Warning: foreach() argument must be of type array|object, bool given in /var/www/html/web/app/themes/studypress-core-theme/template-parts/header/mobile-offcanvas.php on line 20

The cost of unleaded gasoline in the Bay Area once followed an unknown distribution with a mean of \(4.59and a standard deviation of \)0.10. Sixteen gas stations from the Bay Area are randomly chosen. We are interested in the average cost of gasoline for the 16gas stations. The distribution to use for the average cost of gasoline for the 16gas stations is:

a.X¯~N(4.59,0.10)

b.X¯~N4.59,0.1016

c.X¯~N4.59,160.10

d.X¯~N4.59,160.10

Short Answer

Expert verified

b.X¯~N4.59,0.1016

Step by step solution

01

Given information

The cost of unleaded gasoline in the Bay Area once followed an unknown distribution with a mean of $4.59and a standard deviation of $0.10. Sixteen gas stations from the Bay Area are randomly chosen. We are interested in the average cost of gasoline for the 16gas stations.

02

Explanation

the mean random variable is given by, X~Nμ,σn

Plugging all the values in the above equation, we get

X~N4.59,0.1016

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

A manufacturer produces 25-pound lifting weights. The lowest actual weight is 24 pounds, and the highest is 26 pounds. Each weight is equally likely so the distribution of weights is uniform. A sample of 100 weights is taken.

a) What is the distribution for the sum of the weights of 100 25-pound lifting weights?

b) Find P(Σx < 2,450).

A typical adult has an average IQ score of 105with a standard deviation of 20. If 20randomly selected adults are given an IQ test, what are the probability that the sample mean scores will be between 85 and 125 points?

Yoonie is a personnel manager in a large corporation. Each month she must review 16of the employees. From past experience, she has found that the reviews take her approximately four-hour search to do with a population standard deviation of 1.2hours . Let Χ be the random variable representing the time it takes her to complete one review.Assume Χ is normally distributed. Let x-be the random variable representing the meantime to complete the 16reviews. Assume that the 16reviews represent a random set of reviews

Complete the distributions.

a. X~ _____(_____,_____)

b. x-~ _____(_____,_____)

Find the probability that the sums will fall between the z-scores 2 and 1.

Men have an average weight of 172pounds with a standard deviation of 29pounds.

a. Find the probability that 20randomly selected men will have a sum weight greater than 3600lbs.

b. If 20 men have a sum weight greater than 3500lbs, then their total weight exceeds the safety limits for water taxis. Based on (a), is this a safety concern? Explain.

See all solutions

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free