Suppose X is a random variable with  X∼N(80,62) and let μ= the mean of X me= the median of X mo= the mode of X a) Calculate the percentage of the data that is within 1.6 standard deviations of the mean. (2 decimal places) b) The middle 50% of the data will be from ___ to ___ (2 decimal places)  c)Some of the descriptive statistics for the random variable Z=X−80/6 are the mean, μZ=

Q: Show that if  X is a discrete random variable a mean of  mu and a standard deviation sigma, then…

A:

Q: Let u be the average of grades obtained by students on a test. A group x1, x2, students was…

A: Introduction - z-test  z=x-μσwhere ,x=score μ=mean s=standard deviation

Q: variance, and standard deviation

A: From the given sample data : n=9 , ƩX=55  , ƩX2=397 Our aim is to find the sample variance and…

Q: For a Binomial Distribution if n =6 and 9 P(X=4) =P(X=2) find i) Variance

A:

Q: I. Find the value of the following: Xo.10,2 X0.01.4 1.

A: Hello! As you have posted 2 different questions, we are answering the first question. In case you…

Q: To study the variability of in a test with grades from 0 to 5, 17 students were drawn from a school…

A: Maximum=5, minimum=0. Which estimator has variance  minimum, then they have best estimator.

Q: The following sample contains the scores of 6 students selected at random in Mathematics and…

A: Linear regression equation is given by,   Here sample size is n= 6

Q: Q1. The random variable X has an unknown mean but known variance of 8 i.e. X~N (μ, 8). A random…

A: Given  X~N(μ,σ2=16), n=16, x̄=7, sample variance=S2=11

Q: (d) Draw a graph of the probability distribution and comment on its shape

A: here given  n =  6 p = 0.75

Q: Suppose a continuous random variable X pdf constant from 0 to 7.516, where the pdf is zero…

A: Suppose a continuous random variable X pdf constant from 0 to 7.516, where the pdf is zero…

Q: Let x be a random variable that represents blood glucose level after a 12-hour fast. Let y be a…

A: Hello thank you for the question, as you have mentioned question number A,B and C, answering only…

Q: Question 29. Calculate estimates of the standard deviations s, sy of the samples r = (5,9,7) and y =…

A: x y x2 y2 xy 5 -1 25 1 -5 9 2 81 4 18 7 5 49 25 35 ∑x=21 ∑y=6 ∑x2=155 ∑y2=30 ∑xy=48…

Q: Suppose that X is a random variable with mean 30 and standard deviation 4. Y is a random variable…

A: The standard deviation of X is 4 and standard deviation of Y is 8.

Q: Let X1, X2, .., Xn be a random sample of size n from a normally distributed population with mean u…

A: First we will calculate the sample mean and variance Given : Sample size = 16   Therefore mean =…

Q: alan/ Question 2: ven a normally distributed population with a mear f) P(50 sxs 100) 9) P(X > 90) h)…

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

Q: What is the distribution of X? 1) Out of the 38 pizzas that you try, how many would you expect to…

A: Let p be the probability of you liking the pizza. Given that p = 0.08

Q: Q2. The Normally distributed random variable X has an unknown mean and an unknown variance, o? i.e.…

A:

Q: Suppose X is a random variable with mean 10 and variance 16. Suppose Y is a random variable with…

A: We have to find correct answer from given options..

Q: A sample tested the claim that heights of men and heights of women have difference variances, with s…

A: It is given that the heights of men and the heights of women have the different variances with the…

Q: A study of parental empathy for sensitivity cues and baby temperament (higher scores mean more…

A: Solution: Given information: n1= 34 Sample size of mothern2= 40 Sample size of fatherx1= 69.04…

Q: QUESTION 9 An analysis of variance differs from a t test for independent means in that an analysis…

A: We want to tell you which one is the correct choice.

Q: A random sample of 10 subjects have weights with a standard deviation of 12.2153 kg. What is the…

A:

Q: The random variable, x, has a normal distribution. How many standard deviations above the mean must…

A: Given The random variable, x, has a normal distribution.

Q: For items 25 to 26: A farmer has decided to use a new additive to grow his crops. He divided his…

A: Given Information: Plot 1 2 3 4 5 6 7 8 9 10   Before 9 9 8 7 6 8 5 9 10 11 After 10 9 9 8 7…

Q: 1. Two samples drawn from normal distributions with the following sample sizes: ni =15 and n:= 15.…

A:

Q: Assume that z-scores are normally distr If P( – b < z < b) = 0.4488, find b.

A:

Q: . 27.2. From heights (x) in inches, weights (x2) in kg. and ages (x3) in years of a group of…

A: a.a

Q: A random sample of 10 subjects have weights with a standard deviation of 12.2153 kg. What is the…

A:

Q: Assume that the population has a normal distribution. 5) The mean replacement time for a random…

A:

Q: Let x be a random variable that represents the level of glucose in the blood (milligrams per…

A:

Q: Two dice are rolled. [A die has six sides, each representing the score from 1 to 6] What is the…

A: The number of dice rolled is 2.

Q: Two sample T for Men vs Women SE Mean A physical therapist wanted to know whether the mean step…

A: To compare the means of two independent population, two sample t-test is conducted. When the…

Q: If X is random variable with parameter mean = 3 variance 9 find 7... = Find P( x> 0) %3D

A: Given that X is a random variable with mean = 3 and variance = 9, then Z= (X - mean)/SD = (X - 3)/3…

Q: (a)Let ?1 be the population mean of x1 and let ?2 be the population mean of x2. Find a 99%…

A: