dult men have heights with a mean of 69.0 inches and a standard deviation of 2.8 inches. Find the z-score of a man 59.2 inches tall

Q: Salaries for teachers in a particular elementary school district are normally distributed with a…

A: The properties of the normal distribution is,   The Normal distribution curve is and bell shaped…

Q: Based on the table, the standard deviation is 0.5 male. What is the variance? Include appropriate…

A: Given The data is as follows: The standard deviation is 0.5 male.

Q: Identify the data value corresponding to the indicated percentile. The heights of women are normally…

A: According to the provided information,

Q: The weight of football players is normally distributed with a mean of 200 pounds and a standard…

A: Given,mean(μ)=200standard deviation(σ)=25

Q: The ages of the winners of a cycling tournament are approximately bell-shaped. The mean age is 27.1…

A: Let us denote X=the ages of the winners of a cycling tournament. Given that X is approximately…

Q: A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of…

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: Statewide, the average score on the verbal test portion of the college exam is 453, with a standard…

A: From the given information, the sample size is 137, sample mean is 502, population mean is 453 and…

Q: The height of trees in a nursery is normally distributed with a mean of 56.4 inches and a standard…

A: The height of trees in a nursery is normally distributed with a mean of 56.4 inches and a standard…

Q: The heights of adult men in America are normally distributed, with a mean of 69.5 inches and a…

A: 69.5 2.62 64.4 2.53 American woman:

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: The lengths of trout in a lake are normally distributed with a mean of 30 inches and a standard…

A: The z-score denotes how many standard deviations an individual raw score is away from the mean The…

Q: A particular fruit's weights are normally distributed, with a mean of 772 grams and a standard…

A:

Q: You measure the height of 10 people and come up with an average of 70 inches and a standard…

A: x=70s=4n=10 The t scores for 68 inches, t=68-xsn=68-70410=-1.581139

Q: The average height for female golden retrievers is 21.96 inches with a standard deviation of 1.77…

A: Given,mean(μ)=21.96standard deviation(σ)=1.77

Q: A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of…

A:

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: A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of…

A: Let X be the length of the steel rods. Then X~N (144.3,0.8) i.e. µ=144.3 and σ=0.8

Q: A researcher collects the distances between survey respondents and the closest grocery store. The…

A:

Q: A set of scores has a mean of 5.8 and a standard deviation of 2.3. Calculate the z scores for the…

A: Given Data: Meanμ=5.8 Standard deviationσ=2.3   To Find: z-score for a) 2.1 b) 5.7 c) 7.3 d) 12.4

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

A:

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: The students in an AFDA class have a mean height of 66 inches and a standard deviation of 7 inches.…

A: Mean(µ) = 66Standard deviations (σ) = 7

Q: The mean gas mileage for a hybrid car is 57 miles per gallon. Suppose that the gasoline mileage is…

A:

Q: A particular fruit's weights are normally distributed, with a mean of 230 grams and a standard…

A: The provided information is:

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

A:

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: A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of…

A: mean=145.2cm S.D=2.2cm

Q: The weights of Ajax salmon are approximately normally distributed with a mean of 34 pounds and a…

A: GivenMean(x¯)=34standard deviation(σ)=8

Q: The heights of women aged 18 to 24 are approximately normal with a mean of 65 inches and a standard…

A: Given that  X~N(μ= 65 , σ= 2.5 ) μ= 65 , σ= 2.5 Formula for Z-score Z=(X-μ)/σ

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: A particular fruit's weights are normally distributed, with a mean of 349 grams and a standard…

A: Let X be the particular fruits weight. The Mean is μ=349. The standard deviation is σ=36.

Q: The mean height of men is 69.0 in., and the standard deviation is 2.5 in. Use the range rule of…

A: Obtain the minimum usual value and the maximum usual value by using the range rule of thumb. The…

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

A:

Q: The average cost of a car rental is $0.32 per mile.  The standard deviation is $0.03.  Using…

A: Range = μ - kσ ,  μ + kσ

Q: The annual per capita consumption of ice cream (in pounds) in the United States can be approximated…

A: We have given that  Mean(µ) = 20.7Standard deviations (σ) = 4.2

Q: The middle 50% of the heights are between what two values? Round to one decimal place.

A: Here Given, Assume that women have heights that are normally distributed with a mean of 63.6 inches…

Q: A particular fruit's weights are normally distributed, with a mean of 620 grams and a standard…

A: Probability distributions are of two types, discrete and continuous distributions. Normal…

Q: Suppose the heights of women at a college are approximately Normally distributed with a mean of 65…

A: The objective of this question is to find the height that corresponds to the 40th percentile in a…

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!