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notsponge [240]
4 years ago
11

according to a food and drug administration (FDA) study, a cup of coffee contains an average of 115 mg of caffeine, with the amo

unt per cup ranging from 60-180 mg. suppose u want to repeat the FDA experiment in order to obtain an estimate of the mean caffeine content in a cup of coffee correct to withing 5 mg with 95% confidence. how many cups of coffee would have be included in your sample?
Mathematics
1 answer:
Nady [450]4 years ago
7 0

Answer: 139

Step-by-step explanation:

As per given , we have

The amount of caffeine per cup is ranging from 60-180 mg.

Range = Maximum - Minimum = 180 -60 =12

According to Range -rule ,

Standard deviation = s\approx\dfrac{Range}{4}=\dfrac{120}{4}=30

Formula for sample size : n=(\dfrac{z^*\times s}{E})^2 , where z* is critical z value and E is margin of error.

By z-table , the critical z-value for 95% confidence interval = 1.96

E= 5

Put all values in formula , we get

n=(\dfrac{(1.96)\times 30}{5})^2=138.2976\approx139

Hence, 139 cups of coffee would have be included in the sample.

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Answer:

<h3>The percentage is <u>60%</u> of the total amount paid with the gift card. </h3>

Step-by-step explanation:

Given:

Total worth of clothing is $178.25 and the amount paid with cash is $71.30.

Let us find the part of amount  paid with the gift card:

Amount of gift card(G) = Total worth(T) - Amount paid in cash(C).

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G\ =\ 106.95.

So, the amount paid with the gift card is $106.95.

Now, according to question:

\frac{106.95}{178.25}\times100

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Therefore, the percentage is <u>60%</u> of the total amount paid with the gift card.

6 0
3 years ago
Markus was given dollar bills from his grandfather each day for one week. On the first day he received $1, on the second day he
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Answer:  $127.00

Step-by-step explanation:

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4 0
3 years ago
A radioactive substance decays according to the formula A=A0e^kt
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