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Flauer [41]
2 years ago
4

The P​-value is the probability of getting a test statistic at least as extreme as the one representing the sample​ data, assumi

ng that​ ________.
Mathematics
1 answer:
abruzzese [7]2 years ago
5 0

Answer:

The P​-value is the probability of getting a test statistic at least as extreme as the one representing the sample​ data, assuming that <u>the null hypothesis is true.</u>

Step-by-step explanation:

The P​-value is the probability of getting a test statistic at least as extreme as the one representing the sample​ data, assuming that <u>the null hypothesis is true.</u>

The p-value is the probability that, if the null hypothesis were true,sampling variation would yield and estimate that is further away from the hypothesised value than our data estimate. The p-value shows us how possible it is to get a result like this if the null hypothesis is true.

Assuming we have a null hypothesis and an alternative hypothesis computed as follows.

H_o : \mu = 5 \\ \\ H_1 : \mu \neq 0.5

If P-value is less than or equal to \mu , we will reject the null hypothesis.

You might be interested in
Caleb has 1/3 of a watermelon. He cuts it into 4 equal pieces. What fraction of the watermelon is each piece
polet [3.4K]

Answer:

1/12 of the watermelon in each piece

Step-by-step explanation:

  1. We must divide 1/3 by 4.
  2. 1/3 divided by 4 is also 1/3 x 1/4.

The final answer is 1/12.



<em>I hope this helped!</em>

5 0
2 years ago
Read 2 more answers
Find the average speed of a plane that leaves Bristol at 14.00 and lands in Rome at 17.15.The distance is 1200 miles
horrorfan [7]
It is very important to go through all the details that have been provided in the question. These information's will come in very handy while getting to the solution for the answer. Now let us concentrate on the problem in hand.
Distance between Bristol and Rome that the plane covers = 1200 miles
Starting time of the plane from Bristol = 14:00 hrs
Landing time of the plane in Rome = 17:15 hrs
Then
Total time taken by the plane to travel from Bristol to Rome = 17:15 - 14:00 hours
                                                                                               = 3 .15 hours
So
The average speed of the plane = 1200/3.15 miles per hour
                                                    = 380.95 miles per hour
From the above deduction we can conclude that the average speed of the plane traveling from Bristol to Rome is 380.95 miles per hour.
6 0
2 years ago
a regular heptagon has a radius of approximately 27.87cm and the lengthof each side is 24.18cm. what is the approximate area of
Andre45 [30]
The Answer is B: 2,125 cm²


n = 7
a = 24.18 cm
r = 25.1051 cm
R = 27.8646 cm
A = 2124.65 cm²
P = 169.26 cm
x = 128.571 °
y = 51.4286 °


Agenda:
r = inradius (apothem)
R = circumradius 
a = side length
n = number of sides
x = interior angle
y = exterior angle 
A = area
P = perimeter
π = pi = 3.14159...
<span>√ = square root
</span>
Formula: A = (1/4)na2 cot(π/n) = nr2 tan(π/n)
3 0
2 years ago
Read 2 more answers
Two major automobile manufacturers have produced compact cars with engines of the same size. We are interested in determining wh
snow_tiger [21]

Answer:

Step-by-step explanation:

Corresponding fuel efficiencies of manufacturer A's car and manufacturer B's car form matched pairs.

The data for the test are the differences between the efficiencies of manufacturer A's car and manufacturer B's car

μd = fuel efficiency of manufacturer A's car minus the​ fuel efficiency of manufacturer B's car.

A B diff

32 28 4

27 22 5

26 27 - 1

26 24 2

25 24 1

29 25 4

31 28 3

25 27 - 2

Sample mean, xd

= (4 + 5 - 1 + 2 + 1 + 4 + 3 - 2)/8 = 2

xd = 2

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

n = 8

Summation(x - mean)² = (4 - 2)^2 + (5 - 2)^2 + (- 1 - 2)^2 + (2 - 2)^2 + (1 - 2)^2 + (4 - 2)^2 + (3 - 2)^2 + (- 2 - 2)^2 = 44

Standard deviation = √(44/8

sd = 2.35

For the null hypothesis

H0: μd = 0

For the alternative hypothesis

H1: μd ≠ 0

This is a two tailed test and the distribution is a students t. Therefore, degree of freedom, df = n - 1 = 8 - 1 = 7

2) The formula for determining the test statistic is

t = (xd - μd)/(sd/√n)

t = (2 - 0)/(2.35/√8)

t = 2.41

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

p = 0.047

Since alpha, 0.1 > the p value 0.047, then we would reject the null hypothesis. Therefore, at 1% significance level, we can conclude that there is a significant difference in the mean MPG (miles per gallon) when testing for the fuel efficiency of these two brands of automobiles.

6 0
2 years ago
Silva set up a dog-walking business. He earned $60 in June. He is projected to earn 110% more in July. How much is Silva project
snow_lady [41]

9514 1404 393

Answer:

  $126

Step-by-step explanation:

110% more than 100% is 210% of his June earnings:

  july = 2.10×$60 = $126

Silva is projected to make $126 in July.

_____

As always, you can think of % and /100 as being interchangeable.

  210% = 210/100 = 2.10

7 0
2 years ago
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