When Wyatt commutes to work, the amount of time it takes him to arrive is normally distributed with a mean of 45 minutes and a standard deviation of 3 minutes. Using the empirical rule, what percentage of his commutes will be between 36 and 54 minutes?

Q: A sample of 16 scores has a standard error of 12. What is the standard deviation of the population…

A: The standard error of the mean is,

Q: If a population has a standard deviation σ of 36 units, what is the standard error of the mean if…

A: The population standard deviation is 36.

Q: The bell company manufactures laptop computers. A study indicates that the life spans of their…

A: Here, The bell company manufactures laptop computers. A study indicates that the life spans of their…

Q: an oceanographer claims that the mean dive duration of a north atlantic right whale is 11.5 minutes.…

A: From the given information, Sample size n =34 the Sample mean, x̅=12.2 minutes the Sample standard…

Q: If a set of data is normally distributed with a mean of 50 and a standard deviation of 5, a z-score…

A:

Q: The Bell Company manufactures laptop computers. A study indicates that the life spans of their…

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: For a population with a standard deviation of 40, how large a sample is necessary to have a standard…

A: We want to find the sample size

Q: When Nachelle runs the 40o meter dash, her finishing times are normally distributed with a mean of…

A: The empirical rule for normal distribution states that 95% of data lies within 2 standard deviations…

Q: The distribution of scores on the SAT is approximately normal with a mean of u = 500 and a standard…

A: Mean(μ)=500 Standard deviation(σ)=100 The objective is to find the min. SAT score needed to be…

Q: A set of test papers is normally distributed with a standard deviation of 5. If Riley scored an 83…

A:

Q: At a local high school, GPA's are normally distributed with a mean of 2.9 and standard deviation of…

A: Given problem Given that   At a local high school, GPA's are normally distributed with a mean of…

Q: Suppose the scores of students on an exam are normally distributed with a mean of 458 and a standard…

A: A Z-score is a numerical measurement that describes a value's relationship to the mean of a group of…

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 261 days…

A: From the given Information, Let X represent the length of pregnancies in a small rural village and…

Q: Express the quartiles, Q1, Q2, and Q3, of a normally distributed variable in terms of its mean, μ,…

A:

Q: When Boubacar commutes to work, the amount of time it takes him to arrive is normally distributed…

A: we have to find out given probability ...

Q: A random sample of 26 psychology graduates scored an average of 458 on the GRE advanced psychology…

A: From the provided information, Sample size (n) = 26 Sample mean (x̅) = 458 Sample standard deviation…

Q: The combined math and verbal scores for students taking a national standardized examination for…

A: Given  mean of 670 and a standard deviation of 220.

Q: At my work there is a fancy coffee machine that dispenses 120 ml of coffee, but I believe that the…

A: Given data and calculation for sample standard deviation is shown below Hypothesized mean = 120 ml…

Q: In a PH modeling agency, a researcher wishes to see if the average height of female models is really…

A: Given,sample size(n)=32sample mean(x¯)=66.3sample standard deviation(s)=1.9degrees of…

Q: The waiting time for patients at a local walk-in health clinic follows a normal distribution with a…

A: n = sample size = 50 x̄ = sample mean  = 14.25 Minutes μ = population mean = 15 Minutes σ =…

Q: The weekly demand for a popular product is distributed normal with a mean 39 KG and a standard…

A: Given that, The weekly demand for a popular product is distributed normal with, Mean = 39 Standard…

Q: A set of data items is normally distributed with a mean of 80 and a standard deviation of 9 .…

A: Given A set of data is normally distributed with mean of 80 and standard deviation of 9 and x=71.so,…

Q: For a population with a standard deviation of σ = 6, what is the z-score corresponding to a score…

A: We are given:

Q: For a population with a standard deviation of 20, what is the zscore corresponding to a score that…

A: The population standard deviation is 20. The z-score corresponding to a score that is 5 points below…

Q: The results of a recent survey indicate that the average new car costs $23,000, with a standard…

A: It is given that the mean new car cost is $23,000 with a standard deviation of $3,500.

