A police radar gun is used to measure the speed of cars on a highway. The speeds of cars are normally distributed with a mean of 60 mph and a standard deviation of 10 mph. roughly what proportion of cars are driving between 60 and 70 mph round to the nearest hundredth

Q: Find the mean and standard deviation for the numbers of sleepwalkers in groups of five.

A: Given: X P(x) 0 0.175 1 0.357 2 0.318 3 0.118 4 0.028 5 0.004

Q: in New York State, the mean salary for high school teachers in 2017 was $104,210 with a standard…

A: given X , follow normal distribution with μ=104210σ=9660

Q: The number of miles driven on each of five tires was 17,000, 18,000, 18,000, 21,000, and 22,000.…

A: Given data, 17,000, 18,000, 18,000, 21,000, and 22,000   Sort the data in ascending order. 17,000,…

Q: According to Chebyshev's rule, within 10 standard deviations from the mean, lies at least of any…

A: Given Information: According to Chebyshev's rule, within 10 standard deviations from the mean, lies…

Q: A manufacturer claims that a new snowmaking machine can save money for ski resort owners.  He states…

A:

Q: An elementary school class ran one mile with a mean of 11 minutes and a standard deviation of three…

A: Step1:   The z-score is calculated as, Rachel: (7-11)/3 = -1.33 Kenji: (8.5-10)/2 = -0.75 Nedda:…

Q: An elementary school class ran one mile with a mean of 12 minutes and a standard deviation of three…

A: See the hand written solution

Q: Dougal is filling out college applications that require either a SAT math score or ACT math score.…

A: Given Information: Dougal has an SAT math score of 610 and an ACT math score of 27. Mean SAT math…

Q: The systolic blood pressure of 18-year-old women is a roughly bell-shaped distribution with a mean…

A: We have given that.   X~N( μ , ?^2 )   μ =120 , ? =12   Z-score =( x - μ )/?

Q: After examining a child at his​ 2-year checkup, the​ boy's pediatrician said that the​ z-score for…

A: The z score is given by Z = 1.31

Q: A professor at a local university noted that the exam grades of her students were normally…

A: Here we need to find x such that P(X>x)=0.0793, where X~N(73,11).

Q: The average McDonald's restaurant generates $2.4 million in sales each year with a standard…

A: Given that: Population mean, μ=2.4 Population standard deviation, σ=0.4 Sample size, n = 33…

Q: During I week, an overnight delivery company found that the weights of its parcels were normally…

A: 1. a. The percent of the parcels weighed between 12 oz and 30 oz is obtained below: It is given that…

Q: The annual commissilons per salesperson employed by a retailer of mobile communication devices…

A: Let X be the random variable from normal distribution with mean (μ) = $ 41200 ans standard deviation…

Q: Lions gate produces and distributes about 30 movies per year. On average ,these movies rake in about…

A:

Q: The distribution of passenger vehicle speeds traveling on the Interstate 5 Freeway (I-5) in…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: If a data set has a mean of 80 and a standard deviation of 10, calculate + 1.5 standard deviations

A: Here, the data set has a mean of 80 and a standard deviation of 10.

Q: A recent survey was conducted to compare the cost of solar energy to the cost of gas or electric…

A:

Q: Ashley and Delaney began arguing about who did better on their tests, but they couldn't decide who…

A:

Q: In one town, the number of pounds of sugar consumed per person per year has a mean of 6 pounds and a…

A: In one town, the number of pounds of sugar consumed per person per year has a mean of 6 pounds and a…

Q: In an all boys school, the heights of the student body are normally distributed with a mean of 69…

A:

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

A: Note- Since you have posted a question with multiple sub-parts, we will solve first three sub-parts…

Q: Lucille, Rocio, and Cristina are all taking College Mathematics but from different professors. They…

A: Lucille's class had an average grade of 85 and the standard deviation was 3. Lucille earned 89.5 on…

Q: The number of miles driven on each of five tires was 17,000, 18,000, 18,000, 20,000, and 22,000.…

A:

Q: what is the mean and standard deviation?

