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1.Given a finite population 12, 14, 15, 16, and 20.
a Find the mean and the standard deviation to estimate the parameters.
b. Set up a sampling distribution of the mean using a sample size of 2 without replacement.
c. Show that the sampling distribution of the sample means is an unbiased estimator of the population mean.
2. Given the following data n = 75,= 50, and a = 10, the sampled population is normally distributed. a Compute the standard error of the mean.
b. At 95% confidence level, what is the margin of error?
c. Find 90% confidence interval for the population mean.
Mean and Variance of Sampling Method:
- What is the summation of x squared if the given are the following: 50, 46, 51, 45, 40, 43, 57, 58, 64, 59, 60, 62? ∑𝑥2?
- What is the summation of x if the given are the following: 50, 46, 51, 45, 40, 43, 57, 58, 64, 59, 60, 62? ∑𝑥?
- What is the summation of the quantity of x minus the mean close quantity squared if the given are the following: 100; 95; 98; 97; 93; 92; 91; 96; 99; 89? ∑(𝑥−𝑥̅ )2?
- What is the variance if the given are the following: 100; 95; 98; 97; 93; 92; 91; 96; 99; 89?
- What is the standard deviation if the given are the following: 100; 95; 98; 97; 93; 92; 91; 96; 99; 89?
- What is the summation of the quantity of x minus the mean close quantity squared if the given are the following: 50, 46, 51, 45, 40, 43, 57, 58, 64, 59, 60, 62? ∑(𝑥− 𝑥̅ )2?
Mean and Variance of
Sampling Method:
- What is the mean if the given are the following: 50, 46, 51, 45, 40, 43, 57, 58, 64, 59, 60, 62?
- What is the variance if the given are the following: 50, 46, 51, 45, 40, 43, 57, 58, 64, 59, 60, 62?
- What is the summation of x if the given are the following: 100; 95; 98; 97; 93; 92; 91; 96; 99; 89?
- What is the mean if the given are the following: 100; 95; 98; 97; 93; 92; 91; 96; 99; 89?
- What is the summation of x squared if the given are the following: 100; 95; 98; 97; 93; 92; 91; 96; 99; 89? ∑𝑥2?
- What is the standard deviation if the given are the following: 50, 46, 51, 45, 40, 43, 57, 58, 64, 59, 60, 62?
A. Answer the following. Solution is required.
A call center agent in a BPO company has received an average of 15 calls per hour.
a. What is the probability that he will receive 7 calls from 3am to 3:30am? Determine also its mean and variance. (15 points)
b. What is the probability that he will receive atleast 6 calls for a period of 1 hour? (10 points
c. What is the probability that he will receive atleast 8 calls, but not more than 12 calls in a span of 1 and a half hour? (10 points)
B. Give atleast three (3) real-life applications (each) of Binomial distribution and Poisson distribution. (15 points)
1.You play a game with two six-sided dice. If you roll a sum of 4 or 7, you win P 400. If you roll a sum of 10,you win 200. However, you lose 300 for anything else. If you continue to play the game, how much do you expect to win or lose in the game?
A. Provide formal of the validly of each of the following arguments.
- I shall either play basketball or i shall go to the mall and watch the movie. therefore i shall either play basketball or go to a mall.
- the Chocolate hills are not chocolate if I'm not the president of the Philippines. I'm not the president of the Philippines. therefore the Chocolate hills are chocolates.
- if the summer is hot when we won't go on vocation in may. we'll either go on vacation inmay or we'll buy a boat (perhaps both). therefore, if the summer is hot, we'll buy a boat.
- if Anna encore or write a program, she get an a. she's encoding and reading her lessons. therefore she'll get an A.
What is the solution for the recurrence relation a_n=2a_{n−1}−1
an
=2an−1
−1 with a_1=3
a1
=3 .
A. Four coins are tossed. Let X be the random variable representing the number of heads that occur. Find the values of the random variable X.
In building an arena, steel bars with a mean ultimate tensile strength of 400 megapascal (MPa) with a variance of 81 MPa were delivered by the manufacturer. The project engineer tested 50 steel bars and found out that the mean ultimate strenght is 390 MPa. The decision for the extension of the contract with the manufacturer depends on the engineer. Test the hypothesis whether there is no significant difference between the two means using a two - tailed with a = 0.01
The average pre-school cost for tuition fees last year was Php. 17,250. The following year 20 institutions had a sample mean of Php. 16,150 and a standard deviation of Php. 2,250. At 0.90 level of confidence is there sufficient evidence to conclude that the mean cost has increased?
