Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. basic math
  3. 2. a sample of 100 is selected from a population w

2. A sample of 100 is selected from a population with mean µ = 100 and...

70.2K

Verified Solution

Question

Basic Math

2. A sample of 100 is selected from a population with mean µ =100 and ? = 20.0.

(a) Describe the sampling distribution of the sample meanX¯.

(b) Find P(X >¯ 105).

(c) Find P(100 < X <¯ 105).

(d) Find P(98 < X <¯ 104).

3. According to the U.S. Department of Energy, the average priceof unleaded regular gasoline sold at service stations throughoutthe nation is $1.23 per gallon with a standard deviation of $0.16.A random sample of 45 stations is selected and the pump prices forunleaded gasoline are recorded. Find the probability that thesample mean price:

(a) exceeds $1.28 per gallon,

(b) is less than $1.19 per gallon,

(c) is between $1.20 and $1.27 per gallon,

4. Almost all medical schools in the U. S. require students totake the Medical College Admission Test (MCAT). Suppose that thetest scores follow a normal distribution with mean 25.0 andstandard deviation 6.5.

(a) One student is selected at random, what is the probabilitythat the student’s score is between 20 and 30?

(b) A random sample of 36 students is selected, what is theprobability that their mean score is between 20 and 30?

Answer & Explanation Solved by verified expert
3.9 Ratings (645 Votes)
    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

Finance
1.2K views

Suppose that a firm’s recent earnings per share and dividend per share are $2.75 and $1.80,...

Statistics
1.2K views

Do students reduce study time in classes where they achieve a higher midterm score? In a...

Chemistry
1.2K views

Hydrogen gas (a potential future fuel) can be formed by the reaction of methane with water...

Geometry
1.2K views

versions numbers for D Question 10 Find the measure of the arc or central angle...

Basic Math
1.2K views

People drive on average 14 058 miles per year About how many miles each week...

Basic Math
1.2K views

Given f z z 10z find and simplify the average rate of change of f...

Basic Math
1.2K views

Find the least positive value of ?.sec(5? - 4)cos(6? 8) = 1?=______________________?

Calculus
1.2K views

A circle has a radius of 4 5m A sector of the circle has a...

Calculus
1.2K views

Calculate all four second order partial derivatives of f x y 3x y 7xy fax...

Algebra
1.2K views

In a piggy bank the numer of nickels is 8 nore than one half the...

Accounting
1.2K views

Instructions Equipment acquired on January 8 at a cost of $165,730 has an estimated useful...

Accounting
1.2K views

In order to accurately calculate an employee's pay, it is important that payroll clearly understands...