The population average of a college test score of students is 100 with a standard deviation of 25. For 16 students what is the probability that the mean will be less than 75?

Q: The vocabulary test scores for the population of third graders is normally distributed with a mean…

A: Given, mean=60 Standard deviation=12 To find What percentage of third graders score more than 36,…

Q: Diastolic blood pressures are assumed to follow a normal distribution with a mean of 85 and a…

A: Given that, Mean = 85 Standard deviation = 12 Sample size, n = 15

Q: . What is the probability that the student will get into a college whose entrance score is 550?

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Q: In a college entrance exam, the average score of 1,000 test takers is 150 with a standard deviation…

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Q: The mean of a normal probability distribution is 120 the standard deviation is 10. About what…

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Q: On a standardized test with normal distribution, the mean is 85 and the standard deviation is 3.…

A: If 95% lies in the middle then (100-95)%=5% are on the two tails. So one tail has = 5%2=2.5%=0.025z…

Q: The mean of a normal probability distribution is 120 the standard deviation is 10. About what…

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Q: On the recent SAT English test, the scores were normally distributed with a mean of 1000 and a…

A: a. The Z-score of a random variable X is defined as follows: Z = (X – µ)/σ. Here, µ and σ are the…

Q: The mean score on a dexterity test for 12-year-olds is 30. The standard deviation is 5. If a…

A: From the given information, let X be the score on a dexterity test for 12-year-old student. The mean…

Q: The average height of a certain age group of people is 53 inches. The standard deviation is 4…

A: Let X be the random variable from normal distribution with mean or average (μ) = 53 and standard…

Q: The probability that a patient recovers from a delicate heart operation is 0.85. What is the…

A: The standard deviation of the binomial random variable obtained by the formula is σ=np(1-p), where…

Q: The average number of moves a person makes in his or her lifetime is 12. If the standard deviation…

A: From the provided information, Mean (µ) = 12 Standard deviation (σ) = 3.2 Sample size (n) = 36 a)…

Q: The random variable X represents the average number of texts a teenager sends, where the…

A: Given, μ = 450σ = 150To find,P (X > 700) = ?

Q: If each score is increased by 25, what will be the mean and standard deviation of the distribution…

A: Given that  The distribution of raw scores on particular achievement test Mean = 500 Standard…

Q: A group of data has a mean of 65 with a standard deviation of 5. What z-score is possible if the…

A: According to the provided information,

Q: The distribution of raw scores on a chemistry final is approximately normal with a mean of about 50…

A: The random variable X is defined as the student will have a raw score which follows normal…

Q: The mean of a normal probability distribution is 600; the standard deviation is 20. About 68% of…

A: given data normal distribution population mean  = 600 population sd = 20

Q: A normal distribution has a mean of 80 with a standard deviation of 20 what score separates the…

A: Let x be the score which follows normal distribution with mean 80 and standard deviation 20. The…

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

A:

Q: The average number of dropouts for a school district has been 305 per year, with a standard…

A: Mean = 305 s = 50

Q: Body temperatures of adults are normally distributed with a mean of 98.60 °F and a standard…

A: Solution: Let X be the body temperatures of adults. From the given information, X follows normal…

Q: In a normal distribution, mean is 60 and standard deviation is 5. How many of the cases have scores…

A: The probability between two specific numbers a and b in a normal distribution with mean μ and…

Q: Body temperatures of adults are normally distributed with a mean of 98.60℉ and a standard deviation…

A: Given information Mean (µ) = 98.6 F Standard deviation (σ) = 0.73 F   Probability of a healthy adult…

Q: The vocabulary test scores for the population of third graders is normally distributed with a mean…

A:

Q: A population has a mean of 75 and a standard deviation of 15. If you randomly sample 9 people from…

A: Mean = 75 Standard deviation = 15 Sample size = 9

Q: Body temperatures of adults are normally distributed with a mean of 98.60 Fahrenheit and a standard…

A: The Z-value of a random variable X is defined as follows: Here, the mean and standard deviation of…

Q: In a large population of adults, IQ scores are said to be normally distributed with a mean of 115…

A:

Q: You know that boys’ heights are distributed normally with a mean of 70" and a standard deviation of…

A: From the given information,   Mean = 70 Standard deviation = 3

Q: The probability that a patient recovers from a delicate heart operation is 60%. There are 20…

A: Solution: Let X be the number of recovered patients and n be the sample number of patients under an…

Q: The average on quiz score is 4 with a standard deviation of only 0.385. What are the chances that…

A: Given that mean=4 and standard deviation= 0.385 Let, X= quiz score  X follows normal distribution…

Q: The mean of a normal probability distribution is 600; the standard deviation is 20. About 95% of…

A: GivenMean(μ)=600standard deviation(σ)=20

Q: A professor at a university gives her large class an examination and finds that the scores follow…

A: mean = 73 sigma = 8

Q: A biology class with 114 students recently had an exam. The mean exam score was 82 and the standard…

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: have a normal distribution. If the mean is 74 and the standard deviation is 2, then a score of 84…

A: From the available information, Population mean, Population  standard deviation, The formula for z…

Q: The weekly salaries of a group of employees are normally distributed with a mean of $800 and a…

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Q: Assume that IQ are normally distributed with a mean of 100 and standard deviation of 20. For a…

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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 lengths of human pregnancies are approximately normally distributed with a mean of 268 days and…

A: Let X is the random variable representing lengths of human pregnancies. X~Normalμ=268,σ=16

Q: In a Normal distribution, the average is 45 and standard deviation is 12. What is the probability…

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Q: The average score of the students of a certain class in a 100-item quiz is 83 with a standard…

A:

Q: The lengths of pregnancies are normally distributed with a mean of 268 days and a standard deviation…

A: Given,sample size (n)=50sample mean(μ)=268standard deviation (σ)=15

Q: A normal distribution has a mean of μ= 54 and a standard deviation of σ=6 What is the probability of…

A: A normal distribution has a mean of μ= 54 and a standard deviation of σ=6. Sample size, n = 4

Q: The distribution of raw scores on a chemistry final is approximately normal with a mean of about 60…

A: A z-score represents the position of a data point in terms of its distance from the mean when…

Q: IQ scores are normally distributed with a mean of 110 and a standard deviation of 2.9. In a sample…

A: For the solution of the problem follow the next step.

Q: The mean of a normal probability distribution is 440, the standard deviation is 8 a. About 68% of…

A: As per Empirical rule, About 68 Percent of the data lies within one standard deviation from mean,…

Q: The mean of small dogs is 4.1 and the standard deviation is .9, what is the probability of choosing…

A: The weight of the small dogs is the continuous data. Let X be the weights of the small dogs which…

Q: The population average of a college test score of students is 50 with a standard deviation of 10.…

A:

Q: The mean of the test is 89 with a standard deviation of only 4. How likely (what probability) is…

A: Consider,Mean (µ) = 89Standard deviation (σ) = 4

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

A: As per question we have µ=100 and σ=15 Here, we have to find p(101≤x≤134) To find out probability…

Q: On a standardized test, Jose scored an 87 and Mia scored a 74. The distribution of test scores for…

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