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**Does Caffeine Increase your pulse rate?**

2-sample Experiment Does Caffeine Increase your pulse rate?

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**Take your individual shot of Caffeine**

Treatment Group A Treatment Group B (Regular Coke) (Coke ZERO) Take your individual shot of Caffeine

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**Let’s take your INITIAL pulse rate**

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**Treatment Group A Treatment Group B Treatment Group A**

Soda with caffeine Soda without caffeine

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**Let’s Perform hypothesis testing while the caffeine gets into our system...**

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**Perform an HT on this case**

The Food and Nutrition Board of the National Academy of Sciences states that the recommended daily allowance (RDA) of iron for adult females under the age of 51 is 18 milligrams (mg). A sample of iron intake was obtained during a 24-hour period from 45 randomly selected adult females under the age of 51. It revealed that the sample mean was 14.68mg. At the 1percent significance level, does the data suggest that adult females under the age of 51 are, on average, getting less than the RDA of 18 mg of iron? Assume that the population standard deviation is 4.2 mg

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**µ = mean of iron taken by adult females under the age of 51**

Answer I .) Hypotheses: µ = mean of iron taken by adult females under the age of 51 Ho: µ = 18mg Ha: µ < 18mg II.) Condidtions: SRS: 45 randomly selected adult females under 51 Normality: we can say that the distribution is Normal by CLT Independence: The entire population of female under 51 must be more than 450. III.) Test Statistics: One-Sample z-test for µ Z=-5.30 with a P-value =

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Answer IV.) Conclusion With a very small p-value(P-value = ), we have strong evidence to REJECT the NULL HYPOTHESIS making our test significant. Therefore, we can say that adult females under the age of 51, on the average, are getting less than the RDA of 18mg of iron.

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**Let’s take your pulse rate**

Perform a Hypothesis Testing to test your claim.

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**Does our experiment prove that Caffeine increase your pulse rate?**

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**Required Output TREATMENT A W/CAFFEINE TREATMENT B W/O CAFFEINE**

INITIAL PULSE MEAN: INITIAL PULSE MEAN: PULSE AFTER THE EXPERIMENT: PULSE AFTER THE EXPERIMENT: DIFFERENCE FROM PULSE 1 AND PULSE 2 DIFFERENCE FROM PULSE 1 AND PULSE 2

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**What are some problems in this caffeine experiment?**

• If there is a change in pulse rates, we do not know if caffeine was the cause. For example, suppose I told a joke while we were waiting, and every one laughed so hard that their pulse rates went up. Or, suppose we took notes and everybody’s pulse rate slowed down to sleeplike levels.

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**Why don’t we give coke to one group and nothing to the other group?**

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**That is why I made 2 treatments groups: A**

That is why I made 2 treatments groups: A.) the one receiving regular coke (with caffeine) B.) one receiving caffeine free coke

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Chapter 9 Lecture 3 Section: 9.3. We will now consider methods for using sample data from two independent samples to test hypotheses made about two population.

Chapter 9 Lecture 3 Section: 9.3. We will now consider methods for using sample data from two independent samples to test hypotheses made about two population.

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