Find the midpoint of AC if A is located at (-4,9) and C is located at (1,31)

he mean age of bus drivers in Chicago is greater than 54.4 years. If a hypothesis test is performed, how should you interpret a

Natalka [10]

Answer:

There is not sufficient evidence to support the claim μ > 54.4.

Step-by-step explanation:

1) Previous concepts

A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".

The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".

The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".

2) Solution to the problem

On this case we want to test is $\mu>54.4$ and the system of hypothesi on this case are:

Null Hypothesis: $\mu \leq 54.4$

Alternative hypothesis: $\mu >54.4$

On this case is our decision is FAILS to reject the null hypothesis then we can conclude that we don't have enough evidence to support the claim at the significance level provided. So the correct conclusion would be:

There is not sufficient evidence to support the claim μ > 54.4.

8 0

3 years ago

The length of time for one individual to be served at a cafeteria is a random variable having an exponential distribution with a

Leya [2.2K]

Answer:

a) 0.25

b) 52.76% probability that a person waits for less than 3 minutes

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

$f(x) = \lambda e^{-\lambda x}$

In which $\lambda = \frac{1}{m}$ is the decay parameter.

The probability that x is lower or equal to a is given by:

$P(X \leq x) = \int\limits^a_0 {f(x)} \, dx$

Which has the following solution:

$P(X \leq x) = 1 - e^{-\mu x}$

The probability of finding a value higher than x is:

$P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}$

In this question:

$m = 4$

a. Find the value of λ.

$\lambda = \frac{1}{m} = \frac{1}{4} = 0.25$

b. What is the probability that a person waits for less than 3 minutes?

$P(X \leq 3) = 1 - e^{-0.25*3} = 0.5276$

52.76% probability that a person waits for less than 3 minutes

3 0

2 years ago

Which measurement is not equal 51 centimeters

AlladinOne [14]

A isn't equal to 51 centimeters

HOPE THIS HELPS :)

8 0

2 years ago

0.135 written as a fraction

OleMash [197]

Answer:

135/1000

27/200

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

Solve 2x + 3y = 16 4x+10y = 40

Aleksandr-060686 [28]

Answer:

x = 5, y = 2

Step-by-step explanation:

First, find the value of x in respect to y:

2x + 3y = 16
2x = 16 - 3y

x = 8 - 3/2y

Then, substitute this expression into the second equation (Since we've established x is equal to 8 - 3/2y, we can put that in place of x):

4(8 - 3/2y) + 10y = 40

Then, distribute and solve for y:

32 - 6y + 10y = 40
32 + 4y = 40
4y = 8
y = 2

Now that we know what y equals, we can substitute the value of y in the equation to find x:
2x + 3(2) = 16
2x + 6 = 16
2x = 10

x = 5

8 0

2 years ago