Fundamentals of Statistics Project
|PAPER TYPE||STATISTICAL ANALYSIS|
|# OF SOURCES||4|
|# OF PAGES & WORD COUNT||5 ≈ 1375 WORDS|
Fundamentals of Statistics Project Overview
This project will verify the randomness of the calculator’s random number generator. The calculator comes with a feature that lets it generate a random number. Your goal is verify if the calculator will generate numbers randomly when asked to generate a number from 1 through 5. If it is truly random, it should follow a uniform distribution (meaning all numbers have equal chance of showing). We will check the number of times the calculator generates the number 3. To do this we will:
Calculate the probability of getting a 3 in one attempt. Recall what numbers the calculator can generate.
Calculate the expected value (mean of binomial) for the numbers 3’s we should expect to get:
3. Calculate the standard deviation
4. Calculate the interval of normal values (for getting a 3)
5. Confidence Intervals (based on your sample)
Create confidence intervals based on the different sample sizes and confidence levels based on the proportion of times you got 3’s in your sample.
6. Making conclusions based on our analysis.
This project involves hypothesis testing. We know the expected value, and run trials to see if we get a number of 3’s that falls in the interval of normal values. We also make confidence intervals to see if we can correctly guess the population proportion using samples. If we get results that are not in the interval of normal values or we get confidence intervals that do not contain the expected proportion, then we question if the expected values are actually the true values.
Based on your results in the study, if you got a normal amounts of 3’s and the proportion of getting a 3 was in all of your confidence intervals, then we can safely assume the calculator is using a random number generator. If not, we may have evidence to suspect that the calculator is not using a random number generator.
Your data and calculations should be neat and organized. And your conclusion must reference your data.
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