/*! 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} Q2 Range Rule of Thumb for Interpre... [FREE SOLUTION] | 91影视

91影视

Range Rule of Thumb for Interpreting s The 20 brain volumes (cm3 ) from Data Set 8 鈥淚Q and Brain Size鈥 in Appendix B have a mean of 1126.0 cm3 and a standard deviation of 124.9 cm3. Use the range rule of thumb to identify the limits separating values that are significantly low or significantly high. For such data, would a brain volume of 1440 cm3 be significantly high?

Short Answer

Expert verified

According to the range rule of thumb, values that lie above 1375.8cm3 are significantly high, and values that lie below 876.2 cm3are significantly low.

The value of the brain volume equal to 1440 will be significantly high.

Step by step solution

01

Given information

The total brain volume (in cm3) of 20 twins is proved in the dataset.

The mean volume is equal to 1126.0 cm3.

The standard deviation is equal to 124.9 cm3.

02

Identifying the limits 

The significant values of mathematical data can be identified using the range rule of thumb, which states that values

  • equal to or less than- are considered to be significantly low values.
  • equal to or greater than+ are considered to be significantly high values.
  • between -and + are not considered to be significant values.

Here, stands for the mean of the data, and stands for the standard deviation of the data.

So, the limits become as shown below:

Lower limit:

-2=1126.0-2124.9=1126.0-249.8=876.2.

Upper limit:

.+2=1126+2124.9=1126+249.8=1375.8

For the given brain volumes, the limit-separating values are , which implies that the values below 876.2 cm3are significantly low, and those above 1375.8 cm3are significantly high.

03

Checking for significance

If the value lies between the limits, it is not significant, and if it lies beyond the limits, it is significant.

The total brain volume equal to 1440cm3 lies beyond the upper limit of 1375.8cm3 . Therefore, it is significantly high.

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 91影视!

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

In Exercises 37鈥40, refer to the frequency distribution in the given exercise and find the standard deviation by using the formula below, where x represents the class midpoint, f represents the class frequency, and n represents the total number of sample values. Also, compare the computed standard deviations to these standard deviations obtained by using Formula 3-4 with the original list of data values: (Exercise 37) 11.5 years; (Exercise 38) 8.9 years; (Exercise 39) 59.5; (Exercise 40) 65.4.

Standard deviation for frequency distribution

s=nfx2-fx2nn-1

Blood Platelet Count of Females

Frequency

100-199

25

200-299

92

300-399

28

400-499

0

500-599

2

Weighted Mean A student of the author earned grades of A, C, B, A, and D. Those courses had these corresponding numbers of credit hours: 3, 3, 3, 4, and 1. The grading system assigns quality points to letter grades as follows: A = 4; B = 3; C = 2; D = 1; F = 0. Compute the grade-point average (GPA) and round the result with two decimal places. If the dean鈥檚 list requires a GPA of 3.00 or greater, did this student make the dean鈥檚 list?

The Empirical Rule Based on Data Set 1 鈥淏ody Data鈥 in Appendix B, blood platelet counts of women have a bell-shaped distribution with a mean of 255.1 and a standard deviation of 65.4. (All units are 1000 cells/L.) Using the empirical rule, what is the approximate percentage of women with platelet counts

a. within 2 standard deviations of the mean, or between 124.3 and 385.9?

b. between 189.7 and 320.5?

In Exercises 13鈥16, use z scores to compare the given values.

Oscars In the 87th Academy Awards, Eddie Redmayne won for best actor at the age of 33 and Julianne Moore won for best actress at the age of 54. For all best actors, the mean age is 44.1 years and the standard deviation is 8.9 years. For all best actresses, the mean age is 36.2 years and the standard deviation is 11.5 years. (All ages are determined at the time of the awards ceremony.) Relative to their genders, who had the more extreme age when winning the Oscar: Eddie Redmayne or Julianne Moore? Explain.

In Exercises 21鈥24, find the mean and median for each of the two samples, then compare the two sets of results.

Bank Queues Waiting times (in seconds) of customers at the Madison Savings Bank are recorded with two configurations: single customer line; individual customer lines. Carefully examine the data to determine whether there is a difference between the two data sets that is not apparent from a comparison of the measures of center. If so, what is it?

Single Line 390 396 402 408 426 438 444 462 462 462

Individual Lines 252 324 348 372 402 462 462 510 558 600

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.