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BSB123 THA 5

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The 5th weekly task for Data Analysis. Received full marks and an overall score of 90%. Examines Week 5 content Sampling Distributions.

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BSB123 THA 5
Topics this document covers:
Probability and statistics Data analysis Statistics Sampling Regression analysis Standard deviation Sampling distribution Mean Standard score Errors and residuals Normal distribution Standard error
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Topics this document covers:
Probability and statistics Data analysis Statistics Sampling Regression analysis Standard deviation Sampling distribution Mean Standard score Errors and residuals Normal distribution Standard error
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The factory needs to keep an eye on the production process to ensure that everything is working properly and that lightbulbs produced meet the advertised standard. This is done by testing the lifespans of a random sample of 36 in order to test the process. (a) Describe the sampling distribution of the sample mean lifetime of lightbulbs (X). μ = 1000 σ = 39 hours n = 36 hours It is a general rule that a sample mean will equal the mean of the parent distribution. Therefore, we can use the sample mean and population standard deviation to determine the sampling distribution. = 39 / √36 = 6.5 Therefore, the sample will follow a normal distribution with a mean of 1000 hours and standard error of 6.5 hours. (3 marks) (b) If the process is working correctly, what is the probabili...
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