1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Sloan [31]
3 years ago
5

If you are a dog lover, having your dog with you may reduce your stress level. Does having a friend with you reduce stress? To e

xamine the effect of pets and friends in stressful situations, researchers recruited 45 women who said they were dog lovers. Fifteen women were assigned at random to each of three groups: to do a stressful task alone, with a good friend present, or with their dogs present. The stressful task was to count backward by 13s or 17s. The woman's average heart rate during the task was one measure of the effect of stress. The table below shows the data. Pet 58 64 65 68 69 69 69 70 70 72 76 79 85 86 99 Erlento BOSTE STR88800192 87888 12 072702 Alone 62 70 73 75 77 80 84 84 84 87 87 87 90 91 99
1. Use the rule to show that 99 is an outlier for the Pet group.

2. Use the applet to make parallel boxplots to compare the heart rates in the three groups.​
Mathematics
1 answer:
Pepsi [2]3 years ago
5 0

The outlier of a dataset is a data element that is relatively far from the remaining data elements

  • <em>99 is an outlier of pet group</em>
  • <em>See attachment for the parallel box plots</em>

<u>(a) Prove that 99 is an outlier for Pet</u>

We have:

<em>Pets: 58 64 65 68 69 69 69 70 70 72 76 79 85 86 99</em>

n = 15

The quartiles positions are:

Q_1 = \frac{n + 1}{4}

Q_1 = \frac{15 + 1}{4}

Q_1 = \frac{16}{4}

Q_1 = 4th

Q_3 = Q_1 \times 3

Q_3 = 4th \times 3

Q_3 = 12th

So, we have:

Q_1 = 4th

Q_3 = 12th

From the pet group:

The data elements at the 4th and 12th positions are 68 and 79

So, we have:

Q_1 = 68

Q_3= 79

The lower and upper limits of the outlier are:

L = Q_1 - 1.5 \times (Q_3 - Q_1)

U = Q_3 + 1.5 \times (Q_3 - Q_1)

So, we have:

L = 68 - 1.5 \times (79 - 68)

L = 51.5

U = 79+ 1.5 \times (79 - 68)

U = 95.5

This means that data below 51.5 or above 95.5 are outliers.

<em>Hence, 99 is an outlier because 99 is greater than 95.5</em>

<u>(b) The parallel box plot</u>

The three groups are:

<em>Pets: 58 64 65 68 69 69 69 70 70 72 76 79 85 86 99</em>

<em>Erlento: 88 80 80 81 92 87 88 81 82 80 87 92 87 80 82 </em>

<em>Alone: 62 70 73 75 77 80 84 84 84 87 87 87 90 91 99</em>

<em />

See attachment for the parallel box plots

Read more about box plots and outliers at:

brainly.com/question/14940764

You might be interested in
You bought a magazine for $5 and four erasers. You spent a total of $25. How much did each eraser cost? Include a let statement
ZanzabumX [31]

Answer:

5$??.

Step-by-step explanation:

If a magazine was 5$, 25-5= 20. So then, 20÷4= 5. There fore an eraser costs 5$.

3 0
3 years ago
Read 2 more answers
Rewrite the polynomial 2x2 + x + +-7x + 1 in standard form.​
sveticcg [70]

Answer:

x-7x+5

Step-by-step explanation:

4+x-7x+1

x-7x+5

3 0
2 years ago
the animal shelter has space for 800 animals there were already 468 animals at the shelter after a storm a hundred ninety two mo
Anna007 [38]

Answer:

It is reasonable.

Step-by-step explanation:

If you add 468 (amount of animals already there) and add how ever many more coming (192) then you'll get 680. If you add 100 more that will only be 780 animals.

6 0
3 years ago
Perez Corporation has the following financial data for the years 20X1 and 20X2: 20X1 20X2 Sales $ 3,472,500 $ 4,462,500 Cost of
Artyom0805 [142]

Answer: a) For 20X1 = 7.50; 20X2= 7.50

b) For 20X1 = 5.50; 20X2= 6.00

Step-by-step explanation:

Explanation is attached.

Give me brainliest, thanks

5 0
3 years ago
What instrument is used to measure milliliters
almond37 [142]
Measuring cups
 that should be correct

3 0
3 years ago
Read 2 more answers
Other questions:
  • Thirty percent of a radioactive substance decays in four years.
    7·1 answer
  • Write an equation in slope–intercept form for a line that passes through (4, 0) and is perpendicular to y = –2x.
    13·1 answer
  • Use basic trigonometric identities to simplify the expression: sin (-x) cos (-x) csc (-x) =?
    6·2 answers
  • Graph the region of solution of the given linear inequality<br><br> x&gt;7
    10·1 answer
  • After being dropped from a platform, a ball bounces several times. The graph shows the height of the ball after each bounce.
    6·1 answer
  • Place the following numbers in order from least to greatest.
    15·2 answers
  • G(x) =2x h(x) =x²+4 find (h°g) (-2)
    7·1 answer
  • Help me once more please
    8·1 answer
  • Sin( X+Y ) = cos( X−Y ) = 1,<br> find the value of X and Y.
    9·1 answer
  • How can ΔABC be mapped to ΔXYZ?
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!