Find the bootstrap percentile confidence interval

Assignment Help Basic Statistics
Reference no: EM131749366

Question: Confidence interval for the Normal data set. In Exercise you bootstrapped the mean of a simulated SRS from the standard Normal distribution N(0, 1) and found the standard t and bootstrap t 95% confidence intervals for the mean.

(a) Find the bootstrap percentile 95% confidence interval. Does this interval confirm that the t intervals are acceptable?

(b) We know that the population mean is 0. Do the confidence intervals capture this mean?

Exercise: Bootstrapping a Normal data set. The following data are "really Normal." They are an SRS from the standard Normal distribution N(0, 1), produced by a software Normal random number generator.

83_3.png

(a) Make a histogram and Normal quantile plot. Do the data appear to be "really Normal"? From the histogram, does the N(0, 1) distribution appear to describe the data well? Why?

(b) Bootstrap the mean. Why do your bootstrap results suggest that t confidence intervals are appropriate?

(c) Give both the bootstrap and the formula-based standard errors for x. Give both the bootstrap and usual t 95% confidence intervals for the population mean μ. c) Give both the bootstrap and the formula-based standard errors for x. Give both the bootstrap and usual t 95% confidence intervals for the population mean μ.

Reference no: EM131749366

Questions Cloud

Determine the degree of operating leverage : At a price of $48, the estimated monthly sales of a product are 18,000 units. Determine the units that must be sold to ear a before tax profit of $48,000
What type of popular music would influence : Describe characteristics of the music genre's style such as melody, rhythm, texture, and timbre, and reference three example pieces in your essay with YouTube
Compute the total price and quantity materials variances : Simba Company's standard materials cost per unit of output is $9.87 (2.10 pounds x $4.70). Compute the total, price, and quantity materials variances
Analyze how forecast will affect the expected future price : Analyze how forecast will affect expected future price. Obtain a consensus interest rate forecast. How will this effect bond prices?
Find the bootstrap percentile confidence interval : Confidence interval for the Normal data set. In Exercise you bootstrapped the mean of a simulated SRS from the standard Normal distribution N(0, 1).
Discuss about the modernism : Share a web-based resource that you located that gave you more information about one of our readings this week, about Modernism.
Compute standard direct materials price per pound : Compute the following - Standard direct materials price per pound and Standard direct materials quantity per gallon
What is the importance of non-diegetic music : What is the importance of non-diegetic music in shaping an audience's interpretation of and response to the fragmented images and dialogue
Compute the total price and quantity materials variances : Simba Company's standard materials cost per unit of output is $9.87 (2.10 pounds x $4.70). Compute the total, price, and quantity materials variances

Reviews

Write a Review

Basic Statistics Questions & Answers

  Populations suffer from professional due to greate shyness

A psychologist claims that more than 6.3% of the populations suffer from professional due to greate shyness. Categorize the Type II error in this context.

  You are interested in the proportion of smokers consider a

question you are interested in the proportion of smokers. consider a population consisting of n 4 elements the first

  Calculate the appropriate measure of association between

although researchers do their best to reduce error within every study there will always be error. it is important to

  Determine the probability distribution missing value

Determine the probability distribution's missing value. The probability that a tutor will see 0, 1, 2, 3, 4, 5, 6, 7 or 8 students on a given day

  Determining mean hieght

A sample of 40 new baseball with mean of 92.67 and standard deviation of 1.79 does it have a mean hieght that is less than a ball with a mean of 92.84

  Statistical quality in an organization

Statistical Quality in an Organization

  Estimate the percentage of wells with mtbe levels

Find the mean and standard deviation for the MTBE levels of the sampled wells and construct the interval y¯ ± 2s. Estimate the percentage of wells with MTBE.

  For each of the following alpha values compute the

question suppose a null hypothesis is that the population mean is greater than or equal to 100. suppose further that

  Give an example of the law of large numbers

Red cards. You shuffle a deck of cards and then start turning them over one at a time. The first one is red. So is the second. And the third.

  Probability of the state of nature

Based upon the following data, what is the expected value of perfect information, assuming the probability of the state of nature that favors location A occurring is 0.50, the probability of the state of nature that favors location B occurring is ..

  Determine the rejection region

(a) State H0 and Ha. (b) Find the criticalvalue(s) and use it to determine the rejection region. (c) Find the standardized test statistic t.

  Samples of the two material types

An engineer is studying bearing failures for two different materials in aircraft gas turbine engines. The following data are failure times (in millions of cycles) for samples of the two material types.

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