A hypothesis will be used to test that a population mean equals 7 against the alternative that the population mean does not equal 7 with known variance σ. What are the critical values for the test statistic Upper Z Subscript 0 for the significance level of 0.04? Round your answer to two decimal places (e.g. 98.76).

Answers

Answer 1

Answer:

The upper critical value z₀ of the hypothesis is 2.05.

How to explain the hypothesis?

From the information given, it can be noted that this is a two-sided test. In this case, the critical values are the values of z that determine the boundaries of whether one should reject the null hypothesis or shouldn't.

Since the significance level is 0.04, it simply implies that there is a p-value of 0.02. Then, the next thing is to check the normal distribution table, and this corresponds to the z value of 2.05.

In conclusion, the correct option is 2.05.

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Answer 2

Answer:

Answer:

The upper critical value z₀ is 2.05.

Step-by-step explanation:

For a two-sided test like this (the mean can be significantlt greater or smaller than 7 to reject the null hypothesis), the critical values are the values of z that determine the boundaries of rejecting or not the null hypothesis.

If the significance level is 0.04, it means that there is a P-value of 0.02 for z larger than the upper critical value z₀.

$P(z>z_0)=\alpha /2= 0.02$

If we look up in a normal distribution table, the z value that corresponds to this probability is z=2.05.

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The length of a rectangle is 2x - 3 feet, and the width is 5 feet. What is the area of the rectangle in square feet?A. 7x – 15B. 10x – 15C. 10x - 8D. 7x-8

Help please asp. !!!

Answers

9514 1404 393

Answer:

(d) 101,376 square inches

Step-by-step explanation:

At $5.50 each, Larry can afford ...

$485/($5.50/board) ≈ 88.2 boards

Each of the 88 boards is 8 inches wide and 144 inches long, so the total area Larry can afford to cover is ...

(88)×(8 in)(144 in) = 101,376 in²

Help my please thanks

Answers

The rule of 180 degree rotation about the origin:
(x,y) --> (-x,-y)
so (3,0) --->(-3,0)

Answer
(-3,0)

Your answer is correct.

Emma uses 250 centimeters of crepe paper to make streamers. How many meters did Emma use

Answers

Answer:

2.5

Step-by-step explanation:

250 cm equals 2.5 m

Answer:

25 is what I got

Suppose that B1 and B2 are mutually exclusive and complementary events, such that P(B1 ) = .6 and P(B2) = .4. Consider another event A such that P(A | B1) = .2 and P(A | B2) = .5. Find P(A).

Answers

Answer:

So, we get that is P(A)=0.32.

Step-by-step explanation:

We know that:

$P(B_1)=0.6\n\nP(B_2)=0.4\n\nP(A|B_1)=0.2\n\nP(A|B_2)=0.5\n$

We have the formula for probability:

$P(A|B)=(P(A\cap B))/(P(B))\n\n\implies P(A\cap B)=P(A|B)\cdot P(B)$

So, we calculate:

$P(A\cap B_1)=P(A|B_1)\cdot P(B_1)\n\nP(A\cap B_1)=0.2\cdot 0.6=0.12\n\n\nP(A\cap B_2)=P(A|B_2)\cdot P(B_2)\n\nP(A\cap B_2)=0.5\cdot 0.4=0.2\n$

We calculate:

$P(A)=P((A\cap B_1)\cup(A\cap B_2))\n\nP(A)=P(A\cap B_1)+P(A\cap B_2)\n\nP(A)=0.12+0.2\n\nP(A)=0.32$

So, we get that is P(A)=0.32.

Final answer:

To find P(A), use the law of total probability given that B1 and B2 are mutually exclusive and complementary events. Substituting the provided values, P(A) = 0.32.

Explanation:

The question is asking us to calculate P(A), given the values for P(A | B1) and P(A | B2), and the knowledge that B1 and B2 are mutually exclusive and complementary events. In probability, if events B1 and B2 are mutually exclusive and complementary, this means that one and only one of them can occur, and their occurrence covers all possible outcomes. We can use the law of total probability to find the overall P(A). The law of total probability states that P(A) = P(A | B1) * P(B1) + P(A | B2) * P(B2). Plugging the provided values into this formula, we get P(A) = .2 * .6 + .5 * .4 = .12 + .2 = .32. Therefore, P(A) is .32.

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Of (x - 12)(3x + 4)?

Answers

Answer:

3x^2 - 32x - 48

Step-by-step explanation:

3x^2-36x+4x-48

3x^2 - 32x -48

In a right triangle the length of a hypotenuse is c and the length of one leg is a, and the length of the other leg is b, what is the value of b, ifc=2b, a=12?

Answers

b = 4√3

using Pythagoras' identity in the given triangle

c² = a² + b² ( substitute c = 2b and a = 12 into the equation )

(2b)² = 12² + b²

4b² = 144 + b² ( subtract b² from both sides )

4b² - b² = 144

3b² = 144 ( divide both sides by 3 )

b² = 48 ( take the square root of both sides )

b = √48 = √( 16 × 3 ) = √16 × √3 = 4√3 ' exact value '

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