Sam is 27 years old. His age is 6 years greater than 3 times Brandon's age. Which method

Complete parts (a) through (c) below. (a) Determine the critical value(s) for a right-tailed test of a population mean at t

olga_2 [115]

Answer:

a) The critical value on this case would be $t_{crit}=1.325$

b) The critical value on this case would be $t_{crit}=-1.345$

c) The critical values on this case would be $t_{crit}=\pm 2.201$

Step-by-step explanation:

Part a

The system of hypothesis on this case would be:

Null hypothesis: $\mu \leq \mu_0$

Alternative hypothesis: $\mu > \mu_0$

Where $\mu_0$ is the value that we want to test.

In order to find the critical value we need to find first the degrees of freedom, on this case that is given df=20. Since its an upper tailed test we need to find a value a such that:

$P(t_{20}>a) = 0.1$

And we can use excel in order to find this value with this function: "=T.INV(0.9,20)". The 0.9 is because we have 0.9 of the area on the left tail and 0.1 on the right.

The critical value on this case would be $t_{crit}=1.325$

Part b

The system of hypothesis on this case would be:

Null hypothesis: $\mu \geq \mu_0$

Alternative hypothesis: $\mu < \mu_0$

Where $\mu_0$ is the value that we want to test.

In order to find the critical value we need to find first the degrees of freedom, given by:

$df=n-1=15-1=14$

Since its an lower tailed test we need to find b value a such that:

$P(t_{14}$

And we can use excel in order to find this value with this function: "=T.INV(0.1,14)". The 0.1 is because we have 0.1 of the area accumulated on the left of the distribution.

The critical value on this case would be $t_{crit}=-1.345$

Part c

The system of hypothesis on this case would be:

Null hypothesis: $\mu = \mu_0$

Alternative hypothesis: $\mu \neq \mu_0$

Where $\mu_0$ is the value that we want to test.

In order to find the critical value we need to find first the degrees of freedom, given by:

$df=n-1=12-1=11$

Since its a two tailed test we need to find c value a such that:

$P(t_{11}>c) = 0.025$ or $P(t_{11}$

And we can use excel in order to find this value with this function: "=T.INV(0.025,11)". The 0.025 is because we have 0.025 of the area on each tail.

The critical values on this case would be $t_{crit}=\pm 2.201$

5 0

3 years ago

A library has 15,000 fiction books and 8,800 nonfiction books.

algol [13]

Answer:3360

Step-by-step explanation:

7 0

3 years ago

Which of the following polynomials has an even degree and a negative leading coefficient?

spin [16.1K]

Using limits, the polynomial that has an even degree and a negative leading coefficient is:

Polynomial going down from the left and passing through the point negative 7 comma 0 and going to a local minimum and then going up through the point negative 3 comma 0 and 0 comma 8 to a local maximum and then down to the right through the point 4 comma 0.

<h3>What is a limit?</h3>

A limit is given by the value of function f(x) as x tends to a value.

In this problem, to find the polynomial, we have to find the limits as x goes to infinity, hence:

$\lim_{x \rightarrow -\infty} f(x) = [tex]\lim_{x \rightarrow -\infty} -a x^n$

Since n is even, we have that:

$\lim_{x \rightarrow -\infty} -a (-\infty)^n = -a \times \infty = -\infty$

$\lim_{x \rightarrow \infty} -a (\infty)^n = -a \times \infty = -\infty$

Since it goes down to the left and down to the right, hence the function is:

Polynomial going down from the left and passing through the point negative 7 comma 0 and going to a local minimum and then going up through the point negative 3 comma 0 and 0 comma 8 to a local maximum and then down to the right through the point 4 comma 0.

More can be learned about limits at brainly.com/question/26270080

#SPJ1

4 0

1 year ago

what is the point-slope form of the equation of a line that passes through the point (3,5) and has the slope of 2? A)y+3=2(x+5)

lara31 [8.8K]

Point-slope form
y-y₀=m.(x-x₀)
P(3,5)
m=2

y-5=2(x-3)

3 0

3 years ago

F(x)=2x+3 g(x)=x-4 Find (f+g)(2)<br> Please help asappp

bulgar [2K]

Answer:

(f+g)(2)=5

Step-by-step explanation:

Subsitute 2 in for x in both functions. Then add the answers of the functions together.

3 0

2 years ago