According to the CDC, the average weight of men in 1990 was 181 pounds. Consider a claim that the average weight of men increased by 2014. (https://abcnews.go.com/Health/average-weight-american-men-15-pounds-20-years/story?id=41100782) Use these hypotheses: H0: μ = 181 (Population mean weight of men in 2014 is same as that in 1990) Ha: μ > 181 (Population mean weight of men in 2014 has increased) Based on sample data, you fail to reject the null hypothesis and compared to the unknown truth if your decision was wrong, then you would have made: Type II Error because H0H0 was incorrectly not rejected. Type I Error because H0H0 was incorrectly rejected. Based on sample data, you fail to reject the null hypothesis. Then your conclusion would be: The sample data support the claim that the average weight of men increased. There is not sufficient sample evidence to support the claim that the average weight of men increased.
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
According to the CDC, the average weight of men in 1990 was 181 pounds.
Consider a claim that the average weight of men increased by 2014.
(https://abcnews.go.com/Health/average-weight-american-men-15-pounds-20-years/story?id=41100782)
Use these hypotheses:
H0: μ = 181
(Population mean weight of men in 2014 is same as that in 1990)
Ha: μ > 181
(Population mean weight of men in 2014 has increased)
-
Based on sample data, you fail to reject the null hypothesis and compared to the unknown truth if your decision was wrong, then you would have made:
- Type II Error because H0H0 was incorrectly not rejected.
- Type I Error because H0H0 was incorrectly rejected.
-
Based on sample data, you fail to reject the null hypothesis. Then your conclusion would be:
- The sample data support the claim that the average weight of men increased.
- There is not sufficient sample evidence to support the claim that the average weight of men increased.
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