Question: 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 Carb43.524.532.51.54.532.52.51.531.524Without Carb54564.5533.53.544.536435 Answer the following questions:Write the name of a statistical technique which is suitable for achieving the objective of nutritionists.What is the average impact on the basis of given data?Write the null and alternative hypothesis for the study.What is the calculated value of the test statistic?What is the conclusion of your study if the level of significance is 0.05?

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Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.6: Applications And The Perron-frobenius Theorem

Problem 22EQ

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Question: 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:

Write the name of a statistical technique which is suitable for achieving the objective of nutritionists.
What is the average impact on the basis of given data?
Write the null and alternative hypothesis for the study.
What is the calculated value of the test statistic?
What is the conclusion of your study if the level of significance is 0.05?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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