ssume that a randomly selected subject is given a bone density test. Bone density test scores are normally distributed with a mean of 0 and a standard deviation of 1. Draw a graph and find P7​, the 7th percentile. This is the bone density score separating the bottom 7% from the top 93%.

Q: The average birth weight of elephants is 220 pounds. Assume that the distribution of birth weights…

A: Solution-: Given: μ=220,σ=50 We want to find the birth weight of elephants at the 90th percentile.

Q: Measuring lung function: One of the measurements used to determine the health of a person's lungs is…

A: The hypothesized mean is 2.1.

Q: Suppose that the weights of candy bars vary according to a normal distribution, with mean of 62…

A: The question is about normal dist. Given : The mean weights of candy bars ( μ ) = 62 g The std.…

Q: The mean annual automobile insurance premium is $950, with a standard deviation of $175. The data…

A:

Q: Suppose that the exam scores of a statistics class were normally distributed with a mean of 94 and…

A: Solution: Let X be the exam score of a statistics class. From the given information, X follows…

Q: Find the proportion of Normally distributed observations with a zz-score above 0.84. Give your…

A: Let Z be the random variable from normal distribution with z-score above 0.84 then we will find the…

Q: Assume that weights of men are normally distributed with a mean of 160 pounds and a standard…

A: Given, Weights of men follows normal distribution with mean 160 pounds and standard deviation 25…

Q: Scores on a test have a mean of 86 and a standard deviation of 13. Jerrica has a score of 94.…

A:

Q: According to data for a​ population, 3-year-old boys have a mean height of 38 inches and a standard…

A: given data normal distributionμ = 38 inchesσ = 2 inchesfor x = 42 inchespercentile = ?

Q: The weights of men in their 30s are normally distributed with a mean of 190 pounds and a standard…

A: From the provided information, Population mean (µ) = 190 pounds Population standard deviation (σ) =…

Q: An educational study to be conducted requires a test score in the middle 40% range. If the mean is…

A: Let us assume X=score Given that X follows a normal distribution with mean= 100 and standard…

Q: Use the normal distribution of heights of adult​ women, which has a mean of 168 centimeters and a…

A: Mean(µ) = 168Standard deviations (σ) = 5X ~ N (µ, σ )= N(168,5)

Q: A set of data has a normal distribution with a mean of 100 and a standard deviation of 15. Find the…

A: First we reduce the given normal distribution to the standard normal distribution using the formula…

Q: The final grades in a statistics course are normally distributed with a mean of 70 and a standard…

A: If a random variable x has a distribution with mean µ and standard deviation σ, then the z-score is…

Q: A psychologist finds that the intelligence quotients of a group of patients are normally…

A: According to the provided information,

Q: Students receive an A+ on a 60 point test if they score 55 points or more.  The marks of a large…

A: Given: X~N(μ,σ)μ=50σ=5

Q: The velocity of an object can be modeled by an approximately normal distribution with a mean of 70…

A: Let X be the random variable from normal distribution with mean (μ) = 70 and standard deviation (σ)…

Q: How many minutes did it take him to finish the face?

A: It is given that the distribution of finishing time for men was approximately normal with mean 242…

Q: he average height for a man in California was 177 cm in 2021. If height follows a normal…

A: given data, normal distribution, μ=177σ=10p(180<X<190)=?

Q: The serum cholesterol level in men aged 18 to 74 are normally distributed with a mean of 178.1 and a…

A:

Q: In a standardized exam the mean score is 400 with a standard deviation of 50. Assume the scores…

A: Solution

Q: Last year the revenue for utility companies had a mean of $60 million with a standard deviation of…

A:

Q: cats is about 3 ounces. Assume that the distribution of birth weights is Normal with a standard…

A: Given that.   X~N( μ , ?)   μ=3    , ?=0.3   Z-score =( x - μ )/?

Q: Scores on the verbal Graduate Record Exam (GRE) are normally distributed with a mean of 600 and a…

A: It is given that exam scores are normally distributed with a mean of 600 and a standard deviation of…

Q: he average number of cavities that 30-year-old Americans have had in their lifetimes is 7.0. The…

A: Solution: Given information: n= 16 Sample size  μ=7 Population mean σ= 2.7 Population standard…

Q: The monthly income of trainees at a local mill is normaly distributed with a mean of $3300 and…

A:

Q: A competency test has scores with a mean of 69 and a standard debiation of 4. A histogram of the…

A:

Q: Use the Empirical Rule. The mean speed of a sample of vehicles along a stretch of highway is 65…

A: Given that  X~N( μ = 65 , ? = 5 ) μ = 55 , ? = 5

Q: ter and a standard deviation of 25 milligrams per deciliter. What cholesterol level separates the…

A: mean = 215 standard deviation = 25 What cholesterol level separates the lowest 10​% from the highest…

Q: the Empirical Rule. The mean speed of a sample of vehicles along a stretch of highway is 70 miles…

A:

Q: acher wishes to give A’s to the top 8% of the students and F’s to the bottom 8%. The next 10% will…

A: Given that  A teacher wishes to give  A’s to the top 8%  of the students F’s to the bottom 8% of the…

Q: Use the Empirical Rule. The mean speed of a sample of vehicles along a stretch of highway is 67…

A: Empirical rule is used in statistics and probability.

Q: Let X be the resting heart rate of a physically fit man. Assume that the resting heart rate for fit…

A: Let X be the resting heart rate of a physically fit man. Assume that the resting heart rate for fit…

Q: Assume that the mean height of women in the United States is 64.5 inches, with a standard deviation…

A: GivenMean(μ)=64.5standard deviation(σ)=2.5woman height(x)=63

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.