Dan is watching the birds in his backyard he watches none of them or 45% are sparrows how many birds are in his backyard
1 answer:
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Answer:
a) In order to check if an estimator is unbiased we need to check this condition:
And we can find the expected value of each estimator like this:
So then we conclude that is unbiased.
For the second estimator we have this:
And then we conclude that is unbiaed too.
b) For this case first we need to find the variance of each estimator:
And for the second estimator we have this:
And the relative efficiency is given by:
Step-by-step explanation:
For this case we assume that we have a random sample given by: and each
Part a
In order to check if an estimator is unbiased we need to check this condition:
And we can find the expected value of each estimator like this:
So then we conclude that is unbiased.
For the second estimator we have this:
And then we conclude that is unbiaed too.
Part b
For this case first we need to find the variance of each estimator:
And for the second estimator we have this:
And the relative efficiency is given by:
Answer:
56 chewable tablets
280mL liquid Benadryl
Step-by-step explanation:
For the first part:
First we need to find out how many tablets of 12.5mg would we need per dose.
1 dose is 25 mg and the tablets are in 12.5 mg form.
That would mean you would need 2 tablets per dose.
Next you need to calculate how many times a day it needs to be taken. A day has 24 hours and it needs to be taken every 6 hours. Just divide 24 hours by 6 hours. So that would mean that it needs to be taken 4 times a day.
Next we need to see how many times a week it should be taken and you can get that by multiplying the number of times a day by the number of days a week.
4 x 7 = 28 times
Lastly, you multiply the number of times a week by the number of tablets per dose.
28 times a week x 2 tablets = 56 tablets.
For the second part:
12.5 mg/5mL
The needed dose is 25 mg so we need to find how many mL is needed for 25 mg. 12.5mg is only have of 25 mg we need to double it to attain the correct dosage.
x
=
This means that for every 25 mg, you will need to give 10mL.
Again we do the same procedure as the first to decide how much liquid Benadryl you need to give in a week. We know that based on the previous that we need to administer this 28 times a week, so just multiply the number of mL per dose by the number of times per week.
10mL x 28 = 280mL