A:

Q: A forest ranger researching ecosystem recovery following forest fires collected data on a large…

A: Given that Mean = 3.2 feet Standard deviation = 0.6 feet

Q: The heights of women have a symmetric distribution with a mean of 66 inches and a standard deviation…

A: Given dataMean = 66 inchesStandard deviation =2.5 inchesApplying empirical formula68% of data falls…

Q: Three high school basketball teams measured the heights of all of their basketball players: The…

A: From the provided information, Derby Dragons have a mean height of 72.0 inches that is (µ1) = 72.0…

Q: Mark was asked, "To what extent are you a Math person?" He rated himselfa 6 on a 7-point scale.…

A: Here use z score for  determining the statement correct or not

Q: If the weights of ostriches are normally distributed with a mean of 240 pounds and standard…

A: We have given that,  X be the random variable from normal distribution with mean (μ) = 240 and…

Q: a set of piano prices are normally distributed with a mean of 3000 dollars and a standard deviation…

A:

Q: The reading speed of sixth-grade students is approximately normal, with a mean speed of 125 words…

A: Given: μ= 125 σ = 24 The formula pf z score is, Z=X-μσ The value of z at the 80th percentile, i.e.,…

Q: The number of miles driven on each of five tires was 17,000, 19,000, 19,000, 21,000, and 21,000.…

A:

Q: Eureka is a weather station in the state of California and Seabrook is a weather station in the…

A: Given information: Temperature recorded at Eureka was 240 Celsius. Temperature recorded at Seabrook…

Q: The scores of students on an exam are normally distributed with a mean of 468 and a standard…

A:

Q: Two baseball players, Fredo and Karl, on different teams wanted to find out who had the higher…

A: Given  For ferdo: Batting average=0.158 Team batting average =0.166 Team standard deviation=0.012…

Q: A person in the U.S. eats about 25 pounds of M&M's per year with a standard deviation of 3 pounds.…

A: Solution: Given  μ= 25 Pounds  Population meanσ= 3 Pounds Population standard deviations Assumed…

Q: What is the weight of the newborn elephant at the 33rd percentile? Round to the nearest whole number

A: Given:   birth weights of newborn elephants = X X is Normally distributed mean of X = 160 pounds…

Q: If the mean height of a full-grown Wookie is 83 inches with a standard deviation of 4 inches, what…

A: Mean=83 Standard deviation =4 Z score =? For x=88

Q: The daily water usage per person in Davao City is normally distributed with a mean of 18 gallons and…

A: Mean = 18 Standard deviation = 4

Q: A mountain climber plans to buy some rope to use as a lifeline. Which of the following would be the…

A: Given : Rope A: Mean breaking strength: 500 lb; standard deviation of 100 lbRope B: Mean breaking…

Q: The time is takes a studen to walk from the dorn to the chemistry lab follows roughly a Normal…

A: Mean(µ) = 20 Standard deviations (σ) = 3 X ~ N (µ, σ )= N ( 20, 3)

Q: An elementary school class ran one mile with a mean of 11 minutes and a standard deviation of three…

A: (a) In statistics, the mean is one of the measures of central tendency. It is calculated as the sum…

Q: A man was out shopping buying 100 watermelons. He wanted to buy the largest fruit so he calculated…

A: We have to find out given probability..... As per guideline expert have to find out given first…

Q: Find the standard deviation for this data set. if a one goal hockey game was added to this data set,…

A: From the plot representing the number of goals scored per game, there are three games in which three…

Q: the standard deviation or the interquartile range

A: answer of given question is in step 2

Q: A greenhouse full of tomato plants is being looked after by a farmer. He measures each of the plants…

A: The frequency distribution for heights of tomato plants is given below : For computing the…

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

A: Let X is the gas mileage for a hybrid car. X~Normalμ=57,σ2=3.52

Q: The Fresha Tea Company pack tea in bags marked as 250 g. A large number of packs of tea were weighed…

A: Mean = 255g Standard deviation = 2.5g P(X < A) = P(Z < (A - mean)/standard deviation) P(X <…

Q: A biologist found the wing span of a group of MONARY butterflies to be normally distributed with a…

A:

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.