Suppose the heights of women at a college are approximately Normally distributed with a mean of 64 inches and a population standard deviation of 2.5 inches. What height is at the 40th percentile? Include an appropriately labeled sketch of the Normal curve to support your answer. The 40th percentile is inches. (Round to one decimal place as needed.) Choose the correct graph below. O A. О в. Oc. OP. -3 -3 Z-score Z-score Z-score Z-score

Q: The distribution of the lengths of a commercially caught fish is bell-shaped with mean 24 cm and…

A: the PDF of normal distribution is = 1/σ * √2π * e ^ -(x-u)^2/ 2σ^2standard normal distribution is a…

Q: the data set has size 50. Approximately how many observations lie within three standard deviation to…

A: Empirical rule (68-95-99.7 rule): Approximately 68% of data lies within the first standard…

Q: Men's heights have a mean of 165 cm and a standard deviation of 6 cm. The z-score corresponding to…

A: The following information has been provided: μ=165σ=6Z=0.27 We need to compute the raw score X.

Q: Find the 75th percentile of the heights, in inches.

A: Let X denote the heights in a population of adult women. Given that X follows N(mean = 62.5, SD =…

Q: Identify the data value corresponding to the indicated percentile. The amount of sleep an adult gets…

A: Let us define the random variable X as the amount of sleep an adult gets per day is normally…

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 266.9…

A: Given: μ=266.9σ=15.4α=1-0.68=0.32

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: Use the range rule of thumb to estimate the standard deviation. Round results to the nearest tenth.…

A: Range = Maximum - Minimum

Q: A normal distribution of heights of adult women from a certain region has a mean of 68.7 inches and…

A:

Q: The heights of 10 year old American children are normally distributed with a mean height of 4 feet…

A: Given that.   X~N( μ , ?)   μ=52 , ?=4.75   Z-score =( x - μ )/?

Q: A consumer survey indicates that the average household spends μ = $185 on groceries each week. The…

A: From the provided information, Mean (µ) = $185 Standard deviation (σ) = $25 Let X be a random…

Q: The heights of women follow a normal distribution with a mean height of 63.7, and a standard…

A: The independent variable is the height of women. The height of women follows normal distribution.…

Q: Heights for 16-year-old boys are normally distributed with a mean of 68.3 in. and a standard…

A: Given information: μ=68.3, σ=2.9 The P-value for the 96th percentile = 0.96 Determine the z-score…

Q: Hogie lizards have tail lengths that are normally distributed with a mean of 22.5 cm and a standard…

A:

Q: 0.2743 d.)

A: For a random variable, X~N(μ,σ2), the z-score is, Z=X-μσ    .... (1)where, μ=population…

Q: The heights of a 10 year old American children are normally distributed with a mean height of 4 feet…

A: Given, Mean m = 51 Standard deviation sigma = 4.25

Q: A standardized test has a pop. mean of 152 and a standard deviation of 16. Molly scores at the 91st…

A:

Q: A quantitative data set has size 80. At least how many observations lie within two standard…

A: It is given that a quantitative data set size is 80.

Q: Heights of women can be modeled by a normal model with a mean of 63.6 inches and a standard…

A: Mean()=63.6standard deviation()=2.5The Beanstalk Club, a club for tall people, has a requirement…

Q: Assume that adults have IQ scores that are normally distributed with a mean of 95.9  and a standard…

A: Given mean=95.9, standard deviations σ=24

Q: A successful basketball player has a height of 6 feet 5 inch . Based on statistics from a data​ set,…

A: Given: z score = 2.58 The height of players in cm is 195.58 ≈196cm The formula to compute the…

Q: The diameters of bolts produced in a machine shop are normally distributed with a mean of 5.7…

A: GivenMean(μ)=5.7standard deviation(σ)=0.08

Q: __ is a measure of speed and describes the difference between the mean and random variable?   a.…

A: In this case, one needs to fill the suitable answer.

Q: Suppose that you are an elementary school teacher and you are evaluating the reading levels of your…

A: Solution

Q: Plastic waste data lists weights of plastic discarded by households.The highest weight is 5.28lb and…

A: Highest= 5.28 Mean= 1.911 Standard deviation= 1.065 How many standard deviation is the difference=?

Q: In order to be allowed to go on a particular kids ride at the amusement park, children must be at…

A: Let X be the height of 10 year childrens  follow normal distribution   X~N( μ=53 , ?=4.5))…

Q: The weights of the native North American Blue Jay have a mean of 18.4 ounces with a standard…

A:

Q: The monthly income from a particular occupation is normally distributed, with a mean of 3800 dollars…

A:

Q: The mean value of land and buildings per acre from a sample of properties is $11,800, with a…

A: The objective of this question is to find the range of values within which approximately 99.7% of…

Q: A person completes a timed task and is told that their z-score for the task is 1.36. The mean for…

A: Given: Population mean (µ) = 10.75 Population standard deviation (σ) = 2.40 z-score = 1.36

Q: ufacturer of bolts has a quality-control policy that requires it to destroy any bolts that are more…

A: Answer Mean [μ] =15Standard deviation [σ ] =0.10It is more than 4 standard deviations..

Q: Use a normal distribution table or a statistical calculator to answer this question. A farm…

A:

Q: Identify the data value corresponding to the indicated percentile. The amount of sleep an adult gets…

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

Q: A quantitative data set has size 50. At least how many observations lie within three standard…

A: The size of the data set is 50.

Q: Students in the psychology department at General State University consumes an average of 7 sodas per…

A: We have to find correct answer..

Q: The average height of a female over age 20 is 63.6 inches. Assume the distribution of female heights…

A: