Cititon Forest contains a population of 412 yeti, whose masses have a mean of 685 kg and a standard deviation of 92 kg. What is the probability that a sample of 125 yeti from Cititon Forest have masses with a mean of less than 400? Round your answer to 5 decimal places.

Q: The average score of all golfers for a particular course has a mean of 76 and a standard deviation…

A:

Q: The standard deviation of the scores on a skill evaluation test is 354 points with a mean of 1458…

A: Given that  Mean = 1458 , Standard deviation = 354 , Sample size = 313

Q: a division wide aptitude test in mathematics was conducted to 1000 students. the mean of the test is…

A: Given : No. of students : Sample size (n) = 1000 Let X : Scores in aptitude test in mathematics…

Q: In New York State, the population of teachers is known to have an average of 12.2 years of classroom…

A:

Q: The chloride concentration in the blood (mmol / liter) averages 104 with a standard deviation of 5.…

A: Given Data: Let X represent the random variable   X~ Normal (104, 52) n=200 Therefore, X¯ ~ Normal…

Q: A history class has 95 members. If there is a 22% absentee rate per class meeting , find the mean…

A:

Q: A random sample of 25 observations yield a mean of 106 and a standard deviation of 12. Find the…

A: From the given information,Sample size 25, mean 106 and standard deviation 12

Q: The average score of all golfers for a particular course has a mean of 76 and a standard deviation…

A: We have given information with the usual notation, Let X denote the score of golfers for a…

Q: If the probability of defective bolt is 0.1, find the mean and the standard deviation for the number…

A: Given the probability of a defective bolt is, 0.1 That is, p=0.1 The total number of bolts is, n=400…

Q: The amount of pyridoxine in grams per multiple vitamin pill has a mean of 180 and a standard…

A: Given,mean(μ)=180standard deviation(σ)=24sample size(n)=64

Q: A particular fruit's weights are normally distributed, with a mean of 727 grams and a standard…

A: The mean is 727 and the standard deviation is 34 grams.

Q: If you pick 2 fruits at random, then 7% of the time, their mean weight will be greater than how many…

A: Let X denote the fruit's weight. Given that X follows N(mean = 495, SD = 32) Sample size n = 2

Q: The average score of all golfers for a particular course has a mean of 64 and a standard deviation…

A:

Q: at is the probability that you could randomly

A: mean = 112.5 standard deviation = 16.4 What is the probability that you could randomly select a…

Q: The grades for the latest statistics exam are normally distributed. The mean was 93 with a standard…

A: According to question given that Mean (μ)=93Standard deviation (σ)=4As we know that relation between…

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: Proctor & Gamble reported that an American family of four washes an average of 1 ton (2000…

A: Introduction:Here, the suggested population mean, μ = 2,000 pounds.The population standard…

Q: The life of light bulbs is distributed normally. The mean life time of a bulb is 520 hours and the…

A: Answer: Using the given data, Let X represent the life time of a light bulb X follows normal…

Q: The standard deviation of the scores on a skill evaluation test is 290 points with a mean of 1286…

A: We have to find given Probability.

Q: Scores on the SAT test have a mean of 1518 and a standard deviation of 325. If 100 students are…

A: Scores on the SAT test have a mean of 1518 and a standard deviation of 325.

Q: The average score of all golfers for a particular course has a mean of 71 and a standard deviation…

A: Solution: Let X be the score of golfer for a particular course. From the given information, X has a…

Q: Scientists find that a particular species of caterpillar has a mean mass of 32 grams with a standard…

A:

Q: A population has a mean of 75 and a standard deviation of 15. You randomly sample 9 from the…

A:

Q: The mean of a test is 86 with a standard deviation of only 4. How likely (what probability) is there…

A: Let X= score  Given, X follows normal distribution with mean = 86 and standard deviation = 4

Q: The mean number of words per minute (WPM) typed by a speed typist is 123 with a standard deviation…

A: We have to find given probability.

Q: The average age of senators in the 108th Congress was 58 years. If the standard deviation was 11…

A: Average or mean (μ) = 58 years and standard deviation (σ) = 11 years  Then, We will find the z…

Q: A normally distributed population has a mean equal to 85 and a standard deviation equals 4.0. If a…

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Q: The local police force gives all applicants an entrance exam and accepts only those applicants who…

A: The score that corresponds to the top 15% is, The Z-score that corresponds to the area 0.85 is…

Q: The average score of all golfers for a particular course has a mean of 74 and a standard deviation…

A:

Q: As an electrical engineer, you have designed a new efficient light bulb. In order to predict its…

A: Formula  Used: Mean X = ∑FX∑F Standard deviation = ∑FX2-nX2∑F-1

Q: The standard deviation of the lengths of a hospital stay on the intervention ward is 8.7 days. What…

A: Standard deviations=8.7 n=73

Q: An Intelligence test score for adults is normally distributed with a mean of 100 and population…

A: Solution Given: μ=100,σ=15 We find, P(a sample of 64 adults and find that the mean of this sample is…

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

A: It is given that, The average score of all pro golfers for a particular course has a mean of 70 and…

Q: A population of values has a mean of 41.1 and standard deviation of 46.6.  Find the probability…

A: Given, A population values mean 41.1 and standard deviation of 46.6 X~N(μ=41.1,σ2=46.62) A random…

Q: A person in the U.S. eats about 25 pounds of M&M's per year with a standard deviation of 3 pounds.…

A: Assume that a person in the U.S. eats of M&M's per year follow normal distribution. μ=25σ=3 Let…

Q: A population of values has a mean of 59.6 and standard deviation of 35.4.  Find the probability…

A: Where,

Q: there are 75 students in the class and 20 students are getting a+ grade in the class find the mean…

A: