/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q.29 An unknown distribution has a me... [FREE SOLUTION] | ÷ÈÓ°Ö±²¥

÷ÈÓ°Ö±²¥

An unknown distribution has a mean of 25 and a standard deviation of six. Let X = one object from this distribution. What is the sample size if the standard deviation of ΣX is 42?

Short Answer

Expert verified

The sample size is49.

Step by step solution

01

Given Information

An unknown distribution has a mean of 25 and a standard deviation of six.

02

Explanation

The sample size if the standard deviation of ΣX=nσx

Therefore, the sample size is:

42=n×6

n=426

role="math" localid="1648890741186" n=7

n=49

Therefore, the sample size is49

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 ÷ÈÓ°Ö±²¥!

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

The length of time a particular smartphone's battery lasts follows an exponential distribution with a mean of ten months. A sample of 64 of these smartphones is taken.

Find the 80th percentile for the total length of time 64 batteries last .

According to Boeing data, the 757airliner carries 200passengers and has doors with a height of 72inches. Assume for a certain population of men we have a mean height of 69.0inches and a standard deviation of 2.8 inches.
a. What doorway height would allow 95%of men to enter the aircraft without bending?
b. Assume that half of the 200passengers are men. What mean doorway height satisfies the condition that there is a0.95probability that this height is greater than the mean height of 100men?

c. For engineers designing the 757 , which result is more relevant: the height from part a or part b? Why?

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.

Certain coins have an average weight of 5.201grams with a standard deviation of 0.065g. If a vending machine is designed to accept coins whose weights range from 5.111g to 5.291g, what is the expected number of rejected coins when 280randomly selected coins are inserted into the machine?

Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 250 feet and a standard deviation of 50 feet. We randomly sample 49 fly balls.

a. If Xthe average distance in feet for 49 fly balls, then X¯~

b. What is the probability that the 49 balls traveled an average of fewer than 240 feet? Sketch the graph. Scale the horizontal axis forX¯. Shade the region corresponding to the probability. Find the probability.

c. Find the 80thpercentile of the distribution of the average of 49 fly balls.

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.