Given a random variable X~N(175,40), find a number "a" such that Pr(X < a) = 0.231. (Please round your answer to one decimal place, e.g. 0.6.)

Q: The data below represents the life expectancy for some African and Asian countries. Construct a…

A: Given that: 66,71,44,75,47,56,59,69, 46,64,60,49,71,65,75,54, 51,47,65,72,62,46,55,52,…

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A: A probability distribution of a discrete random variable is a statement how the values of the…

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A: Given that, X~N(μ=51, σ=11) To find the prob. that X is less than or equal to 44.

Q: Consider the monthly salary of all 5 employees of a company: Salary={20,30,22,20,16} Choose any…

A: Given that The monthly salary of all 5 employees of a company. Salary={20,30,22,20,16}

Q: In a Mann-Whitney test, a researcher wants to compare the difference between two independent groups,…

A: Given that: Sample size of group A, n1=50 Sample size of group B, n2=40 Test statistic, U=120

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A: At first I will run the data in "r' as given Year corresponding its Snowfall (in inch)   To answer…

Q: the last two were correct but the first part 14000+100 isnt right

A: Given data :  Library contains  books = 14,000 Every month  books adds = 100

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A: standard deck of 52 cards.  draw cards without replacement but whatever color it is, you add two…

Q: The data below represents the life expectancy for some African and Asian countries. Construct a…

A: Data given…

Q: A company claims that the average customer satisfaction score for their product is 80 out of 100. A…

A: To perform the hypothesis test, we will use the standard formula for a t-score, which is given by:…

Q: Suppose you have a population of 1,000 individuals and you want to take a random sample of 100…

A: We have given that,  Population (N) = 1000 and sample size (n) = 100

Q: and the test. 2. Test the following hypothesis using the t t interested in whether the pulses of…

A: *Answer: There are two types of test used to test the significance difference of population mean.…

Q: Write down a dataset of size n = 10 such that the 5-number summary is: 1,4,10,12,15

A: Given that: Five-number summary: 1, 4, 10, 12, 15

Q: 2. Which of the following lines in standard form is equivalent to y OA. 2x+y=1 OB. x + 2y = 1 Oc.…

A: We have given that y = 2x + 1

Q: determine if there is a significant difference between the average height of two different species…

A: We have given that,  n1 = n2 = 25  s1 = 2 and s2 = 3 x̄1 = 15 and x̄2 = 16 Then,  We will find t-…

Q: To appreciate the differences among the countries, she calculates the z-scores for a firefighter…

A: Given Information: The salary data of the different countries.

Q: a. find the probability that at least 6 of the printers operate correctly upon installation. b. find…

A: Let X be the random variable that the no. of printers used on desktop computers operate correctly at…

Q: The data below represents the life expectancy for some African and Asian countries. Construct a…

A: First arrange data in increasing order :  44,46,46.....75 N=no. of observations  N= 40 First we will…

Q: What is the standard deviation of the following set of numbers: 2, 4, 4, 4, 5, 5, 7, 9?

A: Given set of numbers is 2,4,4,4,5,5,7,9

Q: Four person are chosen at random without replacement from a group of 3 men, 2 women and 4 children,…

A: Given,no.of men=3no.of women=2no.of children=4Total no.of persons=9

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A:

Q: If X = 61, S=17, and n = 25, and assuming that the population is normally distributed, construct a…

A: given data sample size (n) =25sample mean ( x¯ ) = 61sample standard deviation (s) = 1799% ci for…

Q: What is the difference between a point estimate and an interval estimate of a population parameter?

A: A point estimate is a single value estimate of a population parameter, such as the sample mean. An…

Q: Problem 1. b) Let X₁, X2,, X₁8 be a random sample of size 18 from a chi-square distribution with…

A: Given information: A sample size of 18 follows a chi-square distribution with df=1.

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A: Given that  Continuous random variable Z with probability density function (pdf) given by h(z) = 2z,…

Q: What is the probability of getting exactly 3 heads in flipping a fair coin 5 times?

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A: Solution:- From given information

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A: Given that: Mean, M=4 Standard deviation, SD=1.5

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A: The obtained regression output is:   Coefficient Intercept 0.0136 x1 0.7992 x2 0.2280 x3…

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A: It is given that: PA=0.4PB=0.8

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A: An ordinal scale represents a type of nominal data that can be ordered or ranked in an appropriate…

Q: Assume the random variable X is normally distributed with mean μ=50 and standard deviation σ=7.…

A: Given data  normal distribution μ = 50σ = 7P(34&lt;x&lt;59) = ?

Q: Homogeneity occurs when occurs when there is not variability in a sample there is a nonlinear…

A: Introduction: It is required to identify the correct option.

Q: Two researchers conduct separate studies to test Ho: p=0.50 against H₁: p*0.50, each with n=400.…

A: b Given that z=2.10 From the alternative hypothesis, the test is two tailed.

Q: Consider the table below taken from a sample of legislators. What is the probability that a…

A: trade AGT republican democrat Total in favor 10 9 19 against 9 1 10 Total 19 10 29

Q: A discrete random variable X is defined as the number of heads in 4 independent coin flips. What is…

A: Introduction The answer I provided describes the probability calculation for a discrete random…

Q: degrees of freedom rejection point chi-square distribution table p value E E The number of classes…

A: In question :  There are some words and corresponding explaintions are given without order :  We…

Q: The command t.test(x,y) can be used for testing the alternative hypothesis H₁: HA=HB True False

A: t. test(x, y) cam be used for testing alternative hypothesis H1: μ1=μ2  True False

Q: a. Construct a 99% confidence interval estimate for the population mean number of days between the…

A: Answer:- Given data…

Q: If Sample 1 has a variance of 4 and Sample 2 has variance of 32, can we tell which sample had a…

A: Given that  Sample 1 Sample variance(s12)=4 Sample 2 Sample variance (s22)=32 We have to find which…

Q: Question: A certain criminal suspect is known to have a criminal record in 25% of all cases, and a…

A: This problem can be solved using Bayes' theorem. The probability of the suspect actually having a…

Q: What is the value of the test statistic?  b. What is the interval in which the p-value is found…

A: Given that n=1521, X=1247

Q: Please type the solution so I can read it, I don't understand some of the symbols or letters used…

A: We have given that Mean(µ) = 72.6Standard deviations (σ) = 4.78X ~ N (µ, σ )= N(72.6, 4.78)

Q: A paper gives data on x= change in Body Mass Index (BMI, in kilograms/meter) and y= change in a…

A: "Since you have posted a question with multiple sub -parts,we will solve first three sub parts for…

Q: A ride-sharing company has computed its mean fare to be $32.00, with a standard deviation of $4.10.…

A:

Q: The following table shows the number of US cell phone subscribers in millions for years since 1995.…

A: Data is given for subscribers according to year wise :  Year is starting from 1995( mentioned in…

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A: It is given that: The total no. of tickets is 30. The no. of winning tickets is 3. 5 tickets are…

Q: Based on the attached picture, do people getting high pain scores on the U of W scale rate the cold…

A: In the given problem, there are two variables under study in this question-  U of W pain scale rate…

Q: What scale of measurement would be used for the following variables? Reaction Time Class size…

A: Introduction A variable is a quantity that is being measured.

Q: How do we determine the coefficient of determination (R^2) in a simple linear regression model?

A: Given that The coefficient of determination (R2) in a simple linear regression model.