In a survey of women in a certain country​ (ages 20−​29), the mean height was 63.8 inches with a standard deviation of 2.89 inches. Answer the following questions about the specified normal distribution. ​(a) What height represents the 95th ​percentile? ​(b) What height represents the first​ quartile?

Q: In a survey of women in a certain country​ (ages20−​29), the mean height was 62.6 inches with a…

A: Given Information:  Mean height = 62.6 inches  Standard Deviation = 2.66

Q: The Welcher Intelligence Test Scale is composed of a number of subtests.  On one subtest, the raw…

A: given data normal distributionμ = 45σ = 7

Q: In a survey of women in a certain country (ages 20 - 29), the mean height was 66.8 inches with a…

A: Given, mean height= 66.8 inches standard deviation=2.72 inches Then the first Quartile (Q1)…

Q: The amount of soda in a 16-ounce can is normally distributed with a mean of 16 ounces and a standard…

A: let, X= The amount of soda in a 16-ounce can Given that X follows a normal distribution with mean=…

Q: Suppose the heights of 10-year-old boys in the US vary according to a normal distribution with a…

A: The objective of this question is to find the percentile of a boy with a height of 140 cm given that…

Q: The number of potholes in any given 1 mile stretch of freeway pavement in Pennsylvania has a…

A: Empirical rule :  According to empirical rule ,  68% of data falls within the first standard…

Q: In a survey of women in a certain country​ (ages 20−​29), the mean height was 66.1 inches with a…

A: Mean(µ) = 66.1Standard deviations (σ) = 2.85  X ~ N (µ, σ )= N(66.1, 2.85)

Q: In a survey of women in a certain country​ (age20−​29), the mean height was 65.4 inches with a…

A: (a) Obtain the height that represents the 95th percentile. The height that represents the 95th…

Q: In a survey of women in a certain country​ (ages20−​29),the mean height was 66.7 inches with a…

A:

Q: In a survey of women in a certain country​ (ages 20-29), the mean height was 64.4 inches with a…

A: The quartile is a term used in statistics that divides the statistical observation into 4 divisions.…

Q: Patients at the outpatient surgical center in Braintree, MA have an average recovery time of 14 days…

A: Given that : Mean = 14 days S. D = 3 days P(z < y) = 62%  Let y be the  raw score.  By using…

Q: In a survey of women in a certain country (ages 20 – 29), the mean height was 65.2 inches with a…

A: GivenMean(μ)=65.2standard deviation(σ)=2.84

Q: The amount of pretzels dispensed into a 24-ounce bag by the dispensing machine has been identified…

A: Given information- Population mean, µ = 24.5 ounces Population standard deviation, σ = 0.2 ounces…

Q: The heights of adult American men can be modeled by a normal distribution with mean μ = 69 inches…

A: The heights of adult American men can be modeled by a normal distribution with mean μ = 69 inches…

Q: In a survey of women in a certain country​ (ages 20−​29),the mean height was 64.3 inches with a…

A:

Q: The number of potholes in any given 1 mile stretch of freeway pavement in Pennsylvania has a bell-…

A:

Q: In a survey of women in a certain country​ (ages 20−​29), the mean height was 64.5 inches with a…

A: Let us denote X= height of women Given that X follows a normal distribution with mean= 64.5 and…

Q: In a certain​ study, women's heights are found to be approximately normally distributed with a mean…

A: Given that, In a certain​ study, women's heights are found to be approximately normally distributed…

Q: The Welcher Adult Intelligence Test Scale is composed of a number of subtests. On one subtest, the…

A: Soluton-: Given: We find the number represents the 55th percentile=?

