Use the Central Limit Theorem to find the probability of the indicated event, assuming that the distribution of the population data is unknown. The average wait time before a customer receives service at a bank on Saturdays is 17 minutes, with a standard deviation of 8 minutes. What is the probability that the average wait time for a random sample of 35 customers is over 18 minutes? Standard Normal Distribution Table P( X̄  > 18)=

Q: Annual food consumption survey shows that number of instant food meals consumed per month by…

A:

Q: a normal distribution has a mean of 60 with a standard deviation of 8. for this population, which is…

A: Solution

Q: The life time of a particular steel plate used in constructions has a normal distribution with a…

A: we have given that, the construction normally distributed with mean (mu)= 80 and standard deviation…

Q: The time that a skier takes on a downhill course has a normal distribution with a mean of 12.a…

A: The objective of this question is to find the probability of a skier taking less than 10 minutes and…

Q: The amount of weight on an ACME tractor trailer is known to have a normal distribution with mean 9.5…

A: GivenMean(μ)=9.5standard deviation(σ)=0.5

Q: If an experimental automobile prototype running at 50 miles per hour expends an average of 120…

A: Consider that the mean and standard deviation of a random variable X are µ and σ, respectively.…

Q: Harry’s commuting times to work have a normal distribution with a mean of 45 minutes and standard…

A: Given: μ = 45 minutes σ = 10 minutes   Formula Used: Z-score = X-μσ

Q: The mean clotting time of blood is 7.45 seconds with a standard deviation of 3.6 seconds. What is…

A: It is given that the mean is 7.45 and standard deviation is 3.6.

Q: The mean monthly maximum temperatures for January in Melbourne can be modelled by a Normal…

A:

Q: For a standard normal curve, find the probability a value has a z-score less than -2.

A: Standardized z-score:   The standardized z-score represents the number of standard deviations the…

Q: Recently, it was found that the length of months that cell phones last is 24.42 months, with a…

A: A normal distribution follows a bell shaped curve which is centred at the mean and it is also called…

Q: A population of normally distributed scores has a mean of 50 and standard deviation of 12.  What is…

A: Given information- Population mean, µ = 50 Population standard deviation, σ = 12 Sample size, n = 36…

Q: Assume that a randomly selected subject is given a bone density test. Those test scores are normally…

A: It is an important fact in statistics . It has got wide applications in all statistical fields .

Q: A mechanical component is subject to a load that has a mean value of 1500 N and a standard deviation…

A:

Q: The population mean rushing yards gained in the 2005 NFL season by runners with at least one…

A: Mean ()=160standard deviation ()=174sample size(n)=10

Q: The overhead reach distances of adult females are normally distributed with a mean of 205.5 cm and a…

A:

Q: udy found that the mean amount of time cars spent in drive-throughs of a certain fast-food…

A: According to the given information in this question, we need to find the following probability

Q: The mean clotting time of blood is 7.45 seconds with a standard deviation of 3.6 seconds. What is…

A: Given,mean(μ)=7.45standard deviation(σ)=3.6

Q: The mean monthly maximum temperatures for January in Canberra can be modelled by a Normal…

A: We have to find given probability..

Q: Driving speed (mph) approximately follows a normal distribution with mean 70 and standard deviation…

A: From the provided information, Mean (µ) = 70 Standard deviation (σ) = 5 X~N (70, 5)

Q: distribution. ulan 15 seconds7 Assume a normal The probability is (Round to the nearest thousandth.)

A:

Q: Draw a graph of a normal distribution with mean μ = −4 and standard deviation σ = 2. What's the…

A: Given that  Mean = μ = −4 and standard deviation σ = 2.

Q: Assume the random variable X is normally distributed with a mean of 50 and a standard deviation of…

A:

Q: Assume that a parent distribution is repeatedly sampled, and the same uncertainty is assigned to…

A: We want to tell you above statement is true or false.

Q: In a 15-day period, the amount of growth for a population of sunflower plants was found to be a…

A: Here it is given that the growth of sunflower is normally distributed with mean=3.18 and SD=0.52…

Q: Brenda has collected data to find that the finishing times for cyclists in a race has a normal…

A: Given the finishing time for cyclists in a race has normal distribution with mean 143 minutes and…

Q: (a) 60% of the distribution below it, (b) 75% of the distribution below it, (c) 80% of the…

A: standard normal distribution Z~N(0,1) we have to find value of z such that  (a) 60% of the…

Q: The mean pregnancy length of new mothers in a population is 267 days with a standard deviation of 10…

A: The pregnancy length of new mothers is normally distributed with mean 267 days and standard…

Q: In a normal distribution for any normal random variable X, the probability that X is more than three…

A: GIven: x~Normal distribution(μ,σ)

Q: The time needed to complete a final examination in a particular college course is normally…

A: Let X be the random variable from normal distribution with mean (μ) = 160 minutes standard deviation…

Q: The high temperature X (in degrees Fahrenheit) on January days in Columbus, Ohio, varies according…

A: Given data,μ=21σ=10P(15<X<25)=?

Q: Jumbo shrimp are defined as those that require 10 to 15 shrimp to make a pound. Suppose that the…

A: GivenMean(μ)=12.5standard deviation(σ)=1.5sample size(n)=25

Q: Mileage data of new model cars follow a normal distribution with an average mileage of 26 mpg and a…

A: Determine the Z score for the mean mileage of these selected cars is at most 27.5 mpg, The Z score…

Q: Use the Central Limit Theorem to find the probability of the indicated event, assuming that the…

A: Suppose the random variable x defines the amount of time students spend checking their phones during…