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A LED company claims that the average life of the LED light bulbs it
manufactures is 1, 500 hours with a standard deviation of 500 hours. If a random
sample of 40 bulbs is chosen, what is the probability that the sample mean will be:
a. greater than 1, 400 hours?
b. less than 1, 400 hours?
A population consists of three numbers (3,4,7). Consider all possible samples of size 2 which can be drawn from the population. Find the variance of the sampling distribution of the sample means.
If the net investment function is given by I (t) = 100e^ {0.1t} calculate
(a) The capital formation from the end of the second year to the end of the fifth year;
(b) The number of years required before the capital stock exceeds $100 000
Find the consumer's surplus at $P = 5$ for the following demand functions:
(a) P=25-2Q,
(b) P= 10/sqrt {Q}
Find area bounded by f(x) =x^2 and g(x) =x+2
Find the area of the region between the x-axis and the graph of f(x) from a=-1, to b=2, if f (x)=e^2x+3
The average time it takes college freshmen to take the standardized comprehension test is 24.6 minutes. The standard deviation is 5.8 minutes. Assume the variable is normally distributed. Find the following probabilities:
a. It will take between 15 and 30 minutes to complete the test.
b. It will take the student less than 18 minutes to complete the test.
c. It will take the student more than 28 minutes to complete the test.
The leader of the association of jeepney drivers claims that the average daily take home pay of all jeepney drivers in San Mateo, Rizal is P 800. A random sample of 100 jeepney drivers in San Mateo Rizal was interviewed and the average daily take home pay of these drivers is found to be P 825. Use a 0.05 significance level to find out if the average daily take home pay of all jeepney drivers in San Mateo, Rizal is different from P 800. Assume that the population variance is P16, 928.
6. What is the null hypothesis?
7. What is the alternative hypothesis?
8. What type of test?
9. What is the level of significance?
10. What is the critical value?
11. What is the appropriate test statistic to be used?
If p and q are two propositions, then show that ~ (p V q) Ξ ~ p ~ q
Consider a population of 2,3,and 4 .suppose samples of size 2 are drawn from this population.describe the sampling distribution of the sample means.
What is the mean and variance of the sampling distribution of the sample means?