Q: In a survey of women in a certain country​ (ages 20−​29), the mean height was 66.8 inches with a…

A:

Q: In a survey of women in a certain country​ (ages 20−​29), the mean height was 65.2 inches with a…

A:

Q: In a survey of women in a certain country​ (ages 20−​29), the mean height was 64.1 inches with a…

A: GivenMean(μ)=64.1standard deviation(σ)=2.84

Q: In a drag race, the age of contestants are normallydistributed with a mean of 24 yrs and a standard…

A: X: age of contestantsX~N(μ,σ)where Mean(μ)=24 yrsand standard deviation(σ)=1.5 yrsfind…

Q: The result of the previous licensure examination for teachers shows that the average score of exam…

A: Given: X=Score of exam takers in the general education section Mean μ=97 Standard deviation σ=5.1…

Q: The number of potholes in any given 1 mile stretch of freeway pavement in Pennsylvania has a…

A: Empirical rule: The probability that the observation under the normal curve lies within 1 standard…

Q: In a survey of women in a certain country​ (ages 20−​29), the mean height was 65.4 inches with a…

A: Given that, μ=65.4 inches and σ=2.78 inches (a) The height represents the 95th ​percentile is,…

Q: In a survey of women in a certain country (ages 20- 29), the mean height was 63.4 inches with a…

A: GivenMean = 63.4 inchesStandard deviation = 2.87 inches The Z score for 95th percentile is 1.645

Q: In a survey of women in a certain country (ages 20-29), the mean height was 65.6 inches with a…

A: (b)The first quartile is euql to 25th percentail.The height represents the first quartile is 63.66,…

Q: In a survey of women in a certain country (ages 20 - 29), the mean height was 66.5 inches with a…

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

Q: The price-earnings (PE) ratios of a sample of stocks have a mean value of 10.75 and a standard…

A: Empirical Relationship: The empirical rule states that if a distribution is unimodal and symmetric…

Q: The number of potholes in any given 1 mile stretch of freeway pavement in Pennsylvania has a bell-…

A: Empirical rule :  According to empirical rule ,  68% of data falls within the first standard…

Q: The heights of a pediatrician’s 200 three-year-old females are normally distributed with mean 38.72…

A: We have to find 75th percentile.

Q: survey of women in a certain country​ (ages 20−​29), the mean height was 66.4 inches with a standard…

A:

Q: n a survey of women in a certain country​ (ages 20−​29), the mean height was 62.7 inches with a…

A: Given : Mean (μ) = 62.7 Standard deviation (σ) = 2.75 Let X be a r.v of height

Q: In a survey of women in a certain country​ (ages 20−​29), the mean height was 65.9 inches with a…

A: GivenMean(μ)=65.9standard deviation(σ)=2.66

Q: Suppose that another sample of resting heart rates for five Math students was obtained: 72, 68, 66,…

A: From the given data we want to know the data value .

Q: A large company has many employees and the annual salaries of those employees follow a normal…

A:

Q: The Rudolph has a mean flying speed of 463 mph, with a standard deviation of 76 mph. These…

A: From the given information, mean (μ) =463 mph and standard deviation (σ) =76 mphLet ‘X’ be a normal…

Q: n a survey of women in a certain country (ages 20 - 29), the mean height vas 66.6 inches with a…

A: X~N( μ , ?)μ=66.6     , ?=2.88Z-score =( x - μ )/?

Q: n a survey of women in a certain country​ (ages 20−​29), the mean height was 62.9 inches with a…

A: (a) Obtain the height that represents the 95thpercentile. The height that represents the…

Q: In a survey of women in a certain country​ (ages 20−​29), the mean height was 62.7 inches with a…

A: Mean height of women (μ)= 62.7, Standard deviation of women's height (σ) = 2.66.

Q: In a survey of women in a certain country​ (ages 20−​29), the mean height was 63.7 inches with a…

A:

Q: The number of potholes in any given 1 mile stretch of freeway pavement in Pennsylvania has a…

A: Given information population mean μ=60, standard deviations σ=5  P(45< X< 70)=?

Q: a survey of women in a certain country​ (ages 20−​29), the mean height was 63.5 inches with a…

A:

Q: The number of potholes in any given 1 mile stretch of freeway pavement in Pennsylvania has a…

A: Mean = 48 Standard deviation = 11

Q: The amount of soda in a 16-ounce can is normally distributed with a mean of 16 ounces and a standard…

A: The percentage of these cans will have less than 15.1 ounces is,

Q: The number of potholes in any given 1 mile stretch of freeway pavement in Pennsylvania has a…

A: Obtain the approximate percentage of 1-mile long roadways with potholes numbering between 15 and 59.…

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.