Mathematics, 30.04.2021 21:00 ozieera
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A large bakery makes thousands of cupcakes daily in two shifts: shift A and shift B. Suppose that, on average, cupcakes from shift A weigh 130g with a standard deviation of 4 g. For shift B, the mean and standard deviation are 125g and 3g respectively. Assume independence between the shifts.
Every day the bakery takes a simple random sample of 40 cupcakes from each shift. They calculate the mean weight for each sample, then look at the difference between the sample mean (A – B).
Find the probability that the mean weigths from the samples are more than 6 grams apart from each other.
show all work by:
1. Defining the parameter(s)
2. Stating the assumptions
3. Stating the parameters
4. Finding a probability
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