Suppose that the weights of adult males have a mean of 60kls and standard deviation of 18 kg. Suppose that the distribution of weights is not normal and n = 40. Find the probability that a random sample of 15 males will have a mean weight that exceeds 75kg. .9998 0.0002 0.2 0.0001 Other:
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- The average American man consumes 9.9 grams of sodium each day. Suppose that the sodium consumption of American men is normally distributed with a standard deviation of 0.8 grams. Suppose an American man is randomly chosen Let X-the amount of sodium consumed. Round all numeric answers to 4 decimal places where possible a What is the distribution of X? X N b. Find the probability that this American man consumes between 9.7 and 10.5 grams of sodium per day c. The middle 10% of American men consume between what two weights of sodium? Low HighThe average price of a kilogram of ham is 1,300. Assume that the standard deviation is 150. If a random sample of 30 one-kilogram packages is selected, find the probability that the sample will be less than 1,260.The average American man consumes 9.6 grams of sodium each day. Suppose that the sodium consumption of American men is normally distributed with a standard deviation of 0.8 grams. Suppose an American man is randomly chosen. Let X = the amount of sodium consumed. Round all numeric answers to 4 decimal places where possible. b. Find the probability that this American man consumes between 9.3 and 9.9 grams of sodium per day. c. The middle 10% of American men consume between what two weights of sodium?Low: High:
- Service time for a customer coming through a checkout counter in a retail store is a random variable with the mean of 4.0 minutes and standard deviation of 2.0 minutes. Suppose that the distribution of service time is fairly close to a normal distribution. Suppose there are two counters in a store, n₁ = 46 customers in the first line and n₂ = 52 customers in the second