Random sample from a normal population

Assignment Help Basic Statistics
Reference no: EM13963761

Let X1,..., Xbe a random sample from a normal population. A particular realization resulted in a sample mean of 20 with the sample standard deviation 4. Construct a 95% con?dence interval for μ when:

(a)  = 5, (b= 10, and (c= 25.

What happens to the length of the con?dence interval as changes?

Reference no: EM13963761

Questions Cloud

What is the critical angle at the interface : A pool of water is 3.00 m deep and 4.00 m wide. Someone lying with his face close to the water is looking for a coin that is directly across the pool on the bottom far edge. Will he be able to see it?
Problem regarding the con?dence interval for the population : A random sample of size 26 is drawn from a population having a normal distribution. The sample mean and the sample standard deviation from the data are given, respectively, as x = -2.22 and s = 1.67. Construct a 98% con?dence interval for the popu..
Find the scattering angle of particle a : Particle A of mass m has initial velocity Vo. After colliding with particle b of mass 2m initially at rest, the particles separate. Particle b has a scattering angle of 45 degrees and Particle a has a final velocity of Vo/2. Find the scattering a..
Con?dence interval for the population mean : Assuming that the data come from a normal population, construct a 95% con?dence interval for the population mean μ of the ages of the employees of this university. Interpret your answer.
Random sample from a normal population : Let X1,..., Xn be a random sample from a normal population. A particular realization resulted in a sample mean of 20 with the sample standard deviation 4. Construct a 95% con?dence interval for μ when:
What is the power dissipated through radiation by filament : It is heated to 2500 degrees Celsius in an environment with a temperature of 25 degrees Celsius.
Infrared photons cause a particular piece of metal to emit : If not, why? If yes, what properties of the emitted photoelectrons will be different from the case of the infrared illumination?
Identify each type of electromagnetic radiation. : One type of electromagnetic radiation has a frequency of 1019 kHz, another type has a wavelength of 2.12 10^-10 m, and another type of electromagnetic radiation has photons with energy equal to 4.08 10^-22 J/photon
Collection of subsets of r are bases : Determine which of the following collection of subsets of R are bases: solve each one individually. a) C1 = {(n,n+2) ⊆ R | n∈Z} b) C2 = {[a,b] ⊆ R | a

Reviews

Write a Review

Basic Statistics Questions & Answers

  Mean vector and variance matrix of the random vector

Suppose X is a random variable with mean u and variance sigma2, Calculate the mean vector and variance matrix of the random vector Y = (X,2+3X)?

  Sketch to decide how company proceed to reduce proportion

The company can alter the standard deviation. Use a sketch to decide how the company can proceed if they want to reduce this proportion by changing the standard deviation.

  In other words the true positive rate is 84 and the false

suppose that 84 of hypertensives and 23 of normotensives are classified as hypertensive by an automated blood-pressure

  An educational psychologist is interested in determining

an educational psychologist is interested in determining whether attitudes toward school change with age. she randomly

  Evaluate the normalizing constant c

Let f(x) be the uniform density on [0,1] and let g(x) be the density on [0,1] given by g(x)=ce^x, where c is the normalizing constant. Let F, and G be the corresponding CDFs. Find the density function corresponding to the new CDF H(x) = F(x)G(x).

  Find at how many of the eruptions lasted in a range

For a sample with n=36, the mean duration of a geyser is 3.55 minutes and the standard deviation is 0.63 mintues. Using chebychev's theory, determine at how many of the eruptions lasted between 2.29 and 4.81 mintues.

  Interpretation of error term and goodness of fit regression

Consider the following estimated regression equation, based on 10 observations.

  Describe how to draw sample as cluster random sample

Describe how to draw the sample as a cluster random sample, using flights as the cluster. Describe how to draw the sample as a systematic sample from these flights.

  Minimize total expected cost

Determine the test sequence that minimizes the total expected cost of testing an item. Prove that your proposed sequence is optimal in minimizing the total expected cost of testing an item.

  Find probability that no one has done a one-time fling

About 10% of all adults deliberately do a one-time fling and feel no guilt about it. In a group of 7 adult friends, what is the probability that: No one has done a one-time fling.

  The population in millions and the violent crime rate per

the population in millions and the violent crime rate per 1000 were recorded for 10 metropolitan areas. the data are

  What percentage of normal adults considered to have fever

What percentage of normal and healthly adults would be considered to have a fever? Does this percentage suggest that a cutoff of 100.6 F is approproate?

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd