Under what two conditions will a sampling distribution be normally distributed? I

Q: The average hours of sleep per school night for high school students is 7 hours with a standard…

A: Mean=7, standard deviations=0.5  P(7<X<7.5)=?

Q: The mean diameter of 50 subsea electrical connector housings is 128 mm and the standard deviation is…

A:

Q: Forty adults used the Atkins weight loss program. After 12 months, their mean weight loss was found…

A:

Q: An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots…

A: given data normal distributionμ = 139σ = 25.6P(130<x<181) = ?

Q: To test whether the mean time needed to mix a batch of material is the same for machines produced by…

A: Let us assume that different manufacturers are treatments then there are 3 treatments.  we have to…

Q: 8. The mean value of annual imports for a country is normally distributed with mean u=$30 million…

A: 8. The mean is 30 and standard deviation is 16.

Q: Use the range rule of thumb to estimate the standard deviation to the nearest tenth.   ​15, 42,​ 53,…

A: The maximum value is 53 and the minimum value is 7.

Q: The weights of a certain brand of candies are normally distributed with a mean weight of 0.8611 g…

A: given data,normal distribution,μ=0.8611σ=0.0512n=455p(x>0.8536)=?

Q: Assume that adults have IQ scores that are normally distributed with a mean of μ=105 and a standard…

A: given data normal distriutionμ= 105σ = 15P(90<x<120) = ?

Q: At Abraham Lincoln High School an achievement test is used for college placement. Counselors…

A: Given that  Sample size n =15 Sample mean =525 standard deviation =24

Q: A data set includes 103 body temperatures of healthy adult humans having a mean of 98.5°F and a…

A: Solution-: Given: x¯=98.5,n=103,σ=0.61,c=0.99 We want to find  (a) The confidence interval estimate…

Q: The lifetime of an Acme heat pump has an Exponential distribution with a mean of 12 years. Suppose…

A: As per our guidelines we are suppose to answer only three subparts kindlyrepost the remaining…

Q: Deer mice (Peromyscus maniculatus) are small rodents native of North America. Their adult body…

A: Given that  Sample size n =14 Sample mean=91.1 Population standard deviation =8

Q: A magazine collected the ratings for food, decor, service and the cost per person for a sample of…

A: Confidence intervals and prediction intervals are two interval that are frequently used in…

Q: How to calculate the probability that 2 out of the 19 patients won't

A: Given that The probability that a patient does not recover from a certain stomach disease is 9.0%.…

Q: Given the following stem-and-leaf plot/diagram of quiz scores. The median score is 1 | 03 2 | 2224…

A: from the given stem-and -leaf diagram the data is10, 13, 22, 22, 22, 24 , 31, 32, 33, 33 ,33 , 33,…

Q: The diameters of oranges found in the orchard of an orange farm follow a normal distribution with a…

A: From the provided information, Mean (µ) = 120 Standard deviation (σ) = 10 X~N (120, 10) Here X be…

Q: The physical fitness of an athlete is often measured by how much oxygen the athlete takes in (which…

A: Given,mean(μ)=80standard deviation(σ)=9.8

Q: Consider a Uniform Distribution U(10, 110), compute the conditional probability P(x > 37 | x < 72)

A: given data uniform distribution X~U(10,110)P(x&gt;37|x&lt;72) = ?

Q: Two hundred consumers are surveyed about a new brand of snack food, Crunchicles. Their age groups…

A:

Q: he cost of repairing a smart phone that is out of warranty follows a normal distribution with a mean…

A: given data,normal distribution μ=120σ=8 we haveto findout the z score and probabilities for given…

Q: Suppose you roll three dice. What is the probability that the smallest number seen is five? Select…

A: roll a dice  outcomes S:{1,2,3,4,5,6} roll 3 dice  P(smallest number seen is 5) = ?

Q: Records show that students score an average of 850 points on an achievement test. A test prep…

A:

Q: 1. At Abraham Lincoln High School an achievement test is used for college placement. Counselors…

A: 1. It is given that the test scores are normally distributed.

