A typical adult has an average IQ score of 105 with a standard deviation of 20. If 20 randomly selected adults are given an IQ test, what is the probability that the sample mean scores will be between 86 and 124 points?

Q: A population has a standard deviation of 25 and a mean of 300. Given a random sample of size 100,…

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Q: A random sample of 25 observations yield a mean of 116 and a standard deviation of 12. What is the…

A: Given data,Mean μ=116sd σ=12P(X>1150)=?

Q: a typical adult has an average IQ score of 105 with a standard deviation of 20. If 19 randomly…

A:

Q: For a population With a mean of 75 and a standard deviation of 12, what is the probability that a…

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Q: For a normally distributed population with a mean of 35 and a standard deviation of 7.5, if a sample…

A: From the given information,   Mean  = 35 Standard deviation = 7.5   The objective is to find the…

Q: If the mean height of a population of students is 68 inches with standard deviation 3 inches, what…

A: Given that      The mean height of a population of students is 68 inches with standard deviation 3…

Q: In a recent study, the Centers for Disease Control and Prevention reported that the diastolic blood…

A: Given that, Mean, mu= 80.5 And standard deviation, sigma= 9.9 X~ N(80.5, 9.9) We know that, z score…

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 test scores are normally distributed with a mean of 78 and a standard deviation of 9. If 39…

A: Obtain the probability that the average score is between 80 and 84. The probability that the average…

Q: Suppose that the mean and standard deviation of plants height are 130 and 42, respectively, if a…

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Q: According to the study, the average number of hours that the student spent studying per week in the…

A: From the provided information, Mean (µ) = 56 hours Standard deviation (σ) = 14 hours X~N (56, 14)

Q: If the scores follow normal distribution with a mean of 120, a standard deviation of 10, find…

A: Solution

Q: In 1999, the murder rates (per 100,000) for the 50 states and the District of Columbia had a mean of…

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Q: A set of final examination grades in an introductory statistics course is normally distributed, with…

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Q: Since a population has a mean of 73.5 and a standard deviation of 2.5, what is the probability that…

A: We have to find given probability.....

Q: Suppose math scores on the SAT are normally distributed with a mean of 500 and a standard deviation…

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Q: If the average of a random variable is 95 and the standard deviation is 20 then the proportion of…

A: Let X denotes the random variable with mean μ = 95 and SD σ = 20. Let the proportion of observations…

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 life expectancy of 400 people in a certain geographic region, the mean age at death was 70…

A: Given, μ=70σ=5.1n=50

Q: The heights of 18 year-old men are approximately normally distributed, with a mean 68 inches and a…

A:

Q: The average number of pounds of red meat a person consumes each year is 196 with a standard…

A: We are given,μ = 196σ = 22n = 60

Q: If the scores follow normal distribution with the mean of 84 and a standard deviation of 7, find…

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Q: In a population of heroin users, the mean duration of heroin abuse is 5 years with a standard…

A: From the provided information, Mean (µ) = 5 years Standard deviation (σ) = 3 years X~N (5, 3) Sample…

Q: If the grades on a statistics test are normally distributed with a mean of 80 and a standard…

A: Introduction: Define X as the grade of a randomly selected student. It is given that X has a normal…

Q: A local sports magazine reports the mean length of a baseball game to be 175.9 minutes with a…

A: Given, mean, μ= 175.9 minutes standard deviation,  = 27 minutes n = 30

Q: A population has a standard deviation of 16. If a sample of size 64 is selected from this…

A: Given: Population standard deviation = sigma = 16 n = 64 P( sample mean within 2 units from…

Q: The number of people in a department store is normally distributed with a mean of 85 and a standard…

A: We have to find the solution for the given problem.

Q: The average public elementary school has 468 students with a standard deviation of 87. If a random…

A: Given: Mean=μ=468 Standard deviation=σ=87

Q: For a normally distributed population with a mean of 35 and a standard deviation of 7.5, if a sample…

A:

Q: A final exam in STA-120 has a mean of 73 with a standard deviation of 7.8. if 24 students are…

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Q: The heights of students are normally distributed with a mean of 59 inches and a standard deviation…

A:

Q: The average age of accountants is 43 years, with a standard deviation of 5 years. If an accounting…

A: From the given information,   Mean = 43 Standard deviation = 5 Sample size = 30

Q: Suppose the mean weight of school children's book bags is 17.5 pounds, with standard deviation 2.2…

A: Given problem Given that   The mean weight of school children's book bags = μ = 17.5 pounds…

Q: For a normally distributed population with a mean of 35 and a standard deviation of 7.5, if a sample…

A: Given,mean(μ)=35standard deviation(σ)=7.5sample size(n)=50

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

A: It is given that mean and standard deviation are106 and 12, respectively.By using central limit…

Q: A recent study found that 69% of all adults over 50 wear sunglasses for driving. In a random sample…

A: Formula : Mean = np Standard Deviation  :

Q: For a population with a mean of 100 and standard deviation of 16, what is the probability that a…

A: The central limit theorem states if the sample size (n) is large (greater than or equal to 30), then…

Q: For a normally distributed population with a mean of 35 and a standard deviation of 7.5, if a sample…

A: Solution: We are given:

Q: A typical adult has an average IQ score of 105 with a standard deviation of 20. If 20 randomly…

A: Concept of sampling distribution of sample mean: Let a particular characteristic of a population is…

Q: According to government data, the probability that a woman between the ages of 25 and 29 was never…

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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: Suppose a population has a mean of 90 and a standard deviation of 28. If a random sample of size 49…

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Q: Suppose that the average number of hurricanes is 32 per year with a standard deviation of 2.8 and…

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Q: According to government data, the probability that a woman between the ages of 25 and 29 was never…

A: Let X be the random variable of number of women that never married Given n=10 p=0.4 X ~ Binomial(10,…

Q: The heights of 18 year-old men are approximately normally distributed, with a mean 68 inches and a…

A: The random variable height follows normal distribution. The population mean is 68. The population…

Q: A book publisher claims that its mean book length is 250 pages with a standard deviation of 70…

A:

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

A: Given,   Mean = 12 Standard deviation = 3.2 Sample size = 30

Q: a distribution with a mean of 100 and a standard deviation of 15, what is the probability that a…

A:

Q: For a normally distributed population with a mean of 35 and a standard deviation of 7.5, if a sample…

A: Given dataMean = 35Standard deviation = 7.5Sample size (n) = 40probability that the sample mean will…

Q: A population has μ = 50 and σ = 5. If 10 points are added to every score in the population, what are…

A: Consider, (µ) = 50 and (σ) = 5 Let, X be the scores of the population. If 10 points are added to…