Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. statistics
  3. you wish to test the following claim (haha) at a s

You wish to test the following claim (HaHa) at a significance level of α=0.05α=0.05.       Ho:μ=86.1Ho:μ=86.1       Ha:μ≠86.1Ha:μ≠86.1 You believe the...

60.1K

Verified Solution

Question

Statistics

You wish to test the following claim (HaHa) at a significancelevel of α=0.05α=0.05.

      Ho:μ=86.1Ho:μ=86.1
      Ha:μ≠86.1Ha:μ≠86.1

You believe the population is normally distributed and you know thestandard deviation is σ=14.2σ=14.2. You obtain a sample mean ofM=84.5M=84.5 for a sample of size n=63n=63.

What is the critical value for this test? (Report answer accurateto three decimal places.)
critical value = ±±

What is the test statistic for this sample? (Report answer accurateto three decimal places.)
test statistic =

The test statistic is...

  • in the critical region
  • not in the critical region



This test statistic leads to a decision to...

  • reject the null
  • accept the null
  • fail to reject the null



As such, the final conclusion is that...

  • There is sufficient evidence to warrant rejection of the claimthat the population mean is not equal to 86.1.
  • There is not sufficient evidence to warrant rejection of theclaim that the population mean is not equal to 86.1.
  • The sample data support the claim that the population mean isnot equal to 86.1.
  • There is not sufficient sample evidence to support the claimthat the population mean is not equal to 86.1.

Answer & Explanation Solved by verified expert
3.7 Ratings (578 Votes)
Here we have to test thatn 63Here population standard deviation is known and population isnormally distributed so we will use    See Answer
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Calculus
1.2K views

69 Find the equation of variation given r varies inversely as u and r 3...

Biology
1.2K views

An image of the species of trees and the percentage of trees found in two...

Biology
1.2K views

Each of the following is an endoplasmic reticulum function except addition of carbohydrate to proteins...

Physics
1.2K views

Please explair this mam sir I want an detailed explanation 14 2 gm of steam...

Basic Math
1.2K views

A rectangular field is to be enclosed by 200 feet of fence One side of...

Statistics
1.2K views

A group of college freshman are targeted with a voter registration advertisement Another group of...

Algebra
1.2K views

12 HW If the maximum and minimum values in a data set are averaged the...

Accounting
1.2K views

E11-8(Algo) Recording Treasury Stock Transactions and Analyzing Their Impact [LO 11-2, LO...

Accounting
1.2K views

33) Calculation of net income from the change in shareholders' equity Presented below are changes...

Accounting
1.2K views

Red Company immediately expenses its development costs while Black Company capitalizes its development costs. All...

Accounting
1.2K views

Joetz Corporation has gathered the following data on a proposed investment project (Ignore income taxes.):...

Accounting
1.2K views

Quarters: Budgeted Sales (Units) Q3-Y0 16,000 ...