### Statistical Analysis Activity#### 1a) Formulate HypothesesThe null hypothesis (H0) is that the difference in the grams of sugar between ultra-processed and processed food is zero (µ = 0).- **H0**: µ = 0- **Example alternative hypothesis (H1)**: The mean (µ) difference in grams of sugar between ultra-processed foods (µ_up) and processed foods (µ_p) is not zero. That is $ H1: \mu_{up} \neq \mu_{p} $.#### 1b) Testing the Hypothesis with Sample DataGenerate 1,000 samples. Assume that students in our class were asked to calculate the difference in the amount of sugar between their ultra-processed food and processed food at home. The mean (µ) sugar difference was found to be 14.75 grams. Do we have evidence to reject the null hypothesis?#### 1c) Different Sample ValueAssume now that your sample difference in the amount of sugar between ultra-processed food and processed food at home was 4.75 grams. Do you have evidence to reject the null hypothesis with this sample data?#### 1d) Confidence Interval CalculationCalculate and interpret a 92% confidence interval for the data obtained. Express the interpretation using the full confidence interval language (e.g., "I am 92% confident that…").#### 1e) Data Distribution AnalysisDetermine what percent of the data lie to the left of -14.25 grams of sugar.### Relevant ConceptsThis section covers key concepts in hypothesis testing, such as formulating null and alternative hypotheses, the importance of sample sizes, calculating and interpreting confidence intervals, and understanding normal distribution.No graphs or diagrams are included in this activity, so explanations are based solely on textual data.

1a). An example of an alternative hypothesis could be that the mean difference in grams of sugar…

Answered: ect the null hypoth rence in the amou…

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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ect the null hypoth rence in the amou rocessed food at h vidence to reject th val for the data? P