User Account

All Pages

Calculate the value of this estimate for the sample

Assignment Help Basic Statistics
Reference no: EM13850994

Adult males are taller, on average, than adult females. Visiting two recent American Youth Soccer Organization (AYSO) under-12-years-old (U12) soccer matches on a Saturday, you do not observe an obvious difference in the height of boys and girls of that age. You suggest to your little sister that she collect data on height and gender of children in 4th to 6th grades as part of her science project. The accompanying table shows her findings.


 Boys
Girls

Sample Average Y Sample Variance S  Sample Size n Sample Average Y Sample Variance S Sample Size n
57.8 3.9 55 58.4 4.2 57

a. Let your null hypothesis be that there is no difference in the height of females and males at this age level. Specify the alternative hypothesis.

b. What is the unbiased estimate of the difference in height between boys and girls? Provide a formula and check the unbiasedness. Calculate the value of this estimate for the given sample.

c. Derive the formula for the variance of the estimate from (b). Calculate the estimate of the variance for the given sample.

d. Create a statistic for testing the hypothesis in (a) using the Central Limit Theorem and the Law of Large Numbers.

e. Calculate the t-statistic for comparing the two means. Is the difference statistically significant at the 1% level? Which critical value did you use? Why would this number be smaller if you had assumed a one-sided alternative hypothesis? What is the intuition behind this?

f. Generate a 95% confidence interval for the difference in height.

Reference no: EM13850994

Questions Cloud

The issue of the us government using technology to spy : Create your blog on the issue of the US government using technology to spy on US citizens and/or foreign nations. Remember, your article must contain an author and a date AND be from the past 12 months.
Program demonstrates simple symmetric-key encryption : This program demonstrates simple Symmetric-key Encryption using the XOR instruction with a multi-byte key entered by the user. Use this key to encrypt and decrypt the plain text
Design a modern network for a private high school : Design a Modern Network for a Private High School. The network is proposed to achieve the above objectives considering the school's following business and technical goals.
Implementing a new performance appraisal system : Topic: An integrative approach to managing people issues arising from implementing a new performance appraisal system. Question: You are the team leader of an organisational and development unit within a human resources department of a large univer..
Calculate the value of this estimate for the sample : What is the unbiased estimate of the difference in height between boys and girls? Provide a formula and check the unbiasedness. Calculate the value of this estimate for the given sample.
How does the magnitude of electric force : How does the magnitude of electric force compare between a pair of charged particles when they are brought to half their original distance of separation? To one-quarter their original distance? To 4 times their original distance? (What law guides you..
The football players at rutgers state university : During a workout, the football players at Rutgers State University ran up the stadium stairs at a steady pace in 48 s. The stairs are 90 m long and inclined at an angle of 31o. If a typical player has a mass of 90 kg, estimate the average power outpu..
What is the direction of the centripetal force felt : What is the direction of the centripetal force felt by a car while taking a turn during a NASCAR race?
What''s the largest diameter a spherical silver particle : What's the largest diameter a spherical silver particle can have for there to be no more than 1 billion electron energy states over a 1 eV interval at 2 eV?

Reviews

Write a Review

Basic Statistics Questions & Answers

  Almost all of the acidity of soda pop comes from the

almost all of the acidity of soda pop comes from the phosphoric acid which is added to give them a sharper flavor. the

  An anova table for multiple regression has the required

an anova table for multiple regression has the required information to compute the coefficient of multiple

  Three cards are randomly selected without replacement from

three cards are randomly selected without replacement from a standard deck of 52 playing cards. compute the conditional

  Conduct the appropriate analysis

What statistical test should be used to analyze the data and identify H0 and Ha for this study.

  You notice in your introductory psychology class that more

you notice in your introductory psychology class that more women tend to sit up front and more men in the back. to

  Determine the mean and standard deviation of x

Let x be the random variable that denotes the net amount a playr wins by playing this lottery. Write the probablity distribution of x. Determine the mean and standard deviation of x. How will you interpret the values of the mean and standard devia..

  Compute the standard error of the estimate for the data

compute the standard error of the estimate for the data below. round to the thousandths place.x 21 22 23 24 25 26y

  Find probability that mean of bill for residents is less

If the amounts of the electric bills are normally distributed, find the probability that the mean of the bill for 15 residents will be less than 75 dollars.

  We want to conduct a hypothesis test to see if the true

a survey was conducted in ohio on high school marijuana use. of the 2266 high school students surveyed 952 admitted to

  Explanation to binomial probability

An unprepared student takes a three-question, true/false quiz in which he guesses the answers to all three questions, so each answer is equally likely to be correct or wrong.

  The mean weight of loads of rock is 430 tons with a

the mean weight of loads of rock is 43.0 tons with a standard deviation of 8.0 tons. if 9 loads are chosen at random

  Measures of central tendency for workers living in community

You're asked to determine whether the workers live in the community. Your personnel department provides the following table:

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!

Submit Assignment

Academics

Major Subjects

Majors

Get In Touch

whatsapp: +1-415-670-9521

Phone: +1-415-670-9521

Email: [email protected]

TERMS & POLICIES

HELP & SUPPORT

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