Q6 a) A population standard
deviation is estimated to be 15. We want to estimate the population
mean within 1.2, with a 95-percent level of confidence. What sample
size is required?
b) Orla is the new statistician at a cola company. She wants to estimate the proportion of the population who enjoy their latest idea for a flavour enough to make it a successful product. Orla wants to obtain a 95-percent confidence level estimate of the population proportion and she wants the estimate to be within 0.07 of the true proportion. how large a sample is required?
c) A quick preliminary estimate of the proportion obtained by her predecessor was 0.33. Knowing this, how large a sample is required?
please show working step by step
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