A government official estimates that the mean time required to fill out the long form of the United States Census follows a distribution which is approximately normal with mean 36 minutes. A random sample of 16 people who were given the long form took a sample mean time (x-bar) = 40 minutes with sample standard deviation (s) = 10 minutes. (a) Find the critical value of the t-statistic with a 10% level of significance. (b) Find the t-test statistic from the sample data (c) Find the p-value

Q: Assume that adults have iq scores that are normally distributed with a mean of 100 and a standard…

A: Solution: Let X be the adults IQ score has normally distributed with mean μ=100 and standard…

Q: The weights of weekly plastic waste from a random sample of 50 American households resulted in a…

A: Given,sample size(n)=50sample mean(x¯)=1.91standard deviation(σ)=1.07α=0.05H0:μ=1.8H1:μ>1.8

Q: A study was made of a sample of 25 records of patients seen at a chronic disease hospital on an…

A: Given data : Sample size = 25 Sample mean = 4.8 Sample standard deviation = 2 Population mean = 4…

Q: A simple random sample of 36 observations was taken from a large population. The sample mean and the…

A: The sample mean and the standard deviation are μ = 80 and σ = 12 respectively.Let X denotes the…

Q: Assume that adults have IQ scores that are normally distributed with a mean of 96.6 and a standard…

A: Standard normal distribution: The standard normal distribution is a special case of normal…

Q: A study of commuting times reports the travel times to work of a random sample of 20 employed adults…

A: Given information- Sample size (n) = 20 Sample mean x̅ = 31.25 minutes Sample standard deviation (s)…

Q: Fluorescent lightbulbs have lifetimes that follow a normal distribution, with an average life of…

A: Solution: From the given information, σ=1,612 hours and n=332.

Q: A sociologist found that in a sample of 50 retired men, the average number of jobs they had during…

A: Given that  Sample size=50 , Mean=6.9 Population Standard deviation=2.3

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A: The mean difference between the one sample and the population mean is calculated using the t test.…

Q: A simple random sample of 100 observations was taken from a large population. The sample mean and…

A: Given that ,                    sample size n=100                    Mean u=80…

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Q: In a simple random sample of births in Hanover, 434 were boys and 416 were not. Construct a…

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

A: It is given that the mean is 5.9 and standard deviation is 2.1.

Q: Bones Brothers & Associates prepare individual tax returns. Over prior years, Bones Brothers has…

A: given  n=100, mean=90,sd=sigma=14

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Q: The quality-control manager at a light bulb factory needs to determine whether the mean life of a…

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Q: Assume that adults have IQ scores that are normally distributed with a mean of 100.3 and a standard…

A: Assume that adults have IQ scores that are normally distributed with a mean of 100.3 and a standard…

Q: The scores of a standarlized test form a normal distribution with a mean of 300 and standard…

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 random sample of 9 women, the average resting pulse rate is x̅ = 76 beats per minute, and the…

A: Given: Sample size (n) = 9 Sample mean x¯=76 Sample standard deviation (s) = 5

Q: What is the greatest amount of time that a newborn can sleep and still be in the bottom 75% of…

A: Let , X→N(μ=15.5 , σ=1.6) Our aim is to find the greatest amount of time that a newborn can sleep…

Q: Mrs. Smith’s reading class can read an average of 190 words per minute with a standard deviation of…

A: X follows a Normal distribution with mean = 190 and S.D = 18 Then z=(x-mean)/SD = (x-190)/18…

Q: How many times per day does an American access the internet? Suppose that the distribution of the…

A: Given that, The mean of the sampling distribution is, The standard deviation of the sampling…

Q: Determine the mode and standard deviation of the data

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Q: The results of a common standardized test used in physchology research is designed so that the…

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Q: Assume that adults have iq scores that are normally distributed with a mean of 97.9 and a standard…

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Q: A simple random sample of 36 observations was taken from a large population. The sample mean and the…

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Q: The shelf life of a battery produced by one major company is known to be Normally distributed, with…

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

A: let X be the distance of fly balls hit to the outfield X~N(mu=260,sigma^2=50^2) n=49 we want to find…

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Q: A sociologist found that in a sample of 45 retired men, the average number of jobs they had during…

A: Given : population mean ,u = 7.2  population standard deviation,σ = 2.3

Q: 5 will be drawn from a population of test takers with a mean of 150 and standard deviation 9. Find…

A: Given that  Sample size (n) = 75 Population mean (μ) = 150 Standard deviation (σ) = 9   We know that…

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Q: A study of commuting times reports the travel times to work of a random sample of 1068 employed…

A: Given data,  x = 54.0  s = 60.9 minutes n=1068 standard error of the mean=?