What is the area of the region on the normal curve between one standard deviation below the mean and three standard deviation above the mean?

Q: What is the probability that an individual's clotting time will be less than 3 seconds or greater…

A: The mean clotting time of blood is 7.45 seconds with a standard deviation of 3.6 seconds.  here X =…

Q: What percentage of z-scores in the standard normal distribution are greater than z = -1.40?

A:

Q: How can we assess differences in quality or performance by simply comparing z values under a…

A: The smaller the z number, the smaller the variance and the closer to the mean the parts are will…

Q: better way to understand Standard normal distribution

A: We have given that.    X~N( 0 ,  1 )    μ = 0    , ? = 1   Z-score =( x - μ )/?

Q: The mass of a particular fiberglass panel is normally distributed with mean of 66 kg and a standard…

A: Mean=66 kg Standard deviation =5 kg

Q: In a normal distribution approximately what percent of data items fall within 1Standard deviation of…

A: Data fall within one standard deviation

Q: The weights of students in a large statistics class vary according to a normal distribution with…

A:

Q: Explain the relationship between chi-square and normal distributions

A: Solution-: The relationship between chi-square and normal distribution

Q: High density lipoprotein in healthy males follow a normal distribution with a mean of 50 and a…

A: Solution : Given : X : High density lipoprotein in healthy males and X has normal distribution with…

Q: How is the standard error of the mean changed when the sample size increases from n=10 to n=20?…

A: here , A fiber used in manufacturing clothes has a tensile strength that is normally distributed…

Q: Suppose weekly rent is normally distributed with a mean of $200 and a standard deviation of $100.…

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: 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 average time to recover from the flu for healthy adults age 18-24 follows a Normal distribution…

A: According to the given information, we have Given that the distribution is normal. Mean = 4.42…

Q: What z-score is equal to z0.05? Draw a normal curve as part of your work.

A: Givenz0.05=

Q: Areas under the normal curve are positive values. True or False

A:

Q: Explain the difference between binomial and normal distribution

A: It is asked to tell the difference between the binomial and normal distribution

Q: otal cholesterol in children aged 10-15 is assumed to follow a normal distribution with a mean of…

A: Z= x-μσ~N(0,1)

Q: Pat's z-score on an exam is -1.23. In a normally distributed population with u of 25 how many…

A: Provided information is ; Pat's  z-score = -1.23 population mean(μ) = 25  we know that ; z-score…

Q: I researched the winning time for the 1/4 mile race in the Fayette County Fair. Let's assume that…

A: Given The winning times are normally distributed for both men and women. Let X be the winning times…

Q: Mean =8, median =10, standard deviation=6 Find the coefficient of skewness (round to two decimals)

A: Answer: From the given data, Mean = 8 median =10 standard  deviation =6

Q: Explain the relationship between percentages for a normally distributed variable and areas under the…

A: The normal distribution: A continuous random variable X is said to follow normal distribution with…

Q: What proportion of a normal distribution is located between the mean and z= -1.56? (a) .9406 (b)…

A: Z score = -1.56

Q: What does a relatively small standard deviation indicate?

A: Here we have to explain What does a relatively small standard deviation indicate?

Q: hat is the IQ score that corresponds to "very smart

A: The z score can be calculated as: z=x-μσ The required z score that is associated with the top 2.5%…

Q: Why is it important that the tails of a normal curve never touch the x-axis?

A: The shape of the normal distribution is bell-shaped (symmetric), that is the family of the normal…

Q: On a dry surface, the braking distances (in feet), from 60 miles per hour to a complete stop, of a…

A: Solution: Let X be the breaking distance of a sedan. From the given information, X follows normal…

Q: Explain why the percentage of all possible observations of a normally distributed variable that lie…

A: The x values delimiting the interval within two standard deviations from the mean are µ–2σ and…

Q: True or false: The standard deviation of the difference between the average height of 20 random men…

A: Generally the standard deviation for single group would be greater than the standard deviation of…

Q: what percent of the area under the curve of the standard normal distribution is between z= -1.33 and…

A: To find the percent of area under the curve of the standard normal distribution between z = -1.33…

Q: On standard normal distribution, what percentage of scores lie within 1.93 standard deviations on…

A:

Q: The Empirical Rule specifies the percentage of standard deviations that frame the normal curve. TRUE…

A: The Empirical Rule is also known as the 68-95-99.7 rule, specifies the percentage of data within…

Q: What is the z-score of x = 9, if it is 0.133 standard deviations to the left of the mean?

A: Given X=9,

Q: What percent of the area under a normal curve is within 2 standard deviations? *

A: Area under two standard deviations of a normal curve is given by

Q: What is the total area under a normal curve?  What are the values of the mean and the standard…

A: For standard normal distribution with mean=0 & standard deviation= 1, the total area under the…

Q: what is the importance of knowing the concepts of a normal curve?

A:

Q: The area under a particular normal curve to the left of 105 is 0.6227. A normally distributed…

A:

Q: he average shoe size for women is size eight with a standard deviation of 0.5 per size. What…

A:

Q: The area under a particular normal curve between 10 and 15 is 0.6874. A normally distributed…

A: The area under the normal curve between 10 and 15 is 0.6874.Therefore the probability is given by: