A sample mean, sample size, and population standard deviation are given. Use the one-mean z-test to perform the required hypothesis test at the given significance level. Use the critical -value approach.= 20.5, n = 11 , σ = 7, H0: μ = 18.7; Ha: μ ≠ 18.7, α = 0.01

Answers

Answer 1
Answer:

Answer:

 Z = 0.8528 < 2.576

The calculated value Z = 0.8528 < 2.576 at 0.01 level of significance

Null hypothesis is Accepted at 0.01 level of significance.

There is no significance difference between the means

Step-by-step explanation:

Given data

size of the sample 'n' = 11

mean of the sample x⁻ =20.5

Mean of the Population μ = 18.7

Standard deviation of Population σ = 7

Test statistic

                  Z = (x^(-) -mean)/((S.D)/(√(n) ) )

                  Z = (20.5 -18.7)/((7)/(√(11) ) )

                  Z = (1.8)/(2.1105)

                  Z = 0.8528

critical Value

Z_{(\alpha )/(2) } = Z_{(0.01)/(2) } = Z_(0.005) = 2.576

The calculated value Z = 0.8528 < 2.576 at 0.01 level of significance

Null hypothesis is Accepted at 0.01 level of significance.

There is no significance difference between the means

Answer 2
Answer:

Answer:Answer:

B. 18.7 ± 9.7

Step-by-step explanation:


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Solve the given system using the method of Example 3.25. x1 − x2 = 1 3x1 + x2 = 3 x = 1 0 Correct: Your answer is correct.

Answers

Answer:

x_1 = 1

x_2=0

Step-by-step explanation:

The question is incomplete as the method is not given.

However, the question can still be solved.

Given

x_1 - x_2 = 1

3x_1 + x_2 = 3

Make xi the subject in the first equation

x_1 = 1 + x_2

Substitute 1 + x2 for xi in the second equation

3(1+x_2)+x_2 = 3

Open bracket

3+3x_2+x_2=3

3+4x_2=3

Collect Like Terms

4x_2 = 3-3

4x_2 =0

Solve for x2

x_2=0/4

x_2=0

Recall that:

x_1 = 1 + x_2

x_1 = 1+0

x_1 = 1

Final answer:

The solution to the given system of equations is obtained through substitution. The process involves replacing a variable in one equation with an expression from the other. The final solutions are x1=1 and x2=0.

Explanation:

The system of equations in question is:

1) x1 - x2 = 1

2) 3x1 + x2 = 3

The method to solve this system is through substitution or elimination. First, rewrite the first equation x1 = x2 + 1. This allows us to substitute x1 - 1 for x2 in the second equation, yielding 3(x2 + 1) + x2 = 3, simplifying to 4x2 + 3 = 3. Solving for x2, we get x2 = 0. Substituting x2 into x1 = x2 + 1, we conclude that x1 = 1. Thus, the solution to the system is x1 = 1, x2 = 0.

Learn more about System of Equations here:

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Answers

Answer-44


You can turn both of the denominators ( bottom numbers on the fractions ) into 120 ( the whole number ) and the top numbers can be multiplied by how many times the denominators went into 120. Then add the top numbers which equals 76 and then 120-76=44. Hope that kinda helps !!

Estimate 2/3% of $141

Answers

Answer:

0.94 cents

Step-by-step explanation:

If you multiply 0.67 with 141 you will see that you will end up with the same answer as above.

0.666 estimates to 0.67

How do you do this question?

Answers

For A to B, or segment AB, we have the points (1,1) and (4,3). (x1, y1) = (1,1) and (x2, y2) = (4,3);

x = 1 + t(4 - 1)

y = 1 + t(3 - 1)

A to B => (x = 1 + 3t, y = 1 + 2t)

We can apply a similar process for BC and AC. For BC we have (x1, y1) = (4,3) and (x2,y2) = (1,7);

x = 4 + t(1 - 4)

y = 3 + t(7 - 3)

B to C => (x = 4 - 3t, y = 3 + 4t)

(x1, y1) = (1, 1) and (x2, y2) = (1, 7);

x = 1 + t(1 - 1)

y = 1 + t(7 - 1)

A to C => (x = 1, y = 1 + 6t)

Here is your graph of the triangle. Desmos is a really great tool to use;

Triangle DEF is reflected over the y-axis, and then translated down 4 units and right 3 units. Which congruency statement describes the figures?ΔDEF ≅ ΔSUR
ΔDEF ≅ ΔSRU
ΔDEF ≅ ΔRSU
ΔDEF ≅ ΔRUS

Answers

The point D transformed into S
The point E transformed into R
The point F transformed into U

The lengths are angles didn't change as result of the transformations (rotation and translation do not change the shape nor dimensions).  Then, the resulting triangle is congruent to the original triangle.

Using the same order for the letters, you might say that ΔDEF ≅ ΔSRU

Answer: B.)   ΔDEF ≅ ΔSRU

Step-by-step explanation:

The answer is correct on Edge.

If j and k are intersecting lines, A and B are points on j, and C and D are points on k, how many planes contain points A, B, C, and D? A. Infinitely many
B. We can't determine from the given information.
C. Exactly one
D. None

Answers

The correct answer to this question is letter "B. We can't determine from the given information."

Using the information as stated, "If j and k are intersecting lines, A and B are points on j, and C and D are points on k," the number of planes that contain points A, B, C, and D cannot be determined because of the lack of information.