A variable x has a normal distribution with a mean of 250 and a standard deviation of 20. What value of x would have a tail area of 5.5% to the left of the mean? 270270 230230 281.9639281.9639 218.0361

Q: The mean score on a driving exam for a group of​ driver's education students is 60 ​points, with a…

A: Solution:From the given information, k value is 22, standard deviation of points is 4 and mean…

Q: The length of pregnancies are normally distributed with a mean of 266 days and a standard deviation…

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

Q: A distribution of values mean of 50 and standard deviation of 2. What is the interval of the middle…

A: To find the interval containing the middle 84% of the data, we can use the z-score corresponding to…

Q: Find the z score for the given data A normal population with mean 25 and standard deviation 6.…

A: Answer: From the given data, Population mean = μ = 25 Population standard deviation = σ = 6

Q: A normal distribution has a mean of 85.4 and a standard deviation of 4.89. Find the data value…

A: Given data isMean(μ)=85.4standard deviation(σ)=4.89 Z-score=0.55

Q: IQ test scores are normally distributed with a mean of 100 and a standard deviation of 15. Find the…

A: given; let X : IQ test scores X~N(μ,σ)where mean(μ)=100          and standard deviation(σ)=15

Q: data that heights of young men are approximately Normal with standard deviation about 2.8 inches.…

A:

Q: A normal distribution has a mean of 85.4 and a standard deviation of 4.81. Find the data value…

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 263.1…

A:

Q: Scores on a test are normally distributed with a mean of 60 and a standard deviation of 15. What is…

A:

Q: The length of pregnancies are normally distributed with a mean of 266 days and a standard deviation…

A: The mean is 266 and the standard deviation is 15.

Q: A normal distribution has a mean of 85.1 and a standard deviation of 4.89. Find the data value…

A: We have find givan normal distribution and z score...

Q: A normal distribution has a mean of 85.8 and a standard deviation of 4.89. Find the data value…

A: Given,mean(μ)=85.8standard deviation(σ)=4.89z=2.75

Q: X has a normal distribution with a mean of 95 and a standard deviation of 12. The z-value soccer for…

A: X has a normal distribution with a mean of 95 and a standard deviation of 12.

Q: В. May completed the 100 m event in the athletic meet in 14.2 s. The standard deviation of the time…

A: B. Given, Her time =x =14.2 Sd of time of all contestants = σ =0.92 Standard score of her time =…

Q: res on a standardized exam are normally distributed with a mean of 503 and a standard deviation of…

A: X~N( μ , ?)   μ=503 , ?=90   Z-score =( x - μ )/?

Q: The standard deviation of a variable is 10. If a sample of 75 individuals is selected, Part: 0 / 2…

A: We have given thatstandard deviation()=10sample size(n)v= 75

Q: Given a normal distribution with mean 100 and standard deviation 10, find the number of standard…

A: We have given that  Mean(µ) = 100Standard deviations (σ) = 10X ~ N (µ, σ)= N(100, 10)

Q: IQ scores are normally distributed with a mean of 100 and standard deviation of 15. Compute the z…

A: Z score formula has used

Q: Assume that a normal distribution of data has a mean of 12 and a standard deviation of 2. Use the…

A: We have given thatMean(µ) = 112Standard deviations (σ) = 2X ~ N (µ, σ )= N(201, 22)

Q: A normal distribution has a mean of 85.6 and a standard deviation of 4.88. Find the data value…

A: Given, X~Normal(μ,σ2)μ = 85.6σ = 4.88z=2.85

Q: Which of the following values represents the standard deviation of all possible means selected from…

A: In order to study the distribution of a random variable, we need to study it's measures of…

Q: A normal distribution has a mean of 100 and a standard deviation of 7. Find the z-score for a data…

A: The mean is 100 and standard deviation is 7.

