Math wk 1
Q.1 This is solved problems and you need to write explanation how it comes and the terms like what is relative frequencies, types and examples.
Consider the relative frequency distribution given below:
|
Class Interval |
Relative Frequency |
|
20-under 40 |
0.2 |
|
40-under 60 |
0.3 |
|
60-under 80 |
0.4 |
|
80-under 100 |
0.1 |
There were 60 numbers in the data set. How many of the number were less than 80?
0.9
80
100
54
Q.2 Write a reply for this article (100 words)
This question is tests the understanding of the difference between descriptive and inferential statistics as well as population and sample. A population is the entire group that you want to draw conclusions about. A sample is the specific group from the population that you will collect data from. While Descriptive statistics summarize the characteristics of a data set, Inferential statistics goes a step further to allow you test and validate hypothesis about the population.
1. Take a sample of batteries and test them to determine the average shelf life - use the sample average to reach conclusions about all batteries of this type. Management can then make labeling and advertising claims. They can compare these figures to the shelf-life of competing batteries.
--This is Inferential since conclusion about all batteries is derived from testing samples.
2. Total number of worker hours per plant per week - help management understand labor costs, work allocation, productivity, etc.
-- This is Descriptive because the population data is analysed to draw conclusion about the same population.
3. Interview a random sample of production workers to determine attitude towards company management - management can use this survey result to ascertain employee morale and to direct efforts towards creating a more positive working environment which, hopefully, results in greater productivity.
-- This is Inferential since only a group of production workers (the sample) were interviewed to draw conclusion about the entire workforce attitude towards company management.
4. Company sales volume of batteries in a year - help management decide if the product is profitable, how much to advertise in the coming year, compare to costs to determine profitability.
-- This is Descriptive as the same product (the population) is analysis to make conclusion about itself.
5. Total amount of sulfuric acid purchased per month for use in battery production - can be used by management to study wasted inventory, scrap, etc.
-- This is also Descriptive as the same product (the population) is analysis to make conclusion about itself.
6. Take a sample of battery consumers and determine how many batteries they purchase per year. Infer to the entire population - management can use this information to estimate market potential and penetration.
-- This is Inferential as only a group of consumers were sampled to estimate the entire market.
Q.3 Write a reply for this article (100 words)
A recent survey of U.S. automobile owners showed the following preferences for exterior automobile colors:
This is quite simple but very insightful. Looking at the graph you can see white and black are the most popular choice. I chose this question because it may not always be as obvious when deciding how many of what type of colors to produce as the more color automobiles you produce does have an impact on consumer preferences. This graph especially when making a business decision that'll be more appealing to the customer as my favorite color is blue but that does not mean it will sell well or turn a profit.