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Marta_Voda [28]
3 years ago
15

Find the critical value zα/2 that corresponds to a 93% confidence level.

Mathematics
1 answer:
harina [27]3 years ago
4 0
The critical value is used to compute the margin of error. (Margin of error = Critical value x Standard deviation of the statistic or <span>Margin of error = Critical value x Standard error of the statistic).
If the statistic has normal sampling distribution, then the t</span><span>he critical value can be expressed as a </span>t score<span> or as a </span>z score<span>. 
</span><span>α = 1 - (confidence level / 100)
</span><span>α = 1 - (93 / 100)=1-0.93=0.07
</span>The critical probability is: <span>pc= 1 - α/2  pc=1-0.035=0.965
The critical value is 1.81.
</span>
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Given that set A has 48 elements and set B has 21 elements, determine each of the following. (a) The maximum possible number of
yKpoI14uk [10]

Answer:  The required answers are

(a) 69,  (b) 21,  (c) 21  and  (d) 0.

Step-by-step explanation:  We are given that the set A has 48 elements and the set B has 21 elements.

(a) To determine the maximum possible number of elements in A ∪ B.

If the sets A and B are disjoint, that is they do not have any common element. Then, A ∩ B = { }   ⇒   n(A ∩ B) = 0.

From set theory, we have

n(A\cup B)=n(A)+n(B)-n(A\cap B)=48+21-0=69.

So, the maximum possible number of elements in  A ∪ B is 69.

(b) To determine the minimum possible number of elements in A ∪ B.

If the set B is a subset of set A, that is all the elements of set B are present in set A. Then,  n(A ∩ B) = 21.

From set theory, we have

n(A\cup B)=n(A)+n(B)-n(A\cap B)=48+21-21=48.

So, the minimum possible number of elements in  A ∪ B is 21.

(c) To determine the maximum possible number of elements in A ∩ B.

If the set B is a subset of set A, that is all the elements of set B are present in set A. Then, n(A ∩ B) = 21.

So, the maximum possible number of elements in  A ∩ B is 21.

(d) To determine the minimum possible number of elements in A ∩ B.

If the sets A and B are disjoint, that is there is no common element in the sets A and B . Then,  n(A ∩ B) = 0.

So, the maximum possible number of elements in  A ∩ B is 0.

Thus, the required answers are

(a) 69,  (b) 21,  (c) 21  and  (d) 0.

6 0
3 years ago
How do you do number 2? Help please and thank you.
Dmitrij [34]

Answer:

{3,-1}

Step-by-step explanation:

m^2 -2m -3=0

What 2 numbers multiply to -3 and add to negative 2

-3* 1 = -3

-3 +1 =-2

(m-3) (m+1) =0

Using the zero product property

m-3 = 0  m+1 =0

m=3        m=-1

{3,-1}

6 0
3 years ago
Where to locate the nonnegative abscissa, positive ordinate
Fofino [41]
The location to the nonegative abscissa, positive ordinate is in the Q1 it means it is in the fisrt quadrant as seen in the next image: http://www.mathnstuff.com/math/spoken/here/1words/q/q2.htm
Hope this helps
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3 years ago
Using the following image, find GH given HI = 1 and GI =<br> = 9.
shepuryov [24]

Answer:

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Step-by-step explanation:

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3 years ago
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What is the bases, height, perimeter, and the area from the trapezoid​?<br><br>please help me
Sergio039 [100]

Answer:

base : 30 cm

height : 20 cm

perimeter : 92 cm

Area          :  400 cm

Step-by-step explanation:

base : 30 cm

height : 20 cm

perimeter : 27 + 30 + 25 + 10

                 : 92 cm

Area : (1/2 ( a + b) ) x h

        : (1/2 ( 10 + 30) ) x 20

        : (20) x 20

        : 400 cm

3 0
3 years ago
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