If the z-value for a given x of a random variable Z is z =1.06, and the distribution of X is normal with a mean of 60 and a standard deviation of 6, to what x-value does this z-value correspond?

Q: A population has a standard deviation of 16. If a sample of size 64 is selected from this…

A:

Q: Suppose that in an examination, the cut-off score for passing is 75 for 200 persons. If the mean of…

A:

Q: If the standard error (σX) of the mean distribution is 10 and the sample size is 25, then what is…

A: Given information Standard error of the mean distribution = 10 Sample size = 25

Q: If a variable is normally distributed with a mean of 30 and a standard deviation of 6, what is the…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

Q: Suppose a population has a mean of 100 and a standard deviation of 15. If repeated samples of size…

A: Given: n = 25 σ=15μ=100 The standard deviation of the sample means can be calculated as: σX=σn

Q: A sample of 25 observations is taken from an infinite population with a mean of 45 and a standard…

A: Concept of sampling distribution of sample mean: Let a particular characteristic of a population is…

Q: 2. Suppose that the mean lifetime of a random sample of 25 batteries produced by a factory is 700…

A: Solution: 2. Let X be the lifetime of a battery. From the given information, X follows normal…

Q: sample of university students has an average GPA of 2.78 with a standard deviation of 0.45. If GPA…

A:

Q: x represents a random variable with mean 144 and standard deviation 36, then the standard deviation…

A:

Q: Suppose a batch of metal shafts produced in a manufacturing company have a standard deviation of…

A: Given information Mean Diameter(µ) = 202 inches Standard deviation(σ) = 1.3 No of samples (n) = 70

Q: If x represents a random variable with mean 110 and standard deviation 14, then the standard…

A: If x represents a random variable with mean 110 and standard deviation 14. μ=110σ=14 sample…

Q: the z- value for a given value x of the random variable X is z= 1.96, and the distribution of X is…

A:

Q: The scores on the 2020 ACT were approximately normal, with a population mean of μ = 22, and a…

A:

Q: If a normal has a mean of 38.0 and a standard deviation of 1.25, what is the value of the random…

A: According our policy we can answer only first part for remaining please repost the question.

Q: Suppose measurement of an item with a metric micro meter A had a mean of 3.25 mm and a standard…

A: It is an important part of statistics. It is widely used.

Q: A random sample of n = 4 scores is obtained from a population with a mean of µ = 80 and a standard…

A: Solution: From the given information, n=4, µ=80, σ=10 and M=90.

Q: Suppose that for the past several decades, daily precipitation in Seattle, Washington has had a mean…

A: Given, The population standard deviation is σ = 11.4 Level of significance is α = 0.05 The…

Q: if X is normally distributed random variable with a mean of 80 and a standard deviation of 12, then…

A: GivenMean(μ)=80standard deviation(σ)=12

Q: If the random variable x is normally distributed with a mean of 88 and a standard deviation of 12,…

A: Given that, Mean = 88 Standard deviation = 12

Q: If a student computes the standard deviation that was due to the analysis error from a homogenous…

A: Given SD from homogenous sample = 0.04 SD from heterogeneous sample = 0.05

Q: For a sample of 40 items from a population for which the standard deviation is σ = 7.4, the sample…

A:

Q: In a normal distribution with mean 375 and standard deviation 48, how large a sample must be taken…

A: It is an important part of statistics. It is widely used.

Q: height in the male population is normally distributed with a mean height of 5–11 (71 in.) and a…

A: Here is given that mean is 71 inches and standard deviation is 4 inches. 6 ft is equal to 72 inches.

Q: If the sample consisted of 80 night students with a GPA of 3.49 and a standard deviation of 0.02,and…

A:

Q: Suppose that, in 1995, the weight of 16-year old males in the United States was normally distributed…

A: Thank you for posting this question ! You have correctly chosen that a z test needs to be performed…

Q: Suppose a waitress keeps track of her tips, as a percentage of the bill, for a random sample of 60…

A:

Q: professor is concerned that the two sections of college algebra that he teaches are not performing…

A: Given : Claim : Two sections of college algebra that he teaches are not performing at the same…

Q: A sample of university students has an average GPA of 2.78 with a standard deviation of 0.45. If GPA…

A: Let X be a continuous random variable of average GPA of university students is normally​ distributed…

Q: A sample of size 45 will be drawn from a population with mean 10 and standard deviation 5. Find the…

A: Central Limit Theorem states that if you have a population with mean μ and standard deviation σ and…

Q: The owner of a fish market has an assistant who has determined that the weights of catfish are…

A:

Q: Suppose  that  the  current measurements  in  a  strip  of  wire  are  assumed  to follow  a  normal…

A: Solution

Q: Suppose that, in 1995, the weight of 16-year old males in the United States was normally distributed…

A: Null and the alternative hypothesis: The type of test is right tailed test The value of z-test…

Q: The population of Senior High School learners in XYZ Integrated School has a mean of 54.5 and a…

A: HERE AS PER GUIDELINES I HAVE CALCULATED FIRST MAIN QUESTION KINDLY REPOST FOR REMAINING HERE mean…

Q: Suppose that chemistry exam scores are normally distributed with a mean of 24 and a standard…

A: Let X denote exam scores. Given that X follows N(mean = 24, SD = 4)

Q: In a population with a mean of μ = 50 and a standard deviation of σ = 10, would a score of X = 58 be…

A: Given in a population with a mean of μ=50, and a standard deviation of σ=10, a score of X=58

Q: The heights of river birch trees are normally distributed with a mean of 92.3 inches and a standard…

A: Given that the heights of a river birch trees are normally distributed with  mean of 92.3 inches and…

Q: Suppose a population has a mean of 90 and a standard deviation of 28. If a random sample of size 49…

A:

Q: Suppose that the distribution for a random variable x is normal with mean 15 and standard deviation…

A: the PDF of normal distribution is = 1/σ * √2π * e ^ -(x-u)^2/ 2σ^2standard normal distribution is a…

Q: In an test attended by 1500 people, a distribution with a grade point average of 58 and a standard…

A: Population Mean = 58 Variance = 6.8 Sample 10 = 250 people Population = 1500 people Standard normal…

Q: The AAA reports that the average time it takes to respond to an emergency call is 25 minutes. Assume…

A:

Q: If the random variable of X is normally distributed with a mean of 50 and a standard deviation of…

A: Given that, Let X is normally distributed random variable with a mean of 50 and a standard deviation…

Q: uppose samples of size 100 are drawn randomly from a population that has a mean of 20 and a standard…

A: Given that, μ=20,σ=5,n=100 The mean and standard deviation of the sampling distribution of sample…

Q: A distribution with u = 55 and o= 6 is being standardized so that the new mean and standard…

A: Introduction: For a random variable, X with mean μ, and standard deviation σ, the z-score is given…

Q: Suppose you have the population 50 and 80 and that their corresponding z-scores are -1 and -2,…

A:

Q: ples of size 100 are drawn randomly from a normal population that has a mean of 20 and a standard…

A: Given: μ=20, σ=5, n=100 The corresponding z-value needed to be computed: The probability of…

Q: An electrical company  claims that the average life of the bulbs it manufactures is 1200 hrs. with…

A:

Q: Suppose the weights of seventh-graders at a certain school vary according to a Normal distribution,…

A: Given information Sample mean x̅ = 98 Population mean µ = 100 Sample size = 35 Standard deviation =…

Q: If the uric acid values in normal adult males are approximately normally distributed with a mean and…

A:

Q: If one normal distribution has a standard deviation of 5, and another has a standard deviation of…

A:

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.