Answer:
Step-by-step explanation:
The formula for determining confidence interval is expressed as
Confidence interval
= mean ± z × s/ √n
Where
z is the value of the z score
s = standard deviation
n = sample size
a) The 95% confidence level has a z value of 1.96
The 99% confidence level has a z value of 2.58
Since 99% confidence level z value is greater than 95% confidence level z value, if we input it into the formula, it will result to a higher confidence interval. So changing from a 95% confidence level to a 99% confidence level would make a confidence interval wider.
b) The √15 is smaller than the √350. This means that if we make use of the formula, √350 will give a lower confidence interval than that of √15. Therefore, the confidence interval would be narrower changing from a sample size of 15 to a sample size of 350.
c) Applying the formula, a standard deviation of 15 pounds would result to a lower confidence interval than a standard deviation of 20 pounds. Therefore, the confidence interval would be wider changing from a standard deviation of 15 pounds to a standard deviation of 20 pounds.
Answer:
Time taken to elapse the remaining $861 = 10.25 days
Step-by-step explanation:
Assuming that I am spending at a rate of -x dollars per day
Let initial amount be A
The rate of expenditure = 1281-861/5 = 84 dollars per day
Time taken to elapse the remaining $861 = $861/$84 per day
= 10.25 days
Answer:
P(X=3) = 0.2013
Step-by-step explanation:
After taking and tagging the first 20 birds, then we have a proportion of 20% of tagged birds within the population, that is


Supposing that the probability (0.20) of capturing a bird <em>remains constant</em>, we may resolve it as it follows:
Capturing 10 birds can be considered as a binomial experiment with a success probability p = 0.2
Let,
be the expression of the binomial distribution, for our case we have:
p=0.2
x = 3
n=10
Then,


Therefore, the probability that exactly 3 of the 10 birds in the new sample were previously tagged is 20.13%
I’m confused on what you’re asking????
Answer:
x < 3
Step-by-step explanation: