The amount of pollutants that are found in waterways near large cities is normally distributed with mean 8.5 ppm and standard deviation 1.7 ppm. 10 randomly selected large cities are studied. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( b. What is the distribution of ¤? ¤ - N( c. What is the probability that one randomly selected city's waterway will have less than 8.8 ppm pollutants? d. For the 10 cities, find the probability that the average amount of pollutants is less than 8.8 ppm. e. For part d), is the assumption that the distribution is normal necessary? O NoO Yes f. Find the IQR for the average of 10 cities. Q1 = ppm Q3 = ppm IQR: ppm

Q: On a planet far far away from Earth, IQ of the ruling species is normally distributed with a mean of…

A: b. The Z-score of a random variable X is defined as follows: Z = (X – µ)/σ. Here, µ and σ are the…

Q: Refer to the accompanying table, which describes the number of adults in groups of five who reported…

A: Given that ; X represents the number of adults in groups of five who reported sleepwalking P(x) is…

Q: Body temperature (in degrees Fahrenheit) of randomly selected normal and healthy adults are shown…

A:

Q: 20% of the students in a class of 400 are planning to go to graduate school. The standard deviation…

A:

Q: Assume that the weight of people, measured in pounds, has a normal distribution with a mean of 136…

A: Answer: Given that   ‘x’ is Normally distributed with                 Mean  µ =136       standard…

Q: school conducted an IQ test to 32 randomly selected students. The standard deviation in the same…

A:

Q: The patient recovery time from a particular surgical procedure is normally distributed with a mean…

A:

Q: The weights of newborn baby boys born at a local hospital are believed to have a normal distribution…

A: In question, Let X be the random denoting weights of newborn babies. Given the mean is 3331 with…

Q: Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed…

A:

Q: 8. Using Minitab to illustrate the Central Linmit Theorem (CLT), the CLT tells us about the sampling…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: The average amount of money spent for lunch per person in the college cafeteria is $5.97 and the…

A: GivenMean(μ)=5.97standard deviation(σ)=2.3sample size(n)=49

Q: D thru F only

A: A z-score represents the position of a data point in terms of its distance from the mean when…

Q: 2. This is a sample of 10 random seasons in the National Hockey League, Wayne Gretzky scored 50%…

A: Mean: For a set of n observations, x1, x2, ... , xn, mean is defined as, Standard deviation: For a…

Q: Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed…

A: The mean of the distribution, μ=258 feet The standard deviation of the distribution, σ=36 feet

Q: On a planet far far away from Earth, IQ of the ruling species is normally distributed with a mean of…

A: Given information Mean µ = 107 Standard deviation σ = 17

Q: A population distribution has o =6. What position in this distribution is identified bya z-score = +…

A:

Q: 20. Sampling distribution. From 1975 through 2016, the mean gain of the Down jones industrial…

A:

Q: The points scored by teams in the first round of the Statistics Games have a mean of 135 points and…

A:

Q: On a planet far far away from Earth, IQ of the ruling species is normally distributed with a mean of…

A: Solution-: Given: μ=117,σ=14 Let, X= IQ of an individual ∴X→ N(μ=117,σ2=142) We find, (b) P[a…

Q: The following table shows the number of people that have either 0, 1, 2 or 3 cars registered in…

A: Given information: Sample size n=166 The following table gives the summary of number of cars x and…

Q: A Nielsen study indicates that 18- to 24- year olds spend a mean of 174 minutes watching video on…

A: Here, µ = 174 and σ = 15.

Q: The average production cost for major movies is 57 million dollars and the standard deviation is 20…

A: Given  : Mean: μ = 57 million  Standard deviation:𝜎  = 20 million Sample size: n = 46

Q: a. Suppose you go to Alaska in February where the chance of snow is .90 (90 percent). You are there…

A: From the provided information, The chance of snow is .90 (90 percent) that is p = 0.90 Sample size…