Answer:
And rounded up we have that n=2663
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 % whereby 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".
The population proportion have the following distribution
Solution to the problem
In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by 
and 
. And the critical value would be given by:
The margin of error for the proportion interval is given by this formula:
(a)
And on this case we have that 
and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
We can assume an estimated proportion of 
since we don't have prior info provided. And replacing into equation (b) the values from part a we got:
And rounded up we have that n=2663
Answer:
The amount is $649.46 and the interest is $49.46.
Step-by-step explanation:
STEP 1: To find amount we use formula:
A=P(1+rn)n⋅t
A = total amount
P = principal or amount of money deposited,
r = annual interest rate
n = number of times compounded per year
t = time in years
In this example we have
P=$600 , r=8% , n=4 and t=1 years
After plugging the given information we have
AAAA=600(1+0.084)4⋅1=600⋅1.024=600⋅1.082432=649.46
STEP 2: To find interest we use formula A=P+I, since A=649.46 and P = 600 we have:
A649.46II=P+I=600+I=649.46−600=49.46
it is a relatively easy way to draw a sample while ensuring randomness is the answer.
Systematic sampling is a probabilistic sampling method in which a researcher selects members of a population at regular intervals. For example, select every 15 people from the list of populations. If the population is in random order, this can mimic the benefits of a simple random sample.
These are generally preferred by researchers because they are easy to implement and understand. The important assumption that the results represent the majority of the normal population ensures that the entire population is sampled equally. The process also provides a higher level of control for systematic sampling compared to other sampling methods. systematic sampling also has a lower risk factor because the data is unlikely to be contaminated.
Learn more about systematic random sampling here:brainly.com/question/21100042
#SPJ4
Answer:
k = 4.
Step-by-step explanation:
An arithmetic sequence has a common difference.
So for this to be arithmetic:
k + 3 - (k - 1) = 3k - 1 - (k + 3)
k + 3 - k + 1 = 3k - 1 - k - 3
3 + 1 = 2k - 4
4 + 4 = 2k
k = 4.
The sequence is 3, 7, 11.
