Search & Filtering
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)?
The 7th term of an AP is 15 and the fourth is 9. Find the sequence, first term and the common difference
f(×)=6/ײ3×-10
a. X=-2
b. x= 0
c. x=5
(Probability Distribution)
- If one ball each is drawn from 3 boxes, the first containing 3 red, 2 yellow, and 1 blue, the second box contains 2 red, 2 yellow, and 2 blue, and the third box with 1 red, 4 yellow, and 3 blue. What is the probability that all 3 balls drawn are different colors?
- In a viral pool test it is known that in a group of five (5) people, exactly one (1) will test positive. If they are tested one by one in random order for confirmation, what is the probability that only two (2) tests are needed?
(Distribution Probability)
- A small-time bingo card costs P100.00 for 5 games. The prize for the first three games is P5,000.00, the fourth is P10,000.00 and the last prize is P20,000.00. If 1,000 bingo cards are going to be sold and you could only win once, what is the expected value of a ticket?
- You pick a card from a deck. If it is a face card, you will win P500.00. If you get an ace, you will win P1,000. If the card you picked is red you get P100.00. For any other card, you will win nothing. Find the expected value that you can possibly win.
Find the solution set of x1+2x2-3x3+x4=0
3X1-X2+5X3-X4=0
2X1+X2+X4=0
Find the solution x1+2x2-3x3+x4=0
3x1-x2+5x-3x4=0
2x1+x2+x4=0
‘Bhartdarshan’ is an Internet-based travel agency wherein customers can see videos of the cities they plan to visit. The number of hits daily is a normally distributed random variable with a mean of 10,000 and a standard deviation of 2,400.
a. What is the probability of getting more than 12,000 hits?
b. What is the probability of getting fewer than 9,000 hits?
a.Make an assumption on the average weekly allowance of Grade 11 students.
b. Conduct a survey on your desired sample size.
c. Find the sample mean and sample standard deviation.
d. Set level of significance at 0.05
e. Follow the 5-step process of hypothesis testing ( use your assumption in formulating your own Ho & Ha)
Construct a graph G with 6 vertices {v1, v2, v3, v4, v5, v6} and six edges {e1, e2, e3, e4, e5,
e6} such that
i. e2 is a loop at v2
ii. v2 and v5 are end point of e5
iii. v3 is adjacent to v2
iv. v4 is isolated
v. e3 is parallel to e5
vi. e4 is incident of v1 and v6
