Answer: u= ( 4342.08, 5145.92).
Step-by-step explanation: the population mean is estimated using the sample by the formulae assuming a 95% confidence level
u = x' + Zα/2 * (√σ/n) or x' - Zα/2 * (√σ/n)
u = estimated population mean
x' = sample mean = 4744
n = sample size =8
σ = sample standard deviation. = 580
α = level of significance = 1- confidence level = 1-0.95= 0.05
Zα/2 = z score from the normal distribution table for a 2 tailed test = 1.96
First boundary value for interval
u = 4744 + 1.96 ( 580/√8)
u = 4744 + 1.96 * (205.0609)
u = 4744 + 401.92
u = 5145.92
Second boundary value for interval
u = 4744 - 1.96 ( 580/√8)
u = 4744 - 1.96 * (205.0609)
u = 4744 - 401.92
u = 4342.08
Thus the confidence interval for population mean is
u= ( 4342.08, 5145.92).
Since the number of bird decreases 3% per year then for year 1 there will be 29 100 birds left. This value is 97% of 30000. From this the number of birds for year 1 is N = 30000(1-0.03)
A. N = 30,000
B. To solve this we use the equation we established in letter A. We get the answer by substituting T with 20. N = 16,000. <span />
Answer:
Since the name indicates Minimum Variance Unbiased Estimator-first of all it is a parameter estimator. Secondly, it is an unbiased estimator so that the sample is carried out randomly. I.e. whenever a sample is chosen, there is no personal bias.
Then we can consider more than one sample-based unbiased estimator but sometimes they can vary in variation. But we have always intended to select an estimator that has minimal variance.
Therefore if the unbiased estimator has minimal variation between all unbiased class estimators then it is known as a good estimator.
The advantage of MVUE is that it is impartial and has a minimal variance of all unbiased estimators amongst the groups.
At times we get an estimator such as MLE which is not unbiased because the sample can be personally biased. Now let us assume an instructor needs to find the lowest marks in a physics class. Presume an instructor picks a sample and interprets the lowest possible marks.
Again the mistake could be that the instructor may choose his favorite sample learners because the sample might not be selected randomly. Therefore it is important to select an unbiased estimate with a minimum variance.
Precision is a measure of how close a value is to the
ideal value. In this case, we calculate the difference to know what is the
closest to 4 g:
4.05 – 4 = 0.05
3.98 – 4 = -0.02
4.021 – 4 = 0.021
We can see that the value of 3.98g has the lowest
difference and is therefore the closest to 4g. Hence the most precise is:
<span>3.98 g</span>
<h2>
Weight of column is 555.83 N</h2>
Step-by-step explanation:
Size of column = 6 inch x 6 inch x 8 ft
Size of column = 0.5 ft x 0.5 ft x 8 ft
Volume of column = 0.5 x 0.5 x 8 = 2 ft³
Specific weight of concrete = 62.4 lb/ft³
Mass = Volume x Specific weight
Mass = 2 x 62.4
Mass = 124.8 lb = 124.8 x 0.454 = 56.66 kg
Weight = 56.66 x 9.81 = 555.83 N
Weight of column is 555.83 N
