Search & Filtering
In a study made on time and motion, it was found out that a certain manual work can be finished at an average time of 40 minutes with a standard deviation of 18 minutes. A group of 16 workers is given a special training and then found to average only 35 minutes. Can we conclude that the special training can speed up the work using a 0.05 level?
Form a group of five students in your class. Determine the
General Math average of the members of the group. List them.
Use a separate sheet of paper.
1. List all possible samples of size 2 and their corresponding
means.
2. Construct the sampling distribution of the sample means.
3. Calculate the mean of the sampling distribution of the sample
means. Compare this to the mean of the population.
4. Calculate the standard deviation of the sampling distribution of
the sample means. Compare this to standard deviation the
mean of the population.
The main purpose of statistics is to test theories or results
from experiments. For example,
You might have invented a new fertilizer that you think makes
plants grow 50% faster.
In order to prove your theory is true, your experiment must:
a. Be repeatable
b. Be compared to a known fact about plants (In this example,
probably the average growth rate of plants without the fertilizer).
The rejection region (also called a critical region) is a part of the
testing process. Specifically, it is an area of probability that tells you if
your theory (hypothesis) is probably true.
=> Illustrate the rejection region(s), using your invented fertilizer
data aforementioned for the following questions:
1. Is the average growth rate greater than 10cm a day?
2. Is the average growth rate less than 10cm a day?
3.Is there a difference in the average growth rate in both directions
(greater than and less than)?
2. A random sample of 40 boys showed a mean weight of 120 lbs. with a standard deviation
of 12lbs. The standard weight for their age category is about 130lbs. Test the hypotheis that the selected boys are significantly lighter than the standard weight at0.01 level of siginificance.
Construct the sampling distribution of the sample mean for the population that consists of the scores 15, 18, 11, 14, 17, with a sample size of 3. Compute as well the mean of the sampling distribution using the expected value of the distribution and verify the result by computing for the population mean.
it is claimed that the average monthly income of chemical engineers last year was P27,900.00 A random sample of 36 chemical engineers is selected and it is found out that the average monthly salary is P28,000.00 Using a 0.05 level of significance can it be concluded that there is an increase in the average monthly income of chemical engineers? Assume that the population standard deviation is P250.50
If the distribution is not normally distributed and the sample size is small ,n=10, is the t-test still apropriate to use?explain your answer
Use Green’s Theorem to evaluate
∮C(x − 2y2) dx + (y4 + 2xy) dy where C consists of the line segment
from (0, 2) to (0, 4), followed by the curve with parametric equations x = 4 cos t, y = 4 sin t from (0, 4) to (−2, 2√3), then the line segment from (−2, 2√3) to (−1, √3), and finally the curve with parametric equations x = 2 sin t, y = 2 cos t from (−1, √3) to (0, 2).
Use Green’s Theorem to evaluate
∮C(x − 2y2) dx + (y4 + 2xy) dy where C consists of the line segment
from (0, 2) to (0, 4), followed by the curve with parametric equations x = 4 cos t, y = 4 sin t from (0, 4) to (−2, 2√3), then the line segment from (−2, 2√3) to (−1, √3), and finally the curve with parametric equations x = 2 sin t, y = 2 cos t from (−1, √3) to (0, 2).
Find the mean, variance and standard deviation of the following measures 2,5,6,3,9,10,12
