In a job fair, 3000 applicants applied for a job. Their mean age was found to be 28 years and the standard deviation was 4 years. a. Draw a normal curve distribution showing the z-scores and the raw scores.

Q: Of a large group of men 5 per cent are under 60 inches in height and 40 per cent are between 60 and…

A:

Q: In any symmetrical distribution, what percentile would be associated with the mean value? What…

A: For a symmetric distribution, often the mean, median, and mode all occur at the same point.…

Q: ) In a normal distribution, what is the z- score of an observation that is at the 39th percentile?

A: We have to find z score..

Q: Given a uniform distribution with endpoints 4 and 22: What is the mean?        What is the…

A:

Q: In a normal distribution, approximately ___ percent of the distribution falls between three standard…

A:

Q: If the mean is zero and the standard deviation is one in a normal distribution, what type of normal…

A: We know that if the normal distribution has 2 parameters as mean, μ and standard deviation, σ, where…

Q: Given a distribution with a mean of 60 and standard deviation of 21, find a value with a z-score of…

A: Introduction:Consider X as a normally distributed random variable, with mean μ and standard…

Q: Use the normal distribution of IQ​ scores, which has a mean of 105 and a standard deviation of 13​,…

A: GivenMean(μ)=105standard deviation(σ)=13

Q: For the standard normal curve, what percentage of data is located between ¥-2 0 and ¥+20?

A: Note: Thank you for the question. Since notations are not clear to us, we have considered it as μ-2σ…

Q: The mean of a population (μ) is 120 and the standard deviation is 20.  What is the mean of the…

A: From the provided information, Mean (µ) = 120 Standard deviation (σ) = 20

Q: If a distribution is normal with μ = 10 and σ = 5, what is the z score of 20?

A:

Q: Find the mean, mode and standard deviation of the distribution.

A: Given: f(x)=1x2πe-12logx2      for x>0       =0  for  x<0

Q: The mean score for a test is 87 with a standard deviation of 12.  Assuming a normal distribution for…

A: Given,mean(μ)=87standard deviation(σ)=12

Q: Given a normal distribution with a standard deviation of 14, what is the mean if 40% of the values…

A: We know that; X~Normal(μ,σ2) ⇒Z=X-μσ~Normal(0,1) Let X be the random variable with a normal…

Q: The mean and standard deviation of a population are 200 and 20, respectively. Suppose samples of…

A: Given : μ = 200 , σ= 20 and n= 36

Q: A normal distribution has a mean of 62 and a standard deviation of 12. What is the median?

A:

Q: The standard deviation of a sampling distribution is smaller than the standard deviation of the…

A: The comparison of sd of sample to the sd of the population is as follows:

Q: The mean and standard deviation of the sampling distribution of the mean is shown as?

A:

Q: Find the 50th percentile of the standard normal distribution and draw the bell curve?

A: The required answer is below:

Q: A normal distribution has a mean of 60 and a standard deviation of 20. Barbara's score is 40. What…

A: It is given that the Normal distribution has a mean 60 and a standard deviation of 20.  Suppose X be…

Q: For any distribution, what is the z-score corresponding to the mean?​

A: The z-score of a random variable x is defined as follows: z = (x – µ)/σ. Here, µ and σ are the mean…

Q: On a normal distribution, four participants obtained the following deviation scores: –5, 0, +3, and…

A: Consider that the mean and standard deviation of a random variable X are µ and σ, respectively.…

Q: f the mean age of the managers in company is 52 years with a standard deviation of 2.5 years, what…

A:

Q: The test scores for a very large statistics class have a bell-shaped distribution with a mean of 72…

A: We have given that  X~N(mu, sigma^2) mu = 72  Z-score =(x-mu )/sigma

Q: The percent fo Coloradans that own a Subaru is 56%. If you were to take a random sample of size 70,…

A: We have given that,  Let X be the random variable from binomial distribution with probability (p) =…

Q: For a normal distribution where the mean is 50 and the standard deviation is 10, what percentage of…

A: The random variable X follows normal distribution with mean 50 and standard deviation 10. The…

Q: A normal distribution has a mean of 61 and a standard deviation of 15. What is the median?

A: Given, A normal distribution has mean of 61 and standard deviation of 15. Properties of normal…

Q: The average grade for an exam is 74, and the standard deviation is 7. If 12% of the class is given…

A: Let the random variable X denote grade score. Then, X~Nμ, σ2 with μ=74 and σ=7. Let α be the lowest…

Q: For a random sample of 500 students aged 15-17 in the United States, the numbers of hours a week…

A:

Q: For any distribution, what is the z-score corresponding to the mean?

A:

Q: Given a distribution with a mean of 117 and standard deviation of 42, find a value with a z-score of…

A: Consider that X is a random variable and the given distribution follows normal distribution mean 117…

Q: Suppose that the amount of sleep college students get per night has a symmetric, bell shaped…

A: Note: Hey, since there are multiple subparts posted, we will answer first three subparts. If you…

Q: Given a distribution with a mean of 80 and a standard deviation of 10, what is the probability of a…

A: Given that  Mean=80 , Standard deviation=10 Find  P(X<=65)

Q: The height of men in the United states fits with a normal distribution with a mean of 70 inches and…

A:

Q: In a normal distribution, what z-score value separates the highest 90% of the scores from the rest…

A: Z  score : A z-score describes the position of a raw score in terms of its distance from the mean,…

Q: In a normal distribution, what is the percentage of data having a z score less than -1?

A: Obtain the percentage of data having a z score that is less than –1. The percentage of data having a…

Q: Given an approximately normal distribution with a mean of 175 and a standard deviation of 37,…

A: Given info: Here, mean is 175 and standard deviation is 37.

Q: High school students across the nation compete in a financial capability challenge each year by…

A: Given: Students who score in the top 19 percent are recognized publicly for their achievement by the…

Q: In a normal distribution with a mean of 72 and a standard deviation of 12, what percentage of cases…

A: GivenMean(μ)=72standard deviation(σ)=12

Q: Could this curve represent a normal distribution?

A:

Q: In a normal distribution, if the mean is ten and the standard deviation is one, what would the…

A:

Q: In a normal distribution with mean 3 and variance 49, what are the upper and lower limit scores for…

A: Solution: Let X be the random variable. From the given information, the distribution is normal with…

Q: The mean, median, and mode of a normal distribution are (Choose one) each other. standardized by…

A: For Normal distribution, mean, median and mode are coincide.

Q: As the sample size n increases, the standard deviation of the sampling distribution decreases.

A: The standard error (SE) of a statistic is approximately the standard deviation of a statistical…

Q: Suppose that the average height of men in the United States is approximately normally distributed…

A: From the provided information, Mean (µ) = 70 Standard deviation (σ) = 4 X~N (70, 4) Here X be a…

Q: In a normal distribution with a mean of 72 and a standard deviation of 12, what percentage of…

A:

Q: Among third year students at AUM, scores in Probability and Statistics follow a normal distribution…

A: Given: Population mean  = 82 Population standard deviation = 4 Consider X be the random variable…

Q: In a distribution with a mean of 80 and a standard deviation of 8, what percentage of number would…

A: a. The mean is 80, and standard deviation is 8. The percentage of number would be less than 64 or…