Student Activity: Point Estimates ( Mean and Standard Deviation) Directions: Study the following problem and do the indicated tasks to provide the missing information in the solution. Problem: 47.0 56.4 50.1 60.2 48.0 55.3 60.0 59.5 63.0 57.5 Mr. Domingo conducted a survey among ten random samples of people who are in favor of Truck Ban in a section in the City. He determined the percentages of those who are in favor of the ban. Assuming that the only error present is the sampling error, he wanted to determine the point estimate of the population mean percentage and the standard deviation based on 500 observations. The following numbers represent the percentages of the 10 surveys. Solution: STEPS SOLUTION 1. Find the mean of the percentages. Formula: ,where X is a percentage = 55.7 2. Give the estimate of the population mean percentage. The estimate of the population mean percentage is 55.7________________. Compute the standard deviation. STEPS SOLUTION 1. Find the sum of the values in the numerator and n-1. This value is called the 2. Extract the square root of s2 s= This value is called the ______________________. 3. Describe/Interpret the result. On the average, the sample mean percentage is slightly more than away from the mean of the percentage value of people favoring the truck ban.
Student Activity: Point Estimates (
Directions: Study the following problem and do the indicated tasks to provide the missing information in the solution.
Problem:
|
47.0 |
56.4 |
50.1 |
60.2 |
48.0 |
55.3 |
60.0 |
59.5 |
63.0 |
57.5 |
Mr. Domingo conducted a survey among ten random samples of people who are in favor of Truck Ban in a section in the City. He determined the percentages of those who are in favor of the ban. Assuming that the only error present is the sampling error, he wanted to determine the point estimate of the population mean percentage and the standard deviation based on 500 observations. The following numbers represent the percentages of the 10 surveys.
Solution:
|
STEPS |
SOLUTION |
|
1. Find the mean of the percentages. |
Formula: ,where X is a percentage = 55.7 |
|
2. Give the estimate of the population mean percentage. |
The estimate of the population mean percentage is 55.7________________. |
Compute the standard deviation.
|
STEPS |
SOLUTION |
|
1. Find the sum of the values in the numerator and n-1. |
This value is called the
|
|
2. Extract the square root of s2 |
s= This value is called the ______________________. |
|
3. Describe/Interpret the result. |
On the average, the sample mean percentage is slightly more than away from the mean of the percentage value of people favoring the truck ban. |
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