Statistics and Probability Answers

Conduct a survey involving two

variables with at least 15 respondents. Put the data in a table identifying the

independent and dependent variables, then construct a scatter plot. As part of your

advance study, determine the shape, trend, and variation of the variables involved.

rashmi dhar, manufacturer and seller of kashmiri kawha through e-commerce websites.

she wanted to know the effect of her spending in advertiesment of 'kahwa' on the sales, along with the other factors 'numer of rpresntatives . ' customer - satifaction ratings'. for this research she has gathered the sales data in the folowing table along with other necessary information

according to its label, each coffee bag in a box contains 4g of coffee powder.in actual fact, the mass of coffee powder per bag has a mean 4.05g and a standard deviation of 0.05g. assuming that the mass of coffee powder in each bag is distributed normally, calculate the expected number of coffee bags which contain 3.95g to 4.10g of coffee powder in a box of 300 bags.

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)?

(Probability Distribution)

1. 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?
2. 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)

1. 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?
2. 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. 

‘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)

1. The teacher would like to find out if there is significant difference in the performance of the male and female students in 35 item test in English. He wants to consider 0.005 level of significance. The result is shown below:

MALE STUDENTS

sample size = 8

sample mean = 24.27

standard deviation = 9.36

FEMALE STUDENTS

sample size = 7

sample mean = 21.07

standard deviation = 8.25