Thinking—Level 2 Get Started! Exit A farm raises cows and chickens. The farmer has a total of 40 animals. One day he counts the
1 answer:
Answer:
21 pieces of chickens.
Step-by-step explanation:
Given:
The farmer has a total of 40 animals. ( cows and chicken )
He counts the legs of all his animals and realizes he has a total of 118 legs.
Question asked:
How many chickens does the farmer have ?
Solution:
Let number of chickens =
Then number of cows =
Now, as here given that total number of legs are 118 of all the animals, and as we know that a chicken has two legs and cow has four legs, hence the equation will be :
<u>Total number of legs = Number of legs having chickens + Number of legs having cows</u>
Subtracting both sides by 160
By adding both sides by minus
By dividing both sides by 2
Hence, farmer have 21 pieces of chickens.
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Answer:
The 95% confidence interval would be given by (122;138)
And the correct interpretation for this case is:
c. If the procedure were repeated many times, 95% of the resulting confidence intervals would contain the population mean systolic blood pressure.
Step-by-step explanation:
Previous concepts
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % where by a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
Solution to the problem
The confidence interval for the mean is given by the following formula:
(1)
In order to calculate the critical value we need to find first the degrees of freedom, given by:
Since the Confidence is 0.95 or 95%, the value of and
, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,24)".And we see that
Now we have everything in order to replace into formula (1), for this case we got:
The 95% confidence interval would be given by (122;138)
And the correct interpretation for this case is:
c. If the procedure were repeated many times, 95% of the resulting confidence intervals would contain the population mean systolic blood pressure.