A nutritionist applies keto diet in a group of twenty individuals. He assumes that keto is designed with the idea of cutting carbohydrates from the food which impacts over the weight of individuals. For the verification of this assumption, he took a group of twenty individuals and kept them on two different diet plans (diet with and without carbohydrates) for a period of 16 weeks each. The weekly normally distributed data of their weight loss given below: weekly loss in weight (in Kg) With Carb 4 3.5 2 4.5 3 2.5 1.5 4.5 3 2.5 2.5 1.5 3 1.5 2 4 Without Carb 5 4 5 6 4.5 5 3 3.5 3.5 4 4.5 3 6 4 3 5 Answer the following questions: a. What is the calculated value of the test statistic? b. What is the conclusion of your study if the level of significance is 0.05?
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
A nutritionist applies keto diet in a group of twenty individuals. He assumes that keto is designed with the idea of cutting carbohydrates from the food which impacts over the weight of individuals. For the verification of this assumption, he took a group of twenty individuals and kept them on two different diet plans (diet with and without carbohydrates) for a period of 16 weeks each. The weekly
|
|
weekly loss in weight (in Kg) |
|||||||||||||||
|
With Carb |
4 |
3.5 |
2 |
4.5 |
3 |
2.5 |
1.5 |
4.5 |
3 |
2.5 |
2.5 |
1.5 |
3 |
1.5 |
2 |
4 |
|
Without Carb |
5 |
4 |
5 |
6 |
4.5 |
5 |
3 |
3.5 |
3.5 |
4 |
4.5 |
3 |
6 |
4 |
3 |
5 |
Answer the following questions:
a. What is the calculated value of the test statistic?
b. What is the conclusion of your study if the level of significance is 0.05?
Step by step
Solved in 4 steps with 3 images
