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xxMikexx [17]
3 years ago
7

Select the best answer.

Mathematics
1 answer:
Tanzania [10]3 years ago
7 0

Answer:

E

Step-by-step explanation:

As you need a 47%, you universe of numbers should be form 0 to 99 (or 1 to 100, the important fact is you need 100 numbers). With this, you can discard A and D. You can also discard C, as you need 47 good realizations as you probability is 47%, and C gives you 48 (00 also counts)

You need as many observations as you can, to get a more consistent estimation. This means, as many observations as you can.  You could use B or E, because both have 47 good observations (for u), but E gives you a larger sample.

If you are trying to get a head with 50% throwing a dime, you will, statistically, do better throwing it 47 times than only 10 times.

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Answer:

The  width is  w = \$ 729.7

Step-by-step explanation:

From the question we are told that

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Given that the confidence level is  99% then the level of significance is mathematically represented as  

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=>            \alpha  =  1\%

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             Z_{\frac{\alpha }{2} } = Z_{\frac{0.01 }{2} } =  2.58

Generally margin of error is mathematically represented as

             E =  Z_{\frac{\alpha }{2} *  \frac{\sigma }{\sqrt{n} }

substituting values

              E = 2.58 *  \frac{1000 }{\sqrt{50} }

              E = 2.58 *  \frac{1000 }{\sqrt{50} }

               E = 364.9

The width of the 99% confidence interval is mathematically evaluated as

         w = 2 * E

substituting values

          w = 2 * 364.9

          w = \$ 729.7

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