Statistics

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opbaaryy9

Mathematics

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Write a confidence interval or hypothesis test problem using one of the options below. For whichever option you choose, gather appropriate data and post your problem (without a solution) in the discussion board. You may add another sample to the data that you gathered in your Module Three Discussion Board post. Allow time for your classmates to post their solutions, and then respond to your own post with a solution for others to check their work.

Option 1:

Think of a problem that you may be interested in that deals with a comparison of two population means. Propose either a confidence interval or a hypothesis test question that compares these two means. Gather appropriate data and post your problem (without a solution) in the discussion topic. Later, respond to your own post with the solution for others to check their work.

For example, you may want to know if the average weight of a rippled potato chip is the same as the average weight of a non-rippled potato chip. You may weigh rippled regular potato chips from a large bag and find weights of 1.7, 1.9, 2.4, 1.3, 1.7, and 2.0 grams. You may weigh non-rippled potato chips from another large bag and find weights of 1.8, 1.6, 1.9, 1.9, and 1.4 grams. Assume a random sample was drawn.

Option 2:

Think of a problem that you may be interested in that deals with a comparison of two population proportions. Propose either a confidence interval or a hypothesis test question that compares these two proportions. Gather appropriate data and post your problem (without a solution) in the discussion topic. Later, respond to your own post with your own solution.

For example, you may believe that the proportion of adults in California who are vegetarians is more than the proportion of adults in New Hampshire who are vegetarians. In two independent polls, you may find that 109 out of 380 California residents are vegetarians and 39 out of 205 New Hampshire residents are vegetarians.

For your response to a classmate (two responses required, one in each option), solve your classmate’s confidence interval or hypothesis test problem, using a significance level not previously used Make sure that you use appropriate terminology and specify whether you are using the classical method or the p-value method.

For additional details, please refer to the Discussion Rubric document.

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Option 1 World developing countries GDP values is the population 1st 15 data was taken for the confidence interval calculation Country GDP(billion) Afghanistan Albania Algeria Andorra Angola Antigua and Barbuda Argentina Armenia Australia Austria Azerbaijan Bahamas, The Bahrain Bangladesh Barbados 20.82 13.04 170.37 3.01 124.21 1.53 637.59 11.54 1323.42 416.60 40.75 12.16 35.31 249.72 4.80 Mean(𝑥̂) = 204.32 Standard deviation(s) = 360.15 Test the claim that mean GDP value of these developing countries is less than 200 billion using 0.05 significance level Null hypothesis: Mean GDP value of these developing countries is greater than or equal 200 billion Alternative hypothesis: Mean GDP value of these developing countries is less than 200 billion H0 : μ ≥ 200 H1 : μ < 200 Test statistics T test should be used to test the claim as sample size is less than 30 𝑡= 𝑥̅ − 𝜇 𝑠/√𝑛 𝑡= 204.32 − 200 360.15 √15 𝑡 = 0.046 Critical value of t ∶ t 0.05,14 = 1.76 As 𝑡 < t 0.05,14, H0 is rejected. So. We can conclude that mean GDP value of these developing countries is less than 200 billion. Reference Data.worldbank.org. (2018). GDP (current US$) | Data. [online] Available at: https://data.worldbank.org/indicator/NY.GDP.MKTP.CD [Accessed 15 Nov. 2018].
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