Suppose the grades in a finite mathematics class are normally distributed with a mean of 75 and a standard deviation of 5. What is the probability that the average grade for 5 randomly selected students was at least 83?

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 5 inches,…

A: From the provided information,

Q: Suppose a convenience store averages 450 customers per day entering the store with a standard…

A: Let X be a random variable following normal distribution with mean μ and variance σ2, i.e.,…

Q: Suppose the number of students in a class for the Business Statistics program at a University has a…

A: Given Mean=23 Standard deviations=4.3 n=15

Q: The weights of adult Great Dane are normally distributed with a mean of 100 lb and a standard…

A:

Q: The IQs of 600 applicants of a certain college are normally distributed with a mean of 115 and a…

A: Answer - The IQ of  n = 600 applicants of a certain college are normally distributed…

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 15.4…

A: We have to find the probability that their mean length is less than 15.9 inches...

Q: Suppose one value is selected from a uniform distribution with a = 0 and b = 11. What is the…

A: Given: X~U(0,11) a=0 b=11

Q: 2. Suppose the current annual salary of all teachers in the United States have a normal distribution…

A: Given that.   X~N( μ , ?)   μ=81000     , ?=6500   Z-score =( x - μ )/?

Q: Suppose in a certain primary school, the weight of boys are normally distributed with mean 28kg and…

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: A manufacturer knows that their items have a normally distributed length, with a mean of 13.7…

A: Given: Calculate the corresponding z score as follows: Calculate the probability that their mean…

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 5.1 inches,…

A: The provided information is as follows:The population mean is  inches.The standard deviation is…

Q: Suppose that the monthly incomes of all employees in Firm A are normally distributed with a mean of…

A: Given: Let us define the random variable X as the monthly income of employees in firm A. Mean = μ =…

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 14.5…

A:

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

A:

Q: Suppose the salaries of a company that pays to its employees are normally distributed with an…

A:

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 9.1 inches,…

A: It is given that the mean is 9.1 and standard deviation is 1.3.

Q: A study showed that the average number of hours children in the US watch television each day is 4…

A:

Q: A manufacturer knows that their items have a lengths that are approximately normally distributed,…

A: Mean = 14.7Standard deviation = 1Sample size, n = 34

Q: What is the probability a randomly selected student's score is between 402 and 509.92?

A: It is given that  Mean, μ = 438 Standard deviation, σ = 58 Z-Score, Z = ( X - μ )/σ

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 7.4 inches,…

A: Let "M" be the mean length of the item in inches.

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 12.4…

A:

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 12.4…

A: Given Information: Mean μ=12.4 Standard deviation σ=2.6 If 4 items are chosen at random, to find the…

Q: In a certain geographical region, the annual rainfall is normally distributed with a mean of 102.2…

A:

Q: Suppose that the amount of time that students spend studying in the library in one sitting is…

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

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 10.8…

A: Given that  Mean = M = 10.8  Standard deviation = SD = 1.6 Sample size = n = 4 X ~ Normal (M = 10.8…

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 12.1…

A:

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 14.7…

A:

Q: Suppose the average salary for dentists is normally distributed with mean $145239 and standard…

A: Solution: Let X be the salary for dentist. From the given information, X follows normal distribution…

Q: Elephants are the mammals with the longest gestation period.  One species of elephant has a mean…

A: We have find probabiity..

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 16.5…

A: Central Limit Theorem for mean: If a random sample of size n is taken from a population having mean…

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 5.5 inches,…

A:

Q: Suppose that an airline has a requirement that male members of the cabin crew are between 62 inches…

A: Approach to solving the question: 1) First find the z-score for both the given inches.2) Find the…

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 14.5…

A: We have to find given probability.

Q: According to a report each malaysian student uses an average of 125kg of paper in a year. suppose…

A: Given,mean(μ)=125standard deviation(σ)=78

Q: Suppose that the duration of a particular type of criminal trial is known to have a mean of 24 days…

A: Given that : The mean duration of a particular type of criminal trial ( µ ) = 24 days The standard…

Q: The annual salary for an emergency room nurse is a normally distributed random variable with a mean…

A: Suppose the random variable x defines the annual salary for an emergency room nurse.

Q: at their items have a normally distributed length, with a mean of 16.8 inches, and standard…

A: According to the sum, A manufacturer knows that its items have a normally distributed length, with a…

Q: The Australian Emergency department reports that the average time it takes to respond to an…

A:

Q: Suppose the heights of 18 year old men are approximately normally diatributed, with mean 67 inches…

A: Mean = 67 Standard deviation = 5

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 8.7 inches,…

A: Let x be the length which follows normal distribution with mean 8.7 and standard deviation 2.2. The…

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 5.2 inches,…

A: Obtain the probability that the mean length is less than 5.6 inches. The probability that the mean…

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.