Q: Using a weight of for the most recent observation, for the second most recent observation, and for…

A: Weight for 1st = 1/2 = 0.5 Weight of 2nd = 1/3 = 0.33 Weight of 3rd = 1/6 = 0.167 Weighted moving…

Q: Renal Disease The mean serum-creatinine level measured in 12 patients 24 hours after they received a…

A: Given  Population mean μ=1, standard deviations σ=0.4, n=sample size=12 , sample mean x̄=1.2, level…

Q: To win the Powerball you have to correctly match 5 numbers, selected from 1 to 69 and then correctly…

A: To win the Powerball, it is needed to correctly match 5 numbers from 1 to 69 and it is needed to…

Q: Let x be a continuous random variable that follows a distribution skewed to the left with μ = 86 and…

A: Solution-: Given: μ=86,σ=15,n=69 We want to find  (a) P(x¯&lt;83.9)=? (b) P(x¯&gt;87.9)=?

Q: R2.51 Penguins again In Chapter 8 we learned about the extra- ordinary depth and duration of the…

A: Here , scatter plot is given for  Heart rate and duration of Resid(min) Independent variable(X) =…

Q: Samples of forty-two (42) college students are considered for study and were categorized according…

A: Solution: The samples of 42 college students records are given.

Q: A boat capsized and sank in a lake. Based on an assumption of a mean weight of 149 lb, the boat was…

A: given data  n = 60μ = 180.4σ = 40.2P( overload) = P(x¯&gt;149) = ?

Q: Among

A:

Q: A large bank in South Africa knows that the average credit card debt owed by their card holders is R…

A: GivenMean(μ)=1073standard deviation(σ)=250sample size(n)=43

Q: You want to estimate the percentage of adults who believe that passwords should be replaced with…

A: a. Suppose p is the true proportion of adults who believe that passwords should be replaced with…

Q: You invest $200 000 in a project.  Your returns are as follows: Year        Annual Net Cash…

A:

Q: The probability that a patient does not recover from a certain stomach disease is 9.0%. Suppose 19…

A: In question, Given that the probability that a patient does not recover from a certain stomach…

Q: 4. In a scholarly article from the Journal of Statistics Education, entitled Pig Data and Bayesian…

A: 4. It is given that the author states that the pig landed on its right side 4172 times out of 11,954…

Q: 2. Let A be a matrix whose singular value decomposition is given by [0.4 -0.4 -0.4 -0.4 0.6 [100 0 0…

A: As per our guidelines I can solve only first 3 subparts. Kindly post the remains subparts again and…

Q: Frankenstein has conducted a study to see if children who “can’t say something nice” (group A) get…

A: Given: μA=average children who “can’t say something nice” (group A)μB=average children who “don’t…

Q: A sample of 50 luxury hotels in the Northeast had an average room rate of $325 per night and a…

A: From the provided information, Sample size (n) = 50 Sample mean (x̄) = 325 Sample standard deviation…

Q: A programmer plans to develop a new software system. In planning for the operating system that he…

A: Givenconfidence level=99%Margin of error(E)=5%=0.05

Q: X y a = 1 2 3 4 526 590 683 722 b = 5 770 Use regression to find an exponential equation that best…

A:

Q: Write down the log-likelihood function for the problem and obtain an analytical solution for the…

A: The given function is: f(x)=[2πσ2]-12e-(y-μ)2σ2. The unknown parameters of interest are: μ and σ2.…

Q: Restaurant 1 2 3 4 5 6 7 8 9 10 Student(100s) 2 6 8 8 12 16 20 20 22 26 Sales (Kshs.1000s) 58 105 88…

A: The quarterly sales depend on the number of students. Here number of students is independent…

Q: Before every flight, the pilot must verify that the total weight of the load is less than the…

A: given data normal distributionμ = 179σ = 37.2n = 36over load if x¯&gt;162P(overload) = ?

Q: Under what circumstances is the distribution of sample means definitely a normal distribution?

A: We have to tell conditions : The distribution of sample means definitely a normal distribution.

Q: Assume that adults have IQ scores that are normally distributed with a mean of μ=105 and a standard…

A: given datanormal distributionμ= 105σ = 15P(x&lt;120) = ?

Q: Consider a function f(x) = 0.4 x € (0,1) 0.2 x = (1,4) 0x (0,4). This function gives rise to a…

A: In question, We have given the random variable X having pdf f(x). Then We'll find the following…

Q: If 17 is increased to 21, the increase is what percent of the original number? (This is known as the…

A: Given data if 17 is increased to 21  what is the increase in the percentage

Q: 3. Given the following set of repeated observations (Table 1) calculate: a. The mean value b. The…

A: Given data is 12.113,12.114,12.112,12.112,22.111,12.113,12.111,12.114,12.113,12.110sample size(n)=10