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tutorial4

# tutorial4 - Stat 211 Tutorial 4 Questions are adapted from...

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Stat 211 - Tutorial 4 Questions are adapted from the book titled "A concise course in advanced level statis- tics: with worked examples" by J. Crawshaw and J. Chambers. 1. (Page 401, Mixed Test 7A, Question 1) A smoker’s blood nicotine level, measured in ng/ml, may be modelled by a normal random variable with mean 310 and standard deviation 110. (a) What proportion of smokers have blood nicotine levels lower than 250? (b) What blood nicotine level is exceeded by 20% of smokers? ( AEB) 2. A machine is used to fill tubes, of nominal content 100 ml, with toothpaste. The amount of toothpaste delivered by the machine is normally distributed and may be set to any required mean value. Immediately after the machine has been over- hauled, the standard deviation of the amount delivered is 2 ml. As time passes, this standard deviation increases until the machine is again overhauled. The following three conditions are necessary for a batch of tubes of toothpaste to comply with current legislation:

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