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Assume that the amount of time it takes a five year old eat a PB...

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Assume that the amount of time it takes a five year old eat a PB J sandwich is uniformly distributed with a mean of 15 minutes and a standard deviation of 4 minutes A sample of 36 five year olds are randomly selected a Can the Central Limit Theorem be applied O No because the mean comes from a uniform distribution O Yes because the original population is normally distributed O No because the original population is not normally distributed Yes because the sample size is greater than 30 b What is the mean of all sample means for number of minutes it takes a five year old to eat a PB J sandwich c Find the standard deviation of all sample means for the number of minutes it takes a five year old to eat a PB J sandwich Round to 3 decimal places d Find the probability that the sample mean is more than 14 minutes Round to 3 decimal places e Find the 80th percentile for the mean number of minutes Round to 2 decimal places f Find the 70th percentile for the mean number of minutes Round to 2 decimal places g Find the 10th percentile for the mean number of minutes Round to 2 decimal places h Find the probability the mean time will be between 13 and 16 minutes Round to 3 decimal places

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