In a survey of women in a certain country​ (ages 20−​29), the mean height was 65.4 inches with a standard deviation of 2.78 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: Blood sugars from eight patients in a rural clinic were recorded last summer by the local physician.…

A: Given blood sugar results are120,145,200,250,79,100,894,255sample size(n)=8

Q: A statistics professor gave a final exam to a class of 30 students. The exam scores are normally…

A: Given,mean(μ)=75standard deviation(σ)=10

Q: The number of chocolate chips in an​ 18-ounce bag of chocolate chip cookies is approximately…

A:

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: Mileage tests were conducted on a randomly selected sample of 100 newly developed automobile tires.…

A: According to central limit theorem, for large sample (>30) or if the population follows normal…

Q: In a survey of women in a certain country (ages 20 - 29), the mean height was 62.6 inches with (a)…

A:

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 66.5 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: 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: Consider a sample with a mean of 500 and a standard deviation of 100. What are the z-scores for the…

A: Consider that the sample mean and standard deviation of a random variable x are x̄ and s,…

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: population, it was found that the diastolic blood pressure is normally distributed with a mean 81.5…

A:

Q: The Army reports that the distribution of head circumferences among male soldiers is approximately…

A:

Q: Suppose there is a city where the mean cost per month of a one-bedroor apartment is $1,500, with a…

A: The percentage of one bedroom apartments in the city cost between $750 and $1000 is,

Q: 3. The annual per capita consumption of ice cream (in pounds) in the Philippines can be approximated…

A:

Q: Q)The RATES of a SWEET BOX follows a normal distribution with a mean of $2.20 and a standard…

A: From the provided information,

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!