Q: A normal distribution has mean u = 56 and standard deviation o = 20. Find and interpret the z-score…

A: X follows a Normal distribution with mean = 56 and S.D = 20 Then z=(x-mean)/SD = (x-56)/20…

Q: A sample of 800 persons showed that 15% of them do not have any health insurance. The 95% confidence…

A: Solution: From the given information, p-hat=0.15 and n=800. The confidence level is 0.95.

Q: A normal distribution has a mean of 85.1 and a standard deviation of 4.81. Find the data value…

A: Given,   Mean = 85.1 Standard deviation = 4.81   The objective is to find the data value…

Q: Given a normal distribution with mean 100 and standard deviation 10, find the number of standard…

A: Given a normal distribution with mean 100 and standard deviation 10. The measurement is X=111.1.

Q: Assume that Math test scores are normally distributed with a mean of 200 and a standard deviation of…

A: The provided information is  The mean and standard deviation is  µ=200 σ=40 P(X<120)=?…

Q: A normal distribution has a mean of 85.3 and a standard deviation of 4.84. Find the data value…

A: We have to find correct answer for given data..

Q: Fawns between 1 and 5 months old have a body weight that is approximately normally distributed with…

A: Introduction: Denote X as the random variable indicating the weight of a randomly selected fawn…

Q: Length of snowboards in a boardshop are normally distributed with a mean of 150.8 cm and a standard…

A: Given,mean(μ)=150.8standard deviation(σ)=0.6

Q: The results of a certain medical test are normally distributed with a mean of 123 and a standard…

A:

Q: Find the data value corresponding to the value of z given. (Enter your answer to four decimal…

A:

Q: The systolic blood pressure (given in millimeters) of males has an approximately normal distribution…

A:

Q: A normal distribution has a mean of 85.4 and a standard deviation of 4.83. Find the data value…

A: Given,mean(μ)=85.4standdard deviation(σ)=4.83z-score=0.85

Q: GMAT scores are approximately normally distributed with a mean of 547 and a standard deviation of…

A: It is an important part of statistics . It is widely used .

Q: If the population standard deviation of a normal distribution is 1.6, then find the standard…

A: Answer: From the given data, Population standard deviation(σ) = 1.6 number of observations(n) = 36

Q: A normal distribution has a mean of 85.5 and a standard deviation of 4.87. Find the data value…

A: A normal distribution has a mean of 85.5 and a standard deviation of 4.87. Find the data value…

Q: The length of pregnancies are normally distributed with a mean of 266 days and a standard deviation…

A: Solution-: Given: \mu=266 days, \sigma=15 days We find 95% of pregnancies last within ±...........…

Q: A distribution of measurements is relatively mound-shaped with a mean of 60 and a standard deviation…

A: Given that : Mean=60 Standard deviation =14 We have to find P(X>46)

Q: The mean 1Q score of adults is 90, with a standard deviation of 10. Use the Empirical Rule to find…

A: Given data: Mean =  90 Standard deviation = 10 To find: By using the Empirical Rule to find the…

Q: The human population has a mean IQ score of µ = 100 and a standard deviation of o = 15. Find the z-…

A:

Q: The lengths of pregnancies in a small rural village are Normally distributed with a mean of 265 days…

A: Obtain the standard z-score for the random variable X equals 239 days. The standard z-score for the…

Q: A normal distribution has a population mean of u=75 and a standard deviation of o=9. What is the…

A:

Q: A population has a mean of  1398.25 and standard deviation of 246.85   17 The middle interval that…

A: GivenMean(μ)=1398.25standard deviation(σ)=246.85sample size(n)=82

Q: A distribution of values is normal with a mean of 134 and a standard deviation of 71.4. Find P67…

A: Given: μ=134 and σ=71.4. From the given information,PZ<z=67%⇒PZ<z=0.67

Q: Adult females' heights are approximately normally distributed with a mean of 62inches and a standard…

A: Empirical rule: For a normal distribution, the approximate values that fall in the specified…