roblem 1: Assume the number of downloads per day of a popular APP A follows a normally distribution with a mean of 2800 and standard deviation of 860. Answer the following 4 questions. 1) What is the probability there are 2000 or fewer downloads in a day? 2) What is the probability there are between 1500 and 2500 downloads in a day? 3) What is the probability there are more than 3000 downloads in a day? 4) Assume the company providing the downloading service has designed its servers so there is probability 0.01 that the number of downloads in a day exceeds the servers' capacity and more servers have to be brought online. How many downloads per day are the servers designed to handle?   Problem 2: A logistic company determined the distance traveled per truck per year follows a normally distribution with a mean of 50 thousand miles and standard deviation of 12

Q: Section 1. IQ tests supposedly measure our intelligence. They typically are 'normed' so that they…

A: We have given that  Mean = 100 Standard deviation = 15

Q: what if the standard deviation was 30, instead of 60

A:

Q: The weights of men in their 30s are normally distributed with a mean of 190 pounds and a standard…

A: From the provided information, Population mean (µ) = 190 pounds Population standard deviation (σ) =…

Q: Find the mean and standard deviation for the following:…

A: a)Mean: The Mean is 1.41

Q: Use technology to solve the following problem: The mean annual income for people in a certain…

A: The question is about central limit theorem Given : Mean annual income ( μ ) = 42 Std. deviation of…

Q: Find the standard deviation for the population data set. You must clearly show your work with…

A: Given data 2, 5, 9, 11, 13 Mean,  x = ∑i xin= 2+5+9+11+135 = 8 xi (xi-x¯) (xi-x¯)2 2 -6 36 5…

Q: The standard deviation may not be greater than the mean. O True O False

A: False: standard deviations may be greater than mean  example: random variable x follow standard…

Q: Suppose you have a test with a mean of 66 and a standard deviation of 5. If you first increase…

A: Given Mean =66 Standard deviation=5

Q: uppose you have a data set of size of 26 with mean 50 and standard deviation 8. If u subtract 8 from…

A:

Q: Give two sets of five numbers that have the same mean but different standard deviations. OSet 1: 3,…

A:

Q: What is the sum of the deviation scores for the data in the frequency distribution table below?

A: Sum of deviation  of scores from mean is always zero.

Q: If a set of numbers has a standard deviation of zero, what can you say about the numbers?

A: The standard deviation indicates that amount of deviation of data points from the mean.

Q: professor who teaches a large introductory statistics class (197 students) with eight discussion…

A:

Q: Two different species of trees have heights that are approximately normal in distribution. Tree A…

A: Given that Tree A has a mean of 36 feet and a standard deviation of 3 feet.   Tree B has a mean of…

Q: Energy consumption for single family comes is a mean of 1050kw and standard deviation of 218kw. Find…

A: Given information- Population mean, μ = 1050 kw Population standard deviation, σ = 218 kw We have to…

Q: Suppose a population is known to be normally distributed with a mean, μ, equal to 116 and a standard…

A:

Q: It is possible to have a standard deviation of -1 for some data set? True or False

A: See the below solution

Q: The scores on two standardized tests are normally distributed. The first test had a mean of 50 and a…

A: Let I will need score = k on the second test to equal a score of 62 on the first test.  z score of…

Q: Imagine you select 30 males at random and find their mean height to be 5 ft 11 in. tall with a…

A:

Q: Suppose the scores of students on a Statistics course are Normally distributed with a mean of 440…

A:

Q: State three examples where similar averages are associated with very different distributions Go…

A: Given :  State three examples where similar averages are associated with very different…

Q: Americans (on average) individually eat 16 pounds of seafood each year with a standard deviation of…

A: Given that   x̄ = 14 , μ = 16 , ? = 7 , n = 4

Q: Pattys final exams have an average of 78 and a standard deviation of 6.  If she wants 4% of her…

A: X follows a Normal distribution with mean = 78 and S.D = 6 Then z=(x-mean)/SD = (x-78)/6  follows…

Q: How would you find the standard deviation by hand, of the following numbers: 1,1,3,01,6,2

A: Standard deviation:Standard deviation quantifies the dispersion of a data set from its mean. The…

Q: A student will spend 15 hours average each week in class. If the standard deviation is 2 hours, what…

A: Given that mean=15 and standard deviation = 2 Let, X= number of hours spent by a student in the…

Q: Suppose that the scores on a reading ability test are normally distributed with a mean of 65 and a…

A: Given that  Mean = M = 65  Standard deviation = SD = 9 X ~ Normal (M = 65 , SD = 9)

Q: Please see below.

A: Let X is the time to complete the obstacle course. X~U(a,b) a=8, b=17

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.