Q: The monthly income from a particular occupation is normally distributed, with a mean of 3800 dollars…

A: Given,mean(μ)=3800standard deviation(σ)=500

Q: For a population with a standard deviation of σ = 5, what is the z-score corresponding to a score…

A: We have to find z score..

Q: The scores on a marketing exam were normally distributed with a mean of 67 and a standard deviation…

A: Given data normally distributed with mean (μ) =67, standard deviation (σ) =9.Let ‘X’ be a normal…

Q: The test scores of students in a class test has a mean of 70 and with a standard deviation of 12.…

A: Given,mean(μ)=70standard deviation(σ)=12

Q: At a local restaurant, the amount of time that customers have to wait for their food is normally…

A:

Q: In 1970, adults who were 18 years or more had a mean systolic blood pressure (SBP) of 148 mm Hg.,…

A: Given that in 1970 adults who were 18 years or more had a mean systolic blood pressure (SBP) of 148…

Q: The department has decided that all marks from introductory psychology courses should be reported…

A: Here For two different  Distribution Comparison we will Use Standardized statics (Z)..

Q: If a sample of 144 male weights has a mean of 266 pounds and standard deviation of 32 pounds. The CV…

A: Given data Mean (x̅ ) = 266Standard deviation (s) = 32Coefficient of variation(CV) for sample is…

Q: The diameter of a mason jar is 3 inches but can be as large as 3.05 inches and as small as 2.95…

A: From the question we'll find the value of Cpl. While we have given the UCL = 3.05 and LCL = 2.95…

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 262 days…

A: Let X be the lengths of pregnancies in a small rural village x¯=262sd=16 X~ Normal (262, 162)   For…

Q: The average income of a graduate from the University of Eastern West Virginia is $50,000 per year,…

A: X follows a Normal distribution with mean = 50000 and S.D = 2500 Then z=(x-mean)/SD =…

Q: A small centre has found that the number of jobs submitted per day to its computers has a…

A: The empirical rule for variables is as follows: 68% of all possible observations lie within one…

Q: The times of first failure of a unit of a brand of ink jet printers are approximately normally…

A: Given that  μ=1500σ=200

Q: A telephone company has found that the lengths of its long distance telephone calls are normally…

A:

Q: A trucking company determined that the distance traveled per truck per year is normally distributed,…

A: A normal distribution is a continuous type probability distribution.It is also known as a…

Q: A standardized test has a mean of 50 and a standard deviation of 4. Which of the following is the…

A: The normal distribution  in the center are generally denser and basically less denser at tails.…

Q: In a mid-size company, the distribution of the number of phone calls answered each day by each of…

A: Solution: Let X be the number of phone calls answered each day by each of the 12 receptionists is…

Q: The hotel room rate in Miami, Florida is normally distributed with a mean of $286 per night. Assume…

A:

Q: in a test of a lifelong brand of tires , a survey revealed that the mean life was 35,000 mikes and…

A: Let the random variable X be the life of tires.  The random variable X follows Normal distribution…

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 263 days…

A:

Q: The income of trainess at a local mill are normally distributed with a mean of $1100 and a standard…

A: Let Y be the income of trainee mean = μ = $1100 standard deviation = σ = $150

Q: The hotel industry has been greatly impacted by the COVID-19 pandemic. Suppose that traditionally…

A:

Q: Assuming cholestorol data indicated a mean total cholesterol level for adult persons 20 years of age…

A: Consider X be a random variable which follows normal distribution indicating the cholesterol level.…

Q: The amount of time a certain brand of light bulb lasts is normally distributed with a mean of 1800…

A: X is normally distributed.  Mean = 1800 hours Sigma = 25 hours  X represents the amount of  time a…

Q: The number of points scored by éäch at the end of the season is normally distributed with a mean of…

A: