/*! 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. 3.127 The data set has size50 . Approx... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

The data set has size50 . Approximately how many observations lie within one standard deviations to either side of the mean?

Short Answer

Expert verified

The observations that lie within one standard deviations to either side of the mean approximately are34

Step by step solution

01

Given information

We are given that data set has size50

02

Explanation

Here we will use Empirical Rule , for normally distributed random variable, 68%of the measures are within two standard deviation of the mean.

We are given the size of data set to be50 , as here distributions are normal ,

So we get ,0.68×50=34

Approximately,34 observation lie within two standard deviations of the mean.

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 91Ó°ÊÓ!

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

Is an extreme observation necessary an outlier? Explain your answer.

A quantitative data set has size 50. At least how many observations lie within three standard deviation to either side of the mean?

We have provided simple data sets for you to practice finding the descriptive measures discussed in this section. For each data set.

Obtain the quartiles, determine the inter quartile range, find the five-number summary.

1,2,3,4

The cheetah (Acinonyx jubatus) is the fastest land mammal and is highly specialized to run down prey. The cheetah often exceeds speeds of 60miles per hour (mph) and. according to the online document "Cheetah Conservation in Southern Africa" by J. Urbaniak, the cheetah is capable of speeds up to 72mphThe following table gives the top speeds, in miles per hour, arranged in increasing order, for a sample of 35cheetahs.

The sample mean and sample standard deviation of these speeds are 59.53mphand 4.27mph, respectively. A histogram of the speeds is bell shaped.
a. Is it reasonable to apply the empirical rule to estimate the percentages of observations that lie within one, two, and three standard deviations to either side of the mean?
b. Use the empirical rule to estimate the percentages of observations that lie within one, two, and three standard deviations to either side of the mean.
c. Use the data to obtain the exact percentages of observations that lie within one, two, and three standard deviations to either side of the mean.
d. Compare your answers in parts (b) and (c).

The data set has 250observations and has mean 100and standard deviation 16. Approximately how many observations lie between 52and 148.

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.