: (d) Should this regression model be used to predict breast cancer incidence for a year when HRT use…

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Q: . In order to ensure efficient usage of a server, it is necessary to estimate the mean number of…

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Q: II. A. Find the t-value corresponding to each level of confidence and degrees of freedom. 1.90%…

A: The provided information is    1.α=0.10n=12then,The degrees of freedom is df=n-1=12-1=11The critical…

Q: Suppose that the weight of seedless watermelons is normally distributed with mean 6.9 kg. and…

A: a. Assume a random variable X, that defines the weight of a randomly selected seedless watermelon.

Q: Use the model found above to answer this question. In what year will the estimated revenue of…

A: Regression is used to predict the future variable based on the another variable. It has two types of…

Q: 4. A medical study was interested in comparing lung capacity (in liters) for a random sample of…

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Q: of thirty students IQ scores have a mean score of 112.5. Is there sufficient evidence to support the…

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Q: Scenario: A guidance counselor wanted to know if anxiety differs based on time (first day of class…

A: In such case null hypothesis is,  H0: The interaction is not statistically significant.  And…

Q: if k=1 what about E(x)

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Q: 13. A confidence interval is affected by the confidence level and the sample size. If the confidence…

A: Solution

Q: Find the probability P (0<x<¹) for f(x) = x². cos x ³ 0.235 O 0.304 O 0.908 O 0.413 O 0.678 O 0.112…

A: Solution