The head of maintenance at XYZ Rent-A-Car believes that the mean number of miles between services is 3639 miles, with a variance of 145,161. If he is correct, what is the probability that the mean of a sample of 41 cars would differ from the population mean by greater than 126 miles? Round your answer to four decimal places.

Q: The mean weight of an adult is 76 kilograms with a variance of 100. If 142 adults are randomly…

A: Given  Mean=mu=76 Variance=sigma^2=100 Standard deviation=sigma=10 n=142

Q: The mean output of a certain type of amplifier is 496 watts with a variance of 144. If 40 amplifiers…

A: Given: mean=μ=496 and variance=σ2=144.

Q: A machine at Katz Steel Corporation makes 5-inch-long nails. The probability distribution of the…

A:

Q: The quality control manager at a computer manufacturing company believes that the mean life of a…

A: The mean is 105 and the variance is 81.

Q: he results of a statistics examination follow an approximately normal distribution with a mean of 68…

A: Given data,Mean μ=68Variance σ2=64sd     σ=8P(X>82)=?

Q: A petroleum engineer estimated the chances of drilling a dry well to be around 50% , and chances of…

A: The probability distribution of the amount of oil and the associated probability of drilling is as…

Q: From past experience, it is known 90% of one-year-old children can distinguish their mother's voice…

A: Let the random variable X denote the number of children who do not recognize their mother's voice…

Q: In a bottling plant, the filling machine works properly when the variance of filling amount equals…

A: Given: Population variance σ2=0.3 Sample size (n) = 30

Q: The mean lifetime of a tire is 3737 months with a variance of 8181.   If 149149 tires are sampled,…

A: Note Thanks for your question. For the calculation, we consider question as, mean lifetime of a tire…

Q: The salaries of professional baseball players are heavily skewed right with a mean of $3.2 million…

A:

Q: It has been reported that 73% of federal government employees use e-mail. If a sample of 225 federal…

A:

Q: The head of maintenance at XYZ Rent-A-Car believes that the mean number of miles between services is…

A: GivenMean(μ)=3287variance(σ2)=198025standard devaition(σ)=198025

Q: If the number of dust particles in a square meter on a surface follows a Poisson distribution with a…

A:

Q: a batch of rods produced at a plant have a mean length of 151 mm, and a variance of 64. If 116 rods…

A: Z= x¯-μσ/n~ N(0,1)

Q: The mean height of 15-year-old boys is 175 cm and the variance is 64. For girls, the mean is 165 and…

A:

Q: The mean weight of an adult is 62 kilograms with a variance of 144. If 195 adults are randomly…

A:

Q: deviation of annual usage is 12.1 pounds, what is the probability that the sample mean will be each…

A: The probability that the sample mean will be less than 55 is given by ​​​​​​​

Q: An organizational psychologist measures levels of job satisfaction in a sample of 30 participants.…

A:

Q: A quality control expert at LIFE batteries wants to test their new batteries. The design engineer…

A: Obtain the z-value corresponds to the probability that the mean battery life would differ from the…

Q: he mean cost of a five pound bag of shrimp is 47 dollars with a variance of 36. If a sample of 43…

A:

Q: The mean cost of a five pound bag of shrimp is 46 dollars with a variance of 64. If a sample of…

A:

Q: The quality control manager at a computer manufacturing company believes that the mean life of a…

A: The quality control manager at a computer manufacturing company believes that the mean life of a…

Q: The mean lifetime of a tire is 3636 months with a variance of 4949. If 126126 tires are sampled,…

A:

Q: The Boeing 727 carries 200 passengers and has doors with a height of 72 inches. heights of men are…

A:

Q: A machine at Katz Steel Corporation makes 5-inch-long nails. The probability distribution of the…

A: Given that: The probability distirubution of the lengths of these nails is approximately normal with…

Q: Suppose babies born in a large hospital have a mean weight of 4088 grams, and a variance of 55,696.…

A:

Q: a.) What probability (in percentage) of students scores are less than 49 on the exam?

A: Given: chemistry exam score = X X follows a normal distribution with mean of 60 and a standard…

Q: A racing car consumes a mean of 103 gallons of gas per race with a variance of 36. If 38 racing…

A: The probability of the sample mean would be greater than 101.5 gallons is 0.9382 and it is obtained…

Q: Suppose the horses in a large stable have a mean weight of 807 lbs, and a variance of 5776. What is…

A: Assume,  x denotes the sample mean weight of horses (in lbs). μ denotes the population mean weight…

Q: In its fuel economy economy guide, the EPA gives a variety of data on 2016 model year vehicles.  If…

A: Let X denote the highway gas mileage is approximately normally distributed with mean 23.0 mpg and…

Q: The quality control manager at a computer manufacturing company believes that the mean life of a…

A:

Q: A random sample of size 100 is taken from a normalpopulation with σ = 25. What is the probability…

A: Suppose a random variable X follows normal distribution with mean µ and standard deviation σ. Then…

Q: Let's say that a country's fiscal balance to debt ratio is normally distributed with a mean of -6.5%…

A: The mean is -6.5 and the variance is 23.2.

Q: A machine at Katz Steel Corporation makes 5-inch-long nails. The probability distribution of the…

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: Suppose babies born in a large hospital have a mean weight of 3685grams, and a variance of 330,625.…

A: Given: μ=3685σ2=330625

Q: The mean points obtained in an aptitude examination is 188188 points with a variance of 361361.…

A: Answer - The mean points obtained in an aptitude examination is  μ = 188 points                with…

Q: The quality control manager at a company manufacturing company believes that the mean life of a…

A: The mean is 81 and the variance is 64. The standard deviation is square root(variance)=sqrt(64)=8.

Q: A quality control expert at LIFE batteries wants to test their new batteries. The design engineer…

A: Solution: Let X be the battery life. From the given information, X has mean µ=645 minutes and a…

Q: According to the U.S. Census Bureau, the mean household income in the United States in 2000 was…

A:

Q: Suppose the current measurements made on a conductor wire track follow a normal distribution with…

A: Given, Suppose the current measurements made on a conductor wire track follow a normal distribution…

Q: The head of maintenance at XYZ Rent-A-Car believes that the mean number of miles between services is…

A: According to central limit theorem the sampling distribution of sample mean follows the normal…

Q: The distribution of the number of gallons of water used for taking a shower in the United States are…

A: Given information: n=30μ=17.2σ=4.2x¯=19

Q: The mean weight of an adult is 71 kilograms with a variance of 100.   If 181 adults are randomly…

A: Let X be a random variable following normal distribution with mean μ and variance σ2, i.e.,…

Q: Suppose the horses in a large stable have a mean weight of 873lbs, and variance of 17,161. What is…

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 that the mean mileage of a tire is…

A: Given information- Population mean, µ = 46619 Population Variance, σ2 = 8145316 So, population…

Q: A racing car consumes a mean of 103 gallons of gas per race with a variance of 36. If 38 racing…

A: Obtain the probability that the sample mean would differ from the population mean by more than 2…

Q: A sample of final exam scores is normally distributed with a mean equal to 20 and a variance equal…

A: Given that, A sample of final exam scores is normally distributed with, Mean = 20 Variance = 25

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

A: The probability that the sample mean would differ from the population mean by less than 778 miles in…

Q: A waiter believes the distribution of his tips has a model that is slightly skewed to the right,…

A: A waiter believes the distribution of his tips has a model that is slightly skewed to the right,with…

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.