A population of values has a normal distribution with �=218.4 and �=61.1. Find the probability that a single randomly selected value is greater than 241.5. Round your answer to four decimal places. �(�>241.5)=   Find the probability that a randomly selected sample of size �=37 has a mean greater than 241.5. Round your answer to four decimal places. �(�>241.5)=

Q: The amount of time students study for a test is normally distributed with a mean of 3 hours and a…

A: Mean=μ=3Standard.deviation=σ=1.8Samplesize=n=30

Q: Suppose a group of coworkers make a mean of 40,756 per year with a standard deviant of 8000.  These…

A:

Q: Radioactive atoms are unstable because they have too much energy. When they release their extra…

A: Given information Course decay over 365 days is 1,000,000 Radioactive Atoms are reduced 979254

Q: The time spent waiting in the line is approximately normally distributed. The mean waiting time is 5…

A: According to the given information, we have Mean = 5 minutes Standard deviation = 1 minutes

Q: The average American gets a haircut every 39 days. Do college students get their hair cut less…

A: A hypothesis test is a statistical  method that uses sample data to evaluate a hypothesis  about a…

Q: Bernadette is studying the average height of male and female antelopes. The height of antelopes has…

A: Here we want to find the P value for Z = - 1.75

Q: The red blood cell counts (in 10 cells per microliter) of a healthy adult measured on 6 days are as…

A:

Q: The length of human pregnancies from conception to birth varies according to a distribution that is…

A: Given that.   X~N( μ , ?)   μ=266     , ?=16   Z-score =( x - μ )/?

Q: A variable x is normally distributed in a population with mean u and standard deviation o. The…

A: The standard error of the mean of a simple random sample of size 100 chose from the population is…

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

A: a) It is given that the mean is 266 and standard deviation is 15.

Q: A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of…

A:

Q: 10. Assume the population variance of a random variable is known, but the population mean is not.…

A: Here Given  Population Variance is known but sample mean is not known

Q: alternative hypothesis, u6.5. Use a = 0.05 Conduct a t-test for the null hypothesis H: u = 100…

A: x=110 s=8α=0.05 Null hypothesis :H0:μ=100 alternative hypothesis: H1:μ>100

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: The scores on the exam public health professionals take to be certified follows a normal…

A:

Q: The average score of all golfers for a particular course has a mean of 70 and a standard deviation…

A: μ=70,σ=4.5,n=81

Q: The mean points obtained in an aptitude examination is 167 points with a standard deviation of 20…

A: Solution-: Given: μ=167,σ=20,n=76 We find, P[the mean of the sample would differ from the population…

Q: The times that college students spend studying per week have a distribution with a mean of 8.4 hours…

A:

Q: A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of…

A: mean=145.2cm S.D=2.2cm

Q: The time spent waiting in the line is approximately normally distributed. The mean waiting time is 6…

A: Mean=M=6, Standard deviation=S=3X~N(M=6, S=3)

Q: Let X be a normal random variable with mean 2 and standard deviation 1. Which of the following…

A: Given that Let X denotes the normal distribution with mean=2 and standard deviation =1  Then we have…

Q: d the probability that a score is from 185 to 210. d the probability that a score is from 160 to…

A: As per your request I have solve only (d) option Given Mean =201 Standard deviations=21

Q: The percent of fat calories that a person in America consumes each day is normally distributed with…

A: Let  be the percent of fat calories that a person in America consumes each day.The random variable…

Q: professor at a local university finds that the mean exam grade for her students is 73 with a…

A: A professor at a local university finds that the mean exam grade for her students is 73 with a…

Q: Part a) What is the probability that a Duxcell battery will last longer than an Infinitycell…

A: Given that lifetime of Duxcell batteries:  X(mu1=10,sigma1=2)lifetime of Infinitycell battery:…

Q: Determine the probability of seeing a Z score of -5.28 or one with a larger absolute value.

A: Z = -5.28 P( Z > -5.28) = 1 – P(Z < -5.28) = 1 – 0 = 1 P(Z < -5.28) = 0 (From Excel…

Q: In 2000, the average height of a woman aged 20–74 years was 64 inches with an increase of…

A:

Q: For data in the frequency table below, find the value of the standard deviation * Categories…

A: The frequency distribution table is: Categories Repetition (f) 190-210 20 211-231 21…

Q: The time spent waiting in the line is approximately normally distributed. The mean waiting time is 7…

A:

Q: The mean points obtained in an aptitude examination is 187 points with a standard deviation of 13…

A: Calculation:Denote μ as the true population mean of points. Hence, μ = 187.The sample is of size n =…

Q: The time spent waiting in the line is approximately normally distributed. The mean waiting time is 5…

A: given data,normal distribution μ=5σ=3probability that person will wait more than 9 minutes =?

Q: A producer claims that his potato chips weight has a normal distribution at least 150 grams . The…

A:

Q: The cost of unleaded gasoline in the Bay Area once followed an unknown distribution with a mean of…

A: The question is about sampling distributionGiven :Mean cost of unleaded gasoline (  ) =…

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

A:

Q: You are to pick 4 numbers from 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20 such that the 4 numbers…

A:

Q: A soft drink machine outputs a mean of 26 ounces per cup. The machine's output is normally…

A: From the provided information,

Q: The time spent waiting in the line is approximately normally distributed. The mean waiting time is 5…

A: Here, mean is 5 and standard deviation is 3. We will use z-standard normal distribution.

Q: or False n interpreting the variance, the smaller the n interpreting the standard deviation, the

A: Q1. In interpreting the variance, the smaller the variance, the data are closer to the mean.…

Q: TV sets: According to the Nielsen Company, the mean number of TV sets in a U.S. household in 2013…

A: given  mean μ=2.24 standard deviation σ=1.2 n=80

Q: The time spent waiting in the line is approximately normally distributed. The mean waiting time is…

A:

Q: You received a 74% on a quiz. You are curious about how you did in the class overall and want to…

A: Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…