The following figure shows the normal distribution with the proportion of the area under the normal curve contained within one, two, and three standard deviations of the mean. The last proportion on each side, 0.13%, depicts the remaining area under the curve. Specifically, 0.13% of the area under the standard normal distribution is located above z-score values greater than the mean (p) plus three standard deviations (+30). Also, because the normal distribution is symmetrical, 0.13% of the area under the standard normal distribution is located below z-score values less than the mean (u) minus three standard deviations (-30). 0.13% 2.15% 13.59% -30 -20 34.13% -10 0 A score of 302 is 34.13% +10 Use the figure to help you answer the following questions. 13.59% 2.15% +20 +30 The National Assessment of Educational Progress (NAEP) is a nationwide assessment of students' proficiency in nine subjects: mathematics, reading, writing, science, the arts, civics, economics, geography, and US history. The main NAEP assessments are conducted annually on samples of students from grades 4, 8, and 12. 0.13% In 2002, the reading scores for female students had a mean of 269 with a standard deviation of 33. Assume that these scores are normally distributed with the given mean and standard deviation. A score of 170 is below the mean, while a score of 368 is means that the percentage of female students with scores between 170 and 368 is You can infer that 97.72% of the female students have scores above above the mean. This above the mean. As a result, the percentage of female students with scores below 302 is

Q: Assume that the scores of a college entry exam are normally distributed with a mean of 400 and a…

A: Given,mean(μ)=400standard deviation(σ)=60

Q: Find the  z -score for which  85%  of the distribution's area lies to its right.

A: We want to find out Z-score for which   85%  of the distribution's area lies to its right.

Q: The cholesterol levels of young women aged 20 to 34 have an approximate Normal distribution with…

A: Given: μ=185σ=40middle 68% of the choesterol levels would be between ?

Q: Find the z scores that separates the middle 28% of the distribution from the area in the tails of…

A: Step 1:Find the z scores that separate the middle 28% of the distribution from the area in the tails…

Q: What proportion of 10-year old boys is less than 140 cm in height?

A: mean  = 138  standard deviation  = 7  X=  heights of 10-year old boy

Q: Suppose a professor uses a normal distribution to assign grades in her math class. • She assigns an…

A: Given: z score Grade >2.2 A <-2 F 0.9 < z<2 B -1 < z< -0.8 D

Q: The following figure shows the normal distribution with the proportion of the area under the normal…

A: According to the empirical rule, approximately 99.7% of the observations fall within 3 standard…

Q: What percentage of scores in a normal distribution fall at or above a z score of 1.04?

A: given data  normal distribution percentage of scores above Z:1.04 = ?

Q: Use the standand normal distribution table to determine the percent of data between z=−0.51 and…

A: Given that : z=−0.51  and   z=0.73 By using the standard normal distribution we solve this problem.

Q: Suppose a professor uses a normal distribution to assign grades in her math class. • She assigns an…

A:

Q: For a normal distribution, find the z-score location that divides the distribution that separates…

A: From the given information, It has been given that, P (Z<z) = 0.40 Using the inverse probability…

Q: The weekly demand for Baked Lay's potato chips at a certain Subway sandwich shop is a normally…

A: The question is about normal distribution.Given :Population mean weekly demand (  ) = 450Population…

Q: A vertical line drawn through a normal distribution at z = +1.10 separates the distribution into two…

A: The value of Z ~N(0,1) , and is usually represented as, Z=X-μσ Now, using this form, a Z-table is…

Q: for a normal distribution with a population mean of 74 and a standard deviation of 8, what is the…

A: given data normal distributionμ = 74σ = 8to saperate top 60% x = ?

Q: What proportion of a normal distribution is located between the mean and z = 2.00?

A: proportion of a normal distribution is located between the mean and z = 2.00

Q: For the standard normal curve, identify the z-score that corresponds to the 20thpercentile.

A: The z-value corresponding to 80% or an area of 0.80 is 0.8416 as per z-table.

Q: A recent survey found that 61% of all adults over the age of fifty wear glasses for driving. In a…

A: Given that Given distribution is binomial. n=Random sample of 80 adult n=80 p=61% of adults over the…

Q: t is the least percentage of data that falls within 2.5 standard devia

A: This Chebyshev's theorem can be applied to any type of distribution. To use Chebyshev's theorem, it…

Q: Find the z-score boundaries that divide a normal distribution as described in the following. The…

A: Solution: From the given information, 70% area lies in the middle of the normal distribution and 30%…

Q: The following figure shows the normal distribution with the proportion of the area under the normal…

A:

Q: Find the​ z-scores that separate the middle 95​% of the distribution from the area in the tails of…

A: Sketch the normal curve and the approximate ate area between -z and z under the normal curve.

Q: Suppose that the middle 95% of average scores in the NBA per player per game fall between 2.01 and…

A: Given that the middle 95% of average scores in the NBA per player per game fall between 2.01 and…

Q: Sunscreens are products that protect the skin from skin cancer by preventing the sun's ultraviolet…

A: Here is given that, mean is 0.6 and standard deviation is 0.25. We will use z-standard normal…

Q: In a normal distribution, what is the Z-score of servation that is at the 48th percentile?

A:

Q: n a normal distribution, what percent of scores lie between the mean and a z-score of +1.00?.

A: Let, X be a random variable which follows Normal distribution. So,  Mean(μ) = 0 Standard…

Q: A random sample of 160 commercial customers  revealed that 32  had paid their accounts within a…

A: For normality condition we have : (1) n*p  >10 (2) n*(1-p)  >10 where, n: sample size p :…