Math 201-Statistics project
Week 3
| Age | Gender | For the following questions, use only the "age" column: | ||||||||||||||
| 17 | F | |||||||||||||||
| 17 | F | Points | Age Frequency Distribution: | Class Width | ||||||||||||
| 18 | F | Cumulative Relative Freq | Midpoint | Freq. | ||||||||||||
| 18 | F | Class Limits | Midpoint | Freq. | Relative Frequency | Cumulative Relative Freq | High | |||||||||
| 13 | 0 | |||||||||||||||
| 19 | M | Low | High | 24 | 8 | 21 | 8 | |||||||||
| 22 | F | Limits | 2 | 17 | 24 | 21 | 8 | 0.38 | 8 | 32 | 11 | 29 | 3 | |||
| 23 | F | Freq. | 2 | 25 | 32 | 29 | 3 | 0.14 | 11 | 40 | 17 | 37 | 6 | |||
| 24 | M | Mid. | 2 | 33 | 40 | 37 | 6 | 0.29 | 17 | 48 | 20 | 45 | 3 | |||
| 25 | F | RF | 2 | 41 | 48 | 45 | 3 | 0.14 | 20 | 56 | 21 | 53 | 1 | |||
| 26 | F | CF | 1 | 49 | 56 | 53 | 1 | 0.05 | 21 | 61 | 0 | |||||
| 27 | F | 21 | ||||||||||||||
| 35 | M | 2 | Mean | 30.67 | *Round to two decimals | |||||||||||
| 36 | F | 2 | Median | 27 | *Round to one decimal | |||||||||||
| 36 | F | 2 | Sample Standard deviation: | 10.84 | *Round to two decimals | |||||||||||
| 37 | F | 2 | Q1 | 19 | *Round to one decimal | |||||||||||
| 40 | M | 2 | Q3 | 40 | *Round to one decimal | |||||||||||
| 40 | F | |||||||||||||||
| 41 | M | |||||||||||||||
| 46 | F | Ogive: | 3 | Ogive: | Polygon: | |||||||||||
| 47 | M | Polygon | 3 | |||||||||||||
| 50 | M | |||||||||||||||
| 644 | ||||||||||||||||
| Total: | 25 | |||||||||||||||
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O-give Chart
Series1 24 32 40 48 56 8 11 17 20 21
Frequency Polygon
Series1 13 21 29 37 45 53 61 0 8 3 6 3 1 0
Week 5
| Note: The goal of the project is to practice making a confidence interval for a mean and proportion with real data. Do not worry about failed assumptions tests and do not make corrections for small sample size. Use primary methods described in text and used on homework. | |||||||||||||
| Age | Gender | Points | 95% Confidence Interval for Average Age of Online College Students: | ||||||||||
| 17 | F | ||||||||||||
| 17 | F | Sample Mean: | 30.67 | Note: Calculation cells should list the numbers and operations used to get your answers. Do not put the generic formula and show all calculation steps. | |||||||||
| 18 | F | Sample St. Dev: | 10.84 | Normal Distribution | |||||||||
| 18 | F | 1 | Sample Size: | 21 | T-Distribution | ||||||||
| 19 | M | ||||||||||||
| 22 | F | 2 | Distribution: | T-Distribution | |||||||||
| 23 | F | ||||||||||||
| 24 | M | 2 | Critical Value: | 2.09 | *2 decimals | ||||||||
| 25 | F | ||||||||||||
| 26 | F | 2 | Margin of Error: | 4.93 | *2 decimals | Calculation: | 4.93 | ||||||
| 27 | F | 1 | Lower Bound: | 25.74 | *2 decimals | Calculation: | 25.74 | ||||||
| 35 | M | 1 | Upper Bound: | 35.60 | *2 decimals | Calculation: | 35.60 | ||||||
| 36 | F | ||||||||||||
| 36 | F | Interpret (context) | At 95% confidence interval one is confident that the average age of online college students lies within (25.74,35.60) years . | ||||||||||
| 37 | F | 2 | |||||||||||
| 40 | M | ||||||||||||
| 40 | F | 95% Confidence Interval for Proportion of Male Online College Students: | |||||||||||
| 41 | M | ||||||||||||
| 46 | F | 1 | Sample Size: | 21 | |||||||||
| 47 | M | 1 | Number of Males: | 7 | |||||||||
| 50 | M | 2 | Male Proportion: | 0.3333 | Female Proportion | 0.6667 | *4 decimals | ||||||
| 644 | |||||||||||||
| 2 | Distribution: | Normal Distribution | |||||||||||
| 2 | Critical Value: | 1.96 | *2 decimals | ||||||||||
| 2 | Margin of Error: | 0.2016 | *4 decimals | Calculation: | 0.2016 | ||||||||
| 1 | Lower Bound: | 0.1317 | *4 decimals | Calculation: | 0.1317 | ||||||||
| 1 | Upper Bound: | 0.5350 | *4 decimals | Calculation: | 0.5350 | ||||||||
| Interpret (context) | At 95% confidence interval the true proportion of male online college students lies within (0.1317,0.5350) . | ||||||||||||
| 2 | |||||||||||||
| 25 | Total Points | ||||||||||||
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Week 6
| Note: The goal of the project is to practice conducting a hypothesis test for a mean and proportion with real data. Do not worry about failed assumptions tests. Use primary methods described in text and used on homework. | ||||||||||||
| For the following two hypothesis tests, use alpha = .05 | ||||||||||||
| Points | Claim: The average age of online students is 32 years old. Can you prove it is not? | |||||||||||
| Normal Distribution | ||||||||||||
| 1 | Ho: | Note: Calculation cells should list the numbers and operations used to get your answers. Do not put the generic formula and show all calculation steps. | T-Distribution | |||||||||
| 2 | Ha: | |||||||||||
| Sample mean: | 30.67 | |||||||||||
| Sample St. Dev: | 10.84 | |||||||||||
| 2 | Distribution: | |||||||||||
| Reject Ho | ||||||||||||
| 2 | Test Statistic: | *2 decimals | Calculation: | Fail to Reject Ho | ||||||||
| 2 | p-value: | *4 decimals | ||||||||||
| 1 | Decision: | |||||||||||
| 2 | Interpretation: (context) | |||||||||||
| Claim: The proportion of males in online classes is 35%. Can you prove it is not? | ||||||||||||
| 1 | Ho: | |||||||||||
| 2 | Ha: | |||||||||||
| Sample Proportion Males | 0.3333333333 | Sample Proportion Females | 0.6666666667 | |||||||||
| 2 | Distribution: | |||||||||||
| 3 | Test Statistic: | *2 decimals | Calculation: | |||||||||
| 2 | p-value: | *4 decimals | ||||||||||
| 1 | Decision: | |||||||||||
| 2 | Interpretation: (context) | |||||||||||
| 25 | Total Points | |||||||||||
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