CNNBC recently reported that the mean annual cost of auto insurance is 973 dollars. Assume the standard deviation is 234 dollars. You take a simple random sample of 61 auto insurance policies. Find the probability that a single randomly selected value is less than 991 dollars. P(X < 991) =  Find the probability that a sample of size n=61n=61 is randomly selected with a mean less than 991 dollars. P(M < 991) =

Q: Consider a population that has an average score of 100 that is normally distributed (standard…

A: Solution-: Given: μ=100,σ=1 Let, X- be the score We want to find P(X&lt;100)=?

Q: Assume that adults have IQ scores that are normally distributed with a mean of 105 and a standard…

A:

Q: The process that produces Purple Bars is intended to produce candy bars with a mean weight of 55 gm.…

A: Mean = 55Standard deviation = 0.9n = 59x' = 54.82

Q: Metabolic rate is the rate at which someone consumes energy. Data (calories per 24 hours) from 7…

A: n=7 Data: 1792,1666,1362,1614,1460,1867,1439

Q: The time it takes for a statistics professor to mark a single midterm test is normally distributed…

A: Obtain the probability that he needs more than 5 hours to mark all of the midterm tests.   The…

Q: Scores for a standardized test are normally distributed with a mean of 1200 and a standard…

A: given data μ = 1200σ = 60 normal distributionn = 64P(1200&lt;x¯&lt;1214) = ?

Q: The life of a vacuum cleaner is normally distributed with mean of 2 years and a standard deviation…

A: Given: Mean(μ)  = 2 years Standard deviation (σ) = 1 years

Q: Score on a certain nation-wide college entrance examination follows a normal distribution with a…

A: Given Information: Mean μ=110 Standard deviation σ=60 To find the approximate percentage that a…

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

A: Let "X" be the IQ score of the adults.

Q: After a researcher adds 6 points to every score in a sample, the standard deviation is found to be s…

A: The question is about change of origin.Introduction :Change of origin :If a no. is added /…

Q: Find the probability that a randomly selected adult has an IQ greater than 129.9.

A: Let X denote the IQ scores. Given that X follows N(mean = 98.6, SD = 18.5), then Z = (X - mean)/SD…

Q: A sample of 169 is drawn from a certain population. This sample has a mean of 80 and a standard…

A:

Q: he time it takes for a statistics professor to mark a single midterm test is normally distributed…

A: Given Data: μ=4.9σ=1.9   Using central limit theorem ∑X ~ Normal (n×μ, n×σ2)∑X ~ Normal (269.5,…

Q: Assume that blood pressure readings are normally distributed with a mean of 135 and a standard…

A: According to the given information, we have Mean = 135 Standard deviation = 4.7 Sample size = 35

Q: Assume that the readings on thermometers are normally distributed with a mean of 0 degrees Celsius…

A: We have given that Mu= 0 , sigma =1 X~ N ( 0, 1) Zscore=(x-mu)/sigma

Q: The average age of UST employees is 34 years old. Assume the data is normally distributed. If the…

A: The average age of UST employees is 34 years old i.e. μ=34 The standard deviation is three years…

Q: Assume that adults have IQ scores that are normally distributed with a mean of 95.9 and a standard…

A: Given: Mean μ = 95.9 Standard deviation σ = 15.6 Formula Used: Z-score: Z = X-μσ

Q: Assume that blood pressure readings are normally distributed with a mean of 123 and a standard…

A:

Q: CNNBC recently reported that the mean annual cost of auto insurance is 1009 dollars. Assume the…

A:

Q: A health economist does a study on the average life expectancy of every country in Europe.  The…

A:

Q: At a large manufacturing company the mean age of workers is 37 years, and the standard deviation is…

A:

Q: Entry to a certain university is determined by a national test. The scores on this test are normally…

A:

Q: Assume that adults have IQ scores that are normally distributed with a mean of mu equals 100 and a…

A:

Q: Assume that adults have IQ scores that are normally distributed with a mean of 104.7 and a standard…

A: It is given that the IQ score follows normal distribution with mean 104.7 and standard deviation…

Q: A random sample of 14 registered nurses in a large hospital showed that they worked on average 43.9…

A: The sample mean is 43.9 and the standard deviation is 2.2.

Q: A study of pregnant women found that the length of pregnancies is normally distributed with a mean…

A: Solution: Let X be the length of pregnancies. From the given information, X follows normal…

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

A:

Q: The average age of UST employees is 34 years old. Assume the data is normally distributed. If the…

A: Let W be a random variable representing the age of the employees. The average age of the UST…

Q: A population has a mean of 75 and a standard deviation of 15 you randomly sample nine people from…

A: Given population have mean 75 and standard deviation 15. A sample of 9 people from the population is…

Q: Assume that adults have IQ scores that are normally distributed with a mean of mu equals 100 and a…

A:

Q: The life of light bulbs is distributed normally, the standard deviation of the lifetime is 29 hours…

A: Answer: From the given data, Mean (μ) = 570 Standard deviation(σ) = 29 X follows normal…

Q: CNBC recently reported that the mean annual cost of auto insurance is $994. Assume the standard…

A:

Q: Assume that an intelligence test scores are distributed normallt with a mean of 100 and a standard…

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

Q: Assume that adults have IQ scores that are normally distributed with a mean of mu equals 105 and a…

A:

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.