Suppose that heights of women in Utah are normally distributed with a mean of 74 inches and a standard deviation of 3.4 inches.  Find the probability that a randomly chosen woman is between 62 and 68 inches tall.  Find the probability that a randomly chosen woman is taller than 80 inches tall.  Find the 95th percentile.  inches

Q: The average GPA at the University of North Carolina is 3.2, with a standard deviation of 0.3. Assume…

A: Given that.   X~N( μ , ?^2 )   μ=3.2     , ?=0.3   Z-score =( x - μ )/?

Q: The starting salary for a computer programmer major has a mean of $39,269 and a standard deviation…

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: The operation manager at a tire manufacturing company believes the mean mileage of a tire is

A:

Q: Runners in a race have a mean finishing time of 91 minutes and a standard deviation of 16 minutes.…

A:

Q: 00 freshmen at Arundel University took part in a math comprehension test. The scores were normally…

A: The middle (center) of the normal curve represents the mean of the curve. The normal curve is the…

Q: a)the lowest passing grade of the lowest 10% of the students are given F's. b)the highest B if the…

A: Here If a set of grades on a statistics examination are approximately normally distributed with a…

Q: The Economic Policy Institute periodically issues reports on wages of entry level workers. The…

A: As per our guidelines, we are allowed to answer first three sub-parts only. Thanks   a) What is the…

Q: A report announced that the median sales price of new houses sold one year was $211,000​, and the…

A: Sample mean will also follow normal distribution with parameters,

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

A:

Q: The lengths of human pregnancies are normally distributed with a mean of 268 days and a standard…

A: Z=x-μσ~N(0,1) μ=268, σ=15

Q: Find the probability that a sample of 18 has a sample mean below 32. The population mean is 24 and…

A: Central Limit Theorem for mean: If a random sample of size n is taken from a population having mean…

Q: give the sample standard deviation of this data set: 20, 25, 35, 40

A: Sample Standard deviation:   If the standard deviation is calculated for sample then it is called as…

Q: The monthly utility bills in a city are normally​ distributed, with a mean of ​$100 and a standard…

A: Let X be the random variable from normal distribution with mean (μ) = 100 and standard deviation (σ)…

Q: The men rent for a one bedroom apartment without a doorman in Manhattan is $2699. Assume the…

A: As per our guidelines we suppose to answer three sub parts.

Q: A banks loan officer rates application for credit. The ratings are normally distributed with a mean…

A:

Q: The lifespan of a laptop battery is normally distributed. If the mean lifespan of a battery is 4…

A:

Q: Find the standard deviation, σ, for the binomial distribution which has n = 48 and p = 3/5. Round…

A: Given: n = 48 p=35

Q: A recent CNN News survey reported that 76% of adults think the U.S. pennies should still be made.…

A: (a)   Determine the expected value.   The expected value is obtained below as follows:   Let X…

Q: A machine produces electrical components. 99.7% of the components have lengths between 1.176 cm and…

A: Given 99.7% components length lies between 1.176 and 1.224 m Using empericals rule we know that…

Q: A study of the amount of time it takes a mechanic to rebuild the transmission for a 2005 Chevrolet…

A: Given,mean(μ)=8.4standard deviation(σ)=1.8sample size(n)=40

Q: The amount that people pay for their cellphone service is normally distributed with a mean of $136…

A:

Q: Use a formula to find the standard deviation of the sample 1, 4, 5, 6.

A: We have given that,  The data set of the sample is,  1, 4, 5, 6 Then,  We will find the standard…

Q: The lifespan of a laptop battery is normally distributed. If the mean lifespan of a battery is 4…

A: Let , X be the lifespan of a laptop battery. X follows Normal distribution with , Mean = μ = 4 years…

Q: The commuting time for a student to travel from home to a university campus is Normally distributed…

A: Let X be the commuting time for a student to travel from home to a university campus is Normally…

Q: Find the probability that a randomly selected year of rain in Sydney, Australia has a yearly…

A: Given Population mean μ=137, population standard deviations σ=69, Let X be the rain in Sydney Note:…

Q: The Real Estate Group NY reports that the mean monthly rent for a one-bedroom apartment without a…

A: Solution: Given information: n= 100 Sample size μ=$2631 Population mean σ=$500 Population standard…

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: According to a 1998 poll conducted by Gallup of 5000 people, 32% of Americans fear putting their…

A:

Q: Regardless of the kind of workout a gym goer does, the mean time spent on the treadmill is 44…

A:

Q: Suppose the time people take to find a parking spot at the annual State Fair is normally distributed…

A:

Q: Regardless of the kind of workout a gym goer does, the mean time spent on the treadmill is 45…

A: According to the given information, we have Mean = 45 Standard deviation = 15 Sample size, n = 36

Q: The probability is 5​% that a student taking the test scores higher than

A: Let X denote the scores of final examination in an introductory statistics course. Given that X…

Q: Five hundred children participated in a field demonstration. Their heights averaged 110cm with a…

A:

Q: The average drive to work is 9.6 miles. Assume the standard deviation is 1.8 miles. If a random…

A: From the given information, x¯=9.6σ=1.8n=36

Q: A waitress believes the distribution of her tips has a model that is slightly skewed to the right​,…

A: a) The probability that she will earn at least $350 is obtained below: From the given information,…

Q: The results of a nationwide aptitude test in mathematics are normally distributed with 80 as the…

A: Solution

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

A: We know that If X follows normal distribution with mean μ and standard deviation σ, then  Z=X-μσ…

Q: The lifetime of a particular brand of AA batteries follows a normal distribution. The mean lifetime…

A: Correct answer is d. 0.8944

Q: The monthly In distributed, with mean of $100 standard deviation of $13. Find the probability that a…

A:

Q: A study found that the heights of college males follow a normal distribution with a mean of 70…

A: Given information- Mean height, μ = 70 inches Standard deviation, σ = 2.5 inches We have to find the…

Q: bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean of…

A:

Q: If the number of degrees of freedom for a chi-square distribution is 32, what is the population mean…

A: We have given that,  Number of degrees of freedom from chi- square distribution (df) = 32  Then, We…

Q: he average weekly unemployment benefit in Idaho is $272. Suppose that the benefits are normally…

A: We have given that  Sample size n=15 , mu=272 ,sigma =43 X~N(mu,sigma^2)

Q: A bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean…

A: Comments: Hi! Thank you for the question, As per the honor code, we are allowed to answer one…

Q: The average height of women is 64 inches. The standard deviation is 2 inches. The heights have a…

A: Let, X= height of women  Given that X follows normal distribution with mean= 64 inches and standard…

Q: The average speed of 64 random cars traveling on a certain highway was 80 km/h and the sample…

A: We have given that,  Average speed (x̄) = 80 , standard deviation    (s) = 20, Confidence level(C.I)…

Q: he management of a national automobile manufacturer advertises a free transmission if it fails. The…

A:

Q: The lifetime of a particular brand of AA batteries follows a normal distribution. The mean lifetime…

A: Correct answer is d. 0.0606

Q: The best male long jumpers for State College since 1973 have averaged a jump of 263.0 inches with a…

A: Given, xM=263 inchesσM =14 inches xF=201.2 inchesσF=7.7 inches Joey's average = 275 inches Carla's…

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

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.