Question
Part 2: Collecting Data Sample at least 30 records from the provided data set. Then verify that your sample satisfies the Central Limit Theorem. If
Part 2: Collecting Data
Sample at least 30 records from the provided data set. Then verify that your
sample satisfies the Central Limit Theorem. If it does not, continue sampling more records until it does. Replace the name of the column with the actual variable names.
Human Height and Weight are mostly hereditable, but lifestyles (e.g., regular strenuous physical exercise), diet, health and environmental factors also play a role in determining individual's physical characteristics.
Height: perform a hypothesis test at = .10 to see if there is enough evidence to show that the mean height of MLB players is less than 73in
age | height (in) | weight (lbs) |
24.41 | 79 | 205 |
33.31 | 76 | 205 |
26.6 | 76 | 230 |
25.11 | 75 | 200 |
24.32 | 75 | 222 |
31.74 | 74 | 220 |
36.4 | 74 | 200 |
28.09 | 73 | 195 |
31.61 | 73 | 170 |
25.33 | 72 | 205 |
33.77 | 71 | 250 |
32.33 | 70 | 190 |
26.46 | 68 | 155 |
31.44 | 76 | 213 |
23.49 | 74 | 180 |
27.81 | 74 | 228 |
32.02 | 74 | 245 |
27.56 | 73 | 191 |
34.02 | 72 | 215 |
23.96 | 72 | 185 |
23.87 | 70 | 175 |
27.12 | 77 | 200 |
23.14 | 76 | 220 |
34.85 | 76 | 210 |
27.03 | 75 | 195 |
30.25 | 74 | 220 |
28.77 | 74 | 205 |
25.02 | 73 | 180 |
29.85 | 73 | 210 |
25.27 | 72 | 205 |
204.13 Mean
21.10 Standard Devation
Central Limit Theorem:The formula to determine the standard deviation is based on the central limit theorem.
Briefly describe the sampling technique you used: The technique i usedH0: >=73 to H1: <73.
p = 0.94 and =0.10 which is p>
Part 3: Descriptive Statistics
In this part you will explore your data through some descriptive statistics.
Note: This part of the project will depend on which option you chose in Part 1. Follow the directions carefully and make sure you are looking at the correct option!
Circle the option that you selected in Part 1:
Option 1: Provide the sample mean and the sample standard deviation for your sample.
Sample mean-204.13
Sample standard deviation- 21.10
Part 4: Confident Interval and Hypothesis Testing
In this part you will calculate a confidence interval and conduct a hypothesis test for your dataset. For the hypothesis test, you will be using the null and alternative provided for you by your instructor.
Note: Just like in Part 3 of the project, your confidence interval and hypothesis test will depend on which option you chose in Part 1.
Reaffirm the model you are using for this project as specified in your Part 1. Put a check mark under the option you chose, and proceed accordingly.
One sample mean | One sample proportion |
- |
Confidence Interval:Calculate the confidence intervals specified by hand.
1. Construct a 90% confidence interval
2. Construct a 99% confidence interval
3. Give a brief explanation about the difference between the level of confidence and how it affects your interval.
The confidence level defines the distance for how close the confidence limits are to sample mean. The affects on the interval is false because
Hypothesis Test: Perform the appropriate hypothesis test. Make sure to follow all steps and clearly state the conclusion and interpretation at the end.
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