T7 SOLUTIONS_Combined_1_2018.pdf

# C what if the assumption of a normal distribution was

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(c) What if the assumption of a normal distribution was incorrect? What will happen to your answers for Parts (a) and (b)? Which, if either, of your answers above would be changed by this information, and why? If the assumption that the distribution of the content of the soft drink bottles follows a normal distribution is incorrect, it would change the answers to part (a) and (b). We would not be able to calculate the answer to (a) without the assumption of a normal distribution as it is essential for standardising this part. For part (b), the central limit theorem cannot be invoked as the sample size of 6 is not sufficiently large. In this case, we cannot assume that the distribution of distribution is approximately normal.

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ETF1100 Business Statistics SOLUTIONS Tutorial 7 5 Interpretation: We are 95% confident that the true mean width of the steel troughs lies between 204.08mm and 204.34mm. (b) Repeat Q7.3(a) , but this time, assume that the population standard deviation is UNKNOWN . The standard deviation of the sample of 49 was found to be 0.461146mm. Also this time, use Excel to find the appropriate critical values .

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