The amount of coffee that people drink per day is normally distributed with a mean of 14 ounces and a standard deviation of 5 ounces. 34 randomly selected people are surveyed. Round all answers to 4 decimal places where possible.What is the distribution of X? X ~ N( , )What is the distribution of x¯? x¯ ~ N( , )What is the probability that one randomly selected person drinks between 13.5 and 14.1 ounces of coffee per day? For the 34 people, find the probability that the average coffee consumption is between 13.5 and 14.1 ounces of coffee per day. For part d), is the assumption that the distribution is normal necessary? No Yes The amount of coffee that people drink per day is normally distributed with a mean of 14 ounces and a standarddeviation of 5 ounces. 34 randomly selected people are surveyed. Round all answers to 4 decimal places where possible.a. What is the distribution of X? X~ N(b. What is the distribution of x? a ~ N(c. What is the probability that one randomly selected person drinks between 13.5 and 14.1 ounces of coffee per day?d. For the 34 people, find the probability that the average coffee consumption is between 13.5 and 14.1 ounces ofcoffee per day.e. For part d), is the assumption that the distribution is normal necessary?NoYesGet help: Written Example

Determine the distribution of the random variable X follows. The distribution of the random variable…

Answered: The amount of coffee that people drink…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

See similar textbooks

Related questions

Concept explainers

Question

The amount of coffee that people drink per day is normally distributed with a mean of 14 ounces and a standard deviation of 5 ounces. 34 randomly selected people are surveyed. Round all answers to 4 decimal places where possible.

What is the distribution of X? X ~ N( , )
What is the distribution of x¯? x¯ ~ N( , )
What is the probability that one randomly selected person drinks between 13.5 and 14.1 ounces of coffee per day?
For the 34 people, find the probability that the average coffee consumption is between 13.5 and 14.1 ounces of coffee per day.
For part d), is the assumption that the distribution is normal necessary? No Yes

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 + ...

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 4 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.