In November 2024
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Find the probability P(Z< -0.73)
1. The demand function P=4500-15Q2 and the supply function P = 5Q2 + 2500. Determine the following:
a) Consumer surplus.
Producer surplus
In a market survey conducted to examine whether the choice of a brand is related to the income
levels of the consumers, a random sample of 400 consumers reveal the following:
Income level (per month) Brand 1 Brand 2 Brand 3 Total
<20000 93 72 75 240
20000-50000 50 35 37 122
>50000 12 15 11 38
Total 155 122 123 400
Test the association between income level and brand preference at 5% significant level.
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In a certain population, it is claimed that the mean number of years of education is 13.2, while the standard deviation is 2.95 years. A random sample of 60 people is drawn from this population, and the sample mean is 13.87 years. What are the hypotheses and test statistic to be used in this case?
A population consist of three numbers (2, 4, 6). Consider all possible samples of size 2 which can be drawn without
replacement from the population. Find the following:
A population consist of three numbers (2, 4, 6). Consider all possible samples of size 2 which can be drawn without
replacement from the population. Find the following:
population mean
population variance and standard deviation
mean of each sample and the mean of the sampling distributions of means
variance of the sampling distributions of means
standard deviation of the sampling distribution of the means.
Answer what is asked in the given problem below. Show your solutions completely. Use an extra sheet of paper for your solutions. NO SOLUTIONS, NO POINTS.
The population is the weight of six pumpkins (in pounds) displayed in carnival "guess the weight" game booth. You are asked to guess the average weight of the six pumpkins by taking a random sample without replacement from the population. Suppose that the sample size of 5 pumpkins were drawn from this population (without replacement), describe the sampling distribution of the sample means.
Pumpkin
A
B
C
D
E
F
Weight in Pounds
19
14
15
9
10
17
What is the mean and variance of the sampling distribution of the sample means?
Compare these values to the mean and variance of the population.
N2Q has an outstanding six year-credit of 3 billion VND with interest rate of 15% and annual interest payment and principal will be paid once at the end of the maturity. Supposed that the interest rate for one-month savings deposit is quoted by 10%, if N2Q wants to save money in order to pay off his debt, how much is the monthly deposit?
"Solve \t\u222b\u2592\u221bx dx"
Tell whether if the following piecewise function is a continuous at a given point or not. (SHOW THE SOLUTION).
3. at x = 5
x² - 3 if x ≥ 5
4x + 2 if x < 5
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#339914 on Dec 2023