The average height of a random sample of 400 people from a city is 1.75 m. It is known that t heights of the population are random variables that follow a normal distribution with a standan deviation of 0.4. The 95% confidence for the average heights of the population is: O [1.8532, 1.9642] O [1.5762, 1.9397] O [1.7345, 1.8301] O [1.7108, 1.7892]

The average height of a random sample of 400 people from a city is 1.75 m. It is known that t heights of the population are random variables that follow a normal distribution with a standan deviation of 0.4. The 95% confidence for the average heights of the population is: O [1.8532, 1.9642] O [1.5762, 1.9397] O [1.7345, 1.8301] O [1.7108, 1.7892]

Name: O [69.001, 72.426]Question *The average height of a random sample of
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: O [69.001, 72.426]Question *The average height of a random sample of 400 people from a city is 1.75 m. It is known that theheights of the population are random variables that follow a normal distribution with a standarddeviation of 0.4. The 95% conf

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...

See similar textbooks

Similar questions

An SRS of size 10 is drawn from a population that has a normal distribution. The sample has a mean of 139 and a standard deviation of 7. Give the standard error of the mean 7 , 1
it is known that the population standard deviation of weight among females is 30. assuming that we have a random sample of 210, what is the standard error of the average weight among women of a sample of this size?
A simple random sample of 25 has been collected from a normally distributed population for which it is known the standard deviation is 17. The sample mean has been calculated as 342 and the sample standard deviation of 14.9. Construct a 95% confidential interval for the population mean
The body temperatures of a group of healthy adults have abell-shaped distribution with a mean of 98.36°F and a standard deviation of 0.58°F. Using the empirical rule, find each approximate percentage below. What is the approximate percentage of healthy adults with body temperatures within 2 standard deviations of the mean, or between 97.20°F and 99.52°F? What is the approximate percentage of healthy adults with body temperatures between 96.62°F and 100.10°F?
The number of cat videos watched by a household each day during the lockdown is normally distributed with an average of 108, and a standard deviation of 18. We randomly survey 36 households, and consider the sample average. Find the following values. The base distribution is: X∼N( , ) The sampling distribution is: ¯¯¯X∼N( , ) The z -score for an x -value of 104.4 is: The z -score for a ¯x -value of 104.4 is:
Suppose that you have a four-sided die that is equally weighted (i.e. equal chance of any of the four sides landing face up). The four values on the die are [12.5968, 2, -2 and -12.5968] . If we roll the die 81 times, record the average, and repeat this process a total of 100 times, what does the central limit theorem predict will be the standard deviation of the set of averages? A. 1.00 B. 0.729 C. 0 D. 1.40
From a sample with n = 32, the mean duration of a geyser's eruptions is 3.42 minutes and the standard deviation is 1.12 minutes. Using Chebychev's Theorem, determine at least how many of the eruptions lasted between 1.18 and 5.66 minutes. At least of the eruptions lasted between 1.18 and 5.66 minutes. (Simplify your answer.)
X is a normally distributed random variable with a mean of 5.00 and a standard deviation of 11.39. If the right area is 0.4716 then what is the value of X?
A nursery sells lime trees that have normally distributed heights with a mean of 2 ft and a standard deviation of 0.3 ft. Find the probability that a randomly selected tree is between 1 and 2 ft.
A population has a mean of 300 and a standard deviation of 40. Suppose a simple random sample of size 100 is selected and x¯ is used to estimate μ .What is the probability that the sample mean will be within +/- 5 of the population mean?
The length of time on the SAT exam for a group of students is normally distributed with a mean of 2.5 hours and a standard deviation of 0.25 hours. A sample size of n= 60 is drawn randomly from the population. Find the probability that the sample mean is between two hours and three hours.
Assume all populations are normally distributed. A travel analyst claims that the mean price of a round trip flight from New York City to Los Angeles is less than $507. In a random sample of 55 round trip flights from NYC to LA, the mean price is $502. Assume the population standard deviation is $111. At α = 0.05, is there enough evidence to support the travel analyst’s claim?