What ways can sampling strategy impact the uncertainty

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Reference no: EM132225982 , Length: word count:1200

Assignment: Generate Samples by Using Probability and Defining Variables

Instructions

Part 1: For this part of this assignment, you must calculate the mean for several samples. Create a table with 3 columns and 15 rows and add the following labels for the columns:
• Peanuts
• Almonds
• Brazil Nuts

In the first column, provide mock data for the weights of 14 peanuts (peanuts' weights range from 0.6 grams and 1.3 grams); in the second column provide mock data for the 9 almonds (almonds' weights range from 1.8 grams to 2.5 grams); in the third column provide mock data for 7 Brazil nuts (Brazil nuts' weights range from 3.6 grams to 4.7 grams).

Once you have created that mock data set, calculate the mean weight of all 30 nuts. That becomes the population mean of this small population.

Draw the following samples of size 7:
• A completely random sample without regards of nut type.
• A random sample within only the peanuts column.
• A random sample within only the almonds column.
• A random sample within only the Brazil nuts column.
• A sample which randomly selects 4 peanuts, 2 almonds, and 1 Brazil nut.
Calculate the mean for each of these samples.

In proper APA style, please respond to each of the questions below:

1. How do each of the means from these samples relate to the population mean?
2. In what ways can sampling strategy impact the uncertainty associated with using samples to make inferences about populations?
Include your data table and calculations with your submission.

Part 2: In subsequent classes, you will calculate confidence interval and confidence levels. The purpose of this part of this week's assignment is to provide you with an intuitive feel for the constructs of confidence interval and confidence level. For each statement, use a 10-point scale where 1 is no confidence and 10 is perfectly confident.

• The mean of the sample of all peanuts represents the mean of the whole population.
• The mean of the sample of all Brazil nuts represents the mean of the whole population.
• The mean of the last sample with a combination of types of nuts represents the mean of the whole population.
• The mean, +/- 2.3 grams, of the last sample with a combination of types of nuts represents the mean of the whole population.

Briefly discuss your confidence level in these four cases. What impact did the inclusion of an interval in the last statement impact your level of confidence?

Length: Around 1200 words

Your paper should demonstrate thoughtful consideration of the ideas and concepts presented in the course and provide new thoughts and insights relating directly to this topic. Your response should reflect scholarly writing and current APA standards. Be sure to adhere to Northcentral University's Academic Integrity Policy.

Reference no: EM132225982

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