According to a mashable.com post, time spent on Tumblr, a microblogging platform and social networking website, has a mean of 14 minutes per visit. (Source: on. mash. to/ 1757wfE.) Assume that time spent on Tumblr per visit is normally distributed and that the standard deviation is 4 minutes. If you select a random sample of 25 visits,what is the probability that the sample mean is between 13.6 and 14.4 minutes?what is the probability that the sample mean is between 13 and 14 minutes?If you select a random sample of 100 visits, what is the probability that the sample mean is between 13.6 and 14.4 minutes?Explain the difference in the results of (a) and (c).

Consider X be the random variable defined as the time spent on Tumbler per visit, which is normally…

Answered: According to a mashable.com post, time…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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According to a mashable.com post, time spent on Tumblr, a microblogging platform and social networking website, has a mean of 14 minutes per visit. (Source: on. mash. to/ 1757wfE.) Assume that time spent on Tumblr per visit is normally distributed and that the standard deviation is 4 minutes. If you select a random sample of 25 visits,

what is the probability that the sample mean is between 13.6 and 14.4 minutes?
what is the probability that the sample mean is between 13 and 14 minutes?
If you select a random sample of 100 visits, what is the probability that the sample mean is between 13.6 and 14.4 minutes?
Explain the difference in the results of (a) and (c).

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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