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ivanzaharov [21]
3 years ago
7

in order to use a normal distribution to calculate confidence intervals for p, what conditions on np and nq need to be satisfied

? Select one: a. n and q must be integers b. n must be positive c. np>10 and nq<0 d. np and nq must be > 5
Mathematics
1 answer:
ira [324]3 years ago
6 0
<span>In order to use a normal distribution to calculate confidence intervals for proportion, p, by the central limit theorem, the sample has to be sufficiently large.

This condition is determine by ensuring that np and nq > 5.

Therefore, the condition that must be satisfied is </span><span>np and nq must be > 5. (option d).</span>
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Answer:

No

Explanation:

The independent irrelevant alternative criterion is not violated here. The law of irrelevant alternative criterion holds that if candidate A is liked more than candidate B then a new candidate C who is liked less than candidate A should not spoil the victory of Candidate A, so that candidate B wins.

In the example in the question, candidate Parker was the preferred candidate before the elimination of candidate Myers and so will still be the winner of the election, therefore the irrelevant alternative criterion has not been violated.

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3 years ago
Danny Henry made a waffle on his six-inch-diameter circular griddle using batter containing a half a cup of flour. Using the sam
Mekhanik [1.2K]

Answer:

He'll need 288 cups to make a waffle on his 24 foot diameter circular griddle.

Step-by-step explanation:

In order to find out how much batter Danny needs we first need to compute the area of the first pans, since it is a circular pan their area is given by A = 2*pi*r. So we have:

Area of the first pan = 2*pi*(6/2) = 18.84 square inches

Area of the second pan = 2*pi*(24/2) = 75.36 square foots

We now need to convert these values to be in the same unit, we'll convert from square foots to square inches:

Area of the second pan = 75.36 * (12)^2 = 10851.84 square inches

We can now use a proportion knowing that the batter and the thickness of the waffles are the same. If 0.5 cup of flour can make a waffle on 18.84 square inches then x cup of flour can make a waffle on 10851.85 square inches. Writing this in a mathematical form, we have:

0.5/x = 18.84/10851.84

18.84x = 0.5*10851.85

x = 10851.85*0.5/18.84 =288 cups

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4 years ago
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Step-by-step explanation:

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