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aleksandrvk [35]
3 years ago
12

Suppose we’re conducting a t-test for a population mean with the following hypotheses. LaTeX: H_0 H 0 : LaTeX: \mu=50 μ = 50 LaT

eX: H_a H a : LaTeX: \mu\ne50 μ ≠ 50 A sample of size 30 has a t-statistic of LaTeX: -2.43 − 2.43 . Find the corresponding P-value. Do not round.
Mathematics
1 answer:
blsea [12.9K]3 years ago
5 0

Answer: 0.02055867

Step-by-step explanation:

Given : H_0: \mu=50\\\\ H_a: \mu\neq 50, since the alternative hypothesis is two-tailed , so the test is a two tailed test.

Sample size : n= 30

Degree of freedom for t-distribution = df=n-1=30-1=29

Test statistic= t= -2.43

By using the normal t-distribution table ( or calculator ) , we have

The corresponding P-value for two tailed test = 0.02055867

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Consider a parallelogram with vertices at (0, 3), (2, 0), (4, 2), and (2, 5).
goldenfox [79]

Answer:

B

Step-by-step explanation:

So a reflection over the x is a change in the y value.

Only point (2,0) is on the x-axis, so it will not move.

4 0
2 years ago
Which of the following is the solution to 6/(x+2) = 5/4x?
Oliga [24]

Answer:

The answer to your question is     x = 10/19

Step-by-step explanation:

Equation

                      6 / (x + 2) = 5 / 4x

To solve this equation use cross multiplication

                      6(4x) = 5(x + 2)

Simplify

                     24x = 5x + 10

Subtract 5x in both sides of the equation

                     24x - 5x = 5x - 5x + 10

Simplify

                     19x = 10

Divide by 19 both sides

                     19x/19 = 10/19

Simplify

                         x = 10/19

6 0
3 years ago
Twelve percent of U.S. residents are in their forties. Consider a group of nine U.S. residents selected at random. Find the prob
miskamm [114]

Answer:

The probability is 28 % ( approx )

Step-by-step explanation:

Since, there are only two possible outcomes in every trails ( residents are in their forties or not ),

So, this is a binomial distribution,

Binomial distribution formula,

Probability of success in x trials,

P(x)=^nC_x p^x q^{n-x}

Where, ^nC_x=\frac{n!}{x!(n-x)!}

p and q are probability of success and failure respectively and n is the total number of trials.

Let X be the event of resident who are in his or her forties.

Here, p = 12% = 0.12,

⇒ q = 1 - p = 1 - 0.12 = 0.88,

n = 9,

Hence, the probability that two or three of the people in the group are in their forties = P(X=2) + P(X=3)

^9C_2 (0.12)^2 (0.88)^{9-2}+^9C_3 (0.12)^3 (0.88)^{9-3}

=36(0.12)^2 (0.88)^7+84(0.12)^3 (0.88)^6

=0.279266611163

\approx 0.28

=28\%

7 0
3 years ago
Picture of math assignment
n200080 [17]

Answer:

{5}^{ - 7}

Step-by-step explanation:

You have to use the property of quotient of powers, you subtract the power of the fraction denominator from the numerator

6 0
3 years ago
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What is the measure in degree of an angel that represents 50/350 of a circle ​
lawyer [7]

Answer:

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if 50/350 it is about 50/350*360 = 51.429 degrees

7 0
3 years ago
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