A group of 625 students has a mean age of 15.8 years with a standard deviation of 0.6 years. The ages are normally distributed. What is the probability that a randomly selected students is older than 16.5 years old?

Q: In 2002, the average height of a woman aged 20–74 years was 64 inches. Suppose the height of a woman…

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Q: In a normal distribution with a mean of 72 and a standard deviation of 12 what is the probability…

A: Given,mean(μ)=72standard deviation(σ)=12

Q: The amount of snowfall falling in a certain mountain range is normally distributed with a mean of…

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Q: The average number of acres burned by forest and range fires in a large New Mexico county is 4,300…

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Q: Salaries at a large corporation are normally distributed with a mean of $45,000 and a standard…

A: The normal distribution shows the probability value using the standard score or raw score. It is…

Q: The starting salaries of individuals with an MBA degree are normally distributed with a mean of…

A:

Q: Suppose the grades in a mathematics class are Normally distributed with a mean of 75 and a standard…

A: Introduction :-  Here the grades in a mathematics class are Normally distributed with a mean of 75…

Q: Suppose your customers' incomes are normally distributed with a mean of $37,500 with a standard…

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Q: The heights of ten-year-old males are normally distributed with a mean of 56 inches and a standard…

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Q: the average age of bank managers is 40 years. assume the variable is normally distributed. if the…

A: The age of manager is normally distributed with mean μ=40 years and standard deviation σ=5 years. To…

Q: A tire manufacturer states that a certain type of tire has a mean lifetime of 60,000 miles. Suppose…

A: From the given information, A tire manufacturer states that a certain type of tire has a mean…

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

A:

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: A large corporation pays its employees an average of $64,000 per year with a standard deviation of…

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Q: A small retail store has customers whose ages are normally distributed, with a mean of 37.5 and a…

A: Let X denote the customer ages and it follows normally distribution with a mean of 37.5 and a…

Q: In a recent survey of high school students, it was found that the average amount of money spent on…

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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: At a customer service call center for a large company, the number of calls received per hour is…

A: At a customer service call center for a large company, the number of calls received per hour is…

Q: In the United States, men’s heights have mean of 69 inches, and standard deviation of 3 inches.…

A: Let X be the height of men in United States. X follows normal distribution that has mean µ = 69 and…

Q: An electrical company claims that an average life of bulbs it manufactures is 1200 hours with a…

A: Given that : μ= 1200 hour  ? = 250 hours  n = 100 By using the central limit theorem we solve this…

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 13 inches,…

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Q: Teachers in a city have a normal distribution with an average weekly salary of $ 490 and a standard…

A: Let X denote the teachers in a city and it follows normal distribution with an average weekly salary…

Q: At a customer service call center for a large company, the number of calls received per hour is…

A:

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

A: We have to find given probability..

Q: Based on historical data, it is reasonable to assume that the number of points that students receive…

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Q: In a given year, the average annual salary of a cricket player was $205 000, with a standard…

A: The probability that the sample mean will be less than $210,000 is,…

Q: What is the probability that the workers received a salary higher than or equal to ₱575 per day?

A: According to the study, the mean salary of the workers in Metro Manila is ₱550 per day with a…

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: In a recently conducted study, families reported using an average of 70 gallons of gasoline per…

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

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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: The time needed to complete a final examination in a particular college course is normally…

A: Let X be the random variable from normal distribution with mean (μ) = 160 minutes standard deviation…

Q: A population of 25-28 year-old males has a mean salary of $29,321 with a standard deviation of…

A: From the information, the mean salary of $29,321 with a standard deviation of $2,120.

Q: The heights of 9-year-old children are normally distributed, with a mean of 123 cm and a standard…

A: It is given that the mean is 123, the standard deviation is 10 and the sample size is 3.

Q: The average lifetime of smoke detectors that a company manufactures is 5 years, or 60 months, and…

A: From the given information,Sample size 30, mean 60 months and standard deviation 8 months

Q: The daily sales of a small retail store in tokyo for the last 365 days are normally distributed with…

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Q: The grades in a standardized test have a mean of 78, a known standard deviation of 8, and are…

A: Given:

Q: Assume women’s heights are normally distributed with a mean of 63.6 inches and a standard deviation…

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Q: The annual per capita consumption of ice cream (in pounds) in the United States can be approximated…

A: It is given that the mean is 20.7 and the standard deviation is 4.2.

Q: Oranges chosen at random have a mean mass of 210 grams and standard deviation of 35 grams. Assuming…

A: We have to find  probability  for given data

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: Traveling between University of Santo Tomas and Rizal Park, Manila via shuttle bus takes, on…

A: Solution: Let X be the transport time. From the given information, X has mean µ=31 minutes and a…

Q: Suppose that the average outstanding credit card balance for young professionals is 11,200 with a…

A: GIVEN DATA, μ=11200σ=2600If n=150P(X<12300)=?

Q: In recent years, the average movie ticket cost $7.89. In a random sample of 50 movie tickets from…

A: From the provided information, Mean (µ) = $7.89 Population standard deviation (σ) = $1.39 X~N (7.89,…

Q: The daily sales of a small retail store in Toronto for the last 365 days are normally distributed…

A: Given Information :  The daily sales of a small retail store in Toronto for the last 365 days are…

Q: The test scores of 600 students are normally distributed with a mean of 76 and a standard deviation…

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Q: Find the indicated probability. An insurance company has determined that the cost of a certain…

A: Given information Mean µ = $800 Standard deviation σ = $40

Q: The ages of patients in a hospital were normally distributed with a mean of sixty-three years and a…

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Q: An audit finds that the dollar amounts of invoices have a mean of $1,662 anda standard deviation of…

A: Note : Since you have asked multiple questions, we will solve the first question for you. If you…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.