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3 years ago

12

Jeremy has a box of 500 nails that weighs 1.35 kilograms. He uses 60 nails to build a birdhouse. How much do the nails in the bi

rdhouse weigh?

1 answer:

madreJ [45]3 years ago

8 0

.162 kilograms?

How I got my answer:

1.35÷500=.0027

.0027×60=.162

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For this case we need to check the conditions in order to use the normal approximation:

1) $np = 60*0.3= 18>10$

2) $n(1-p) = 60*(1-0.3)= 42>10$

Since both conditions are satisfied and the independence condition is assumed we can use the normal approximation given by:

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Step-by-step explanation:

For this case we know the following info:

n =60 represent the sample size

$\hat p = 0.3$ represent the estimated proportion of people that will buy a packet of crackers after tasting

For this case we need to check the conditions in order to use the normal approximation:

1) $np = 60*0.3= 18>10$

2) $n(1-p) = 60*(1-0.3)= 42>10$

Since both conditions are satisfied and the independence condition is assumed we can use the normal approximation given by:

$\hat p \sim N (\hat p, \sqrt{\frac{\hat p(1-\hat p)}{n}})$

The mean would be given by:

$\mu_{\hat p}=0.3$

And the deviation is given by:

$\sigma_{\hat p}= \sqrt{\frac{0.3*(1-0.3)}{60}}= 0.0592$

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