### Practice Problems:An investigator wants to test the claim that there is no difference of a new weight loss medication at reducing BMI (kg/m²). Suppose the following table represents the results from a sample from a SRS of individuals enrolled in the study. Assume a normal approximation is acceptable. (α = 0.01)| Patient | BMI pre test | BMI post test ||---------|--------------|---------------|| A | 30.5 | 26.5 || B | 32.8 | 28.3 || C | 35.6 | 28.2 || D | 34.7 | 27.9 || E | 30.1 | 28.5 |#### A) What type of t-test is this?#### B) Write out your null and alternative hypotheses#### C) Calculate a t-stat#### D) t-crit = ± _#### E) p-value = _#### G) Reject or Failed to reject the null hypothesis#### H) Construct a 99% confidence interval and provide an interpretation. Does your interval further support your decision in the hypothesis test above?### Explanation of the Table:The table lists the Body Mass Index (BMI) values for five patients both before and after a test period, during which they were administered a new weight loss medication. The two columns labeled "BMI pre test" and "BMI post test" represent the measurements taken before and after the administration of the medication, respectively.### Steps to Address Problems:1. **Type of t-test:** Given the nature of the data (paired observations before and after treatment), a paired sample t-test is appropriate.2. **Null and Alternative Hypotheses:** - Null hypothesis (H₀): There is no difference in BMI before and after the treatment (µD = 0). - Alternative hypothesis (H₁): There is a difference in BMI before and after the treatment (µD ≠ 0).3. **Calculate a t-stat:** Use the differences between pre-test and post-test BMIs to calculate the test statistic.4. **Critical t-value (t-crit):** Determine the critical value based on the t-distribution and degrees of freedom (n-1) at a significance level of 0.01.5. **p-value:** Determine the probability that the

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Description: ### Practice Problems:An investigator wants to test the claim that there is no difference of a new weight loss medication at reducing BMI (kg/m²). Suppose the following table represents the results from a sample from a SRS of individuals enrolled in

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An investigator wants to test the claim that there is no difference of a new weight loss medication at reducing BMI (kg/m²). Suppose the following table represents the results from a SRS of individuals enrolled in the study. Assume a normal approximation is acceptable. (a=.01) Patient BMI pre test BMI post test 30.5 26.5 B 32.8 28.3 35.6 28.2 34.7 27.9 30.1 28.5 A) What type of t-test is this? B) Write our your null and alternative hypotheses C) Calculate a tstat

An investigator wants to test the claim that there is no difference of a new weight loss medication at reducing BMI (kg/m²). Suppose the following table represents the results from a SRS of individuals enrolled in the study. Assume a normal approximation is acceptable. (a=.01) Patient BMI pre test BMI post test 30.5 26.5 B 32.8 28.3 35.6 28.2 34.7 27.9 30.1 28.5 A) What type of t-test is this? B) Write our your null and alternative hypotheses C) Calculate a tstat

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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