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
Oxana [17]
3 years ago
7

g A popular theory is that presidential candidates have an advantage if they are taller than their main opponents. Listed are he

ights​ (in centimeters) of randomly selected presidents along with the heights of their main opponents. Complete parts​ (a) and​ (b) below. Height (cm )of President 191 180 180 182 197 180 Height (cm )of Main Opponent 166 179 168 183 194 186 a. Use the sample data with a 0.05 significance level to test the claim that for the population of heights for presidents and their main​ opponents, the differences have a mean greater than 0 cm. In this​ example, mu Subscript d is the mean value of the differences d for the population of all pairs of​ data, where each individual difference d is defined as the​ president's height minus their main​ opponent's height. What are the null and alternative hypotheses for the hypothesis​ test?
Mathematics
1 answer:
stira [4]3 years ago
5 0

Answer:

Step-by-step explanation:

Corresponding heights of presidents and height of their main opponents form matched pairs.

The data for the test are the differences between the heights.

μd = the​ president's height minus their main​ opponent's height.

President's height. main opp diff

191. 166. 25

180. 179. 1

180. 168. 12

182. 183. - 1

197. 194. 3

180. 186. - 6

Sample mean, xd

= (25 + 1 + 12 - 1 + 3 + 6)/6 = 5.67

xd = 5.67

Standard deviation = √(summation(x - mean)²/n

n = 6

Summation(x - mean)² = (25 - 5.67)^2 + (1 - 5.67)^2 + (12 - 5.67)^2+ (- 1 - 5.67)^2 + (3 - 5.67)^2 + (- 6 - 5.67)^2 = 623.3334

Standard deviation = √(623.3334/6 sd = 10.19

For the null hypothesis

H0: μd ≥ 0

For the alternative hypothesis

H1: μd < 0

The distribution is a students t. Therefore, degree of freedom, df = n - 1 = 6 - 1 = 5

The formula for determining the test statistic is

t = (xd - μd)/(sd/√n)

t = (5.67 - 0)/(10.19/√6)

t = 1.36

We would determine the probability value by using the t test calculator.

p = 0.12

Since alpha, 0.05 < than the p value, 0.12, then we would fail to reject the null hypothesis.

Therefore, at 5% significance level, we can conclude that for the population of heights for presidents and their main​ opponents, the differences have a mean greater than 0 cm.

You might be interested in
What is the sequence steps of finding the median?
mote1985 [20]

Step 1: Put the numbers in numerical order from smallest to largest. Step 2: If there is an odd number of numbers, locate the middle number so that there is an equal number of values to the left and to the right.

5 0
3 years ago
Twelve toy turtles run a race. Each turtle is numbered from 1 to 13. A turtle can move forward one step whenever their number is
Fofino [41]

The turtle that would most likely win the race is the turtle 7

<h3>How to determine the turtle with the most chance?</h3>

The turtles are given as:

Turtle = 1 to 13

When two dice are rolled and the sum of the outcomes are taken, the sample space is:

<u>Outcome   Frequency</u>

2                    1

3                    2

4                    3

5                   4

6                   5

7                    6

8                    5

9                    4

10                   3

11                    2

12                    1

The outcome 7 has the highest frequency of 6

This means that the turtle 7 has the highest chance of winning the race

Read more about probability at:

brainly.com/question/25870256

#SPJ1

4 0
1 year ago
Tyler has 45% of his pay check remaining. What fraction of his pay check does he have remaining?
Andreyy89

Answer:

If he has 45% of his cheak remaining we already have the remaining so we just to turn it into a fraction

First we put it over 100

<u>45</u>

100

Then we reduce it to the lowest terms

which would be

9/20

7 0
3 years ago
Read 2 more answers
The equation y = 1.55x + 110,419 approximates the total cost, in dollars, of raising a child in the United States from birth to
Rufina [12.5K]

Answer:

194119

Step-by-step explanation:

well, just plug in your number!

y = 1.55*54000 + 110419

4 0
3 years ago
What is the height of the ramp shown? (Measurements are in feet)
SOVA2 [1]

Answer:

8.9 ft. (Option C)

Step-by-step explanation:

Here, we are given a right angled triangle. We are asked to find the value of perpendicular (y).

We'll be using pythagoras property.

According to the pythagoras property, sum of the squares of base and perpendicular is equivalent to the square of hypotenuse.

Here,

  • Hypotenuse = 12 ft
  • Base = 8 ft
  • Perpendicular (y) = ?

→ H² = B² + P²

→ H² - B² = P²

→ (12 ft)² - (8 ft)² = y²

→ 144 ft² - 64 ft² = y²

→ 80 ft² = y²

→ √(80 ft²) = y

→ 8.94427191 ft = y

→ <u>8.9</u><u> </u><u>ft</u><u> = y</u>

\therefore <u>Value</u><u> </u><u>of</u><u> </u><u>y</u><u> </u><u>is</u><u> </u><u>8</u><u>.</u><u>9</u><u>.</u><u> </u><u>(</u><u>Option </u><u>c</u><u>)</u>

7 0
2 years ago
Other questions:
  • Eight thousand six and thirty-four thousandths<br> * Write as a decimal
    15·1 answer
  • The two-way table below describes the quality of sweatshirts and T-shirts screen printed at a local store.
    13·2 answers
  • Please please use explanation with answer
    15·1 answer
  • Interpret the following sine regression model.
    13·1 answer
  • A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is
    6·1 answer
  • To convert centimeters to millimeters, you must multiply by 10. Which shows the correct graph relating the length of an object i
    8·2 answers
  • Solve for e. T= e^2/9
    12·1 answer
  • Please help!! <br><br>look at the picture for the question​
    11·1 answer
  • noah does half as many push-ups as joseph. joshua does 3 times as many push-ups as joseph. they complete 324 altogether. How man
    10·1 answer
  • four times a number minus twice another number is -16 the sum of the two numbers is -1 find the numbers
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!