According to a particular marketing corporation, the per capita consumption of bottled water is 3.8 gallons per month. Assume the standard deviation for this population is 0.75 gallons per month. Consider a random sample of 49 people. a. What is the probability that the sample mean will be less than 3.7 gallons per month? b. What is the probability that the sample mean will be more than 3.5 gallons per month? c. Identify the symmetrical interval that includes 94% of the sample means if the true population mean is 3.8 gallons per month. a. The probability that the sample mean will be less than 3.7 gallons per month is. (Type an integer or decimal rounded to four decimal places as needed.) b. The probability that the sample mean will be more than 3.5 gallons per month is (Type an integer or decimal rounded to four decimal places as needed.) c. The lower bound of the symmetrical interval is and the upper bound is (Type integers or decimals rounded to two decimal places as needed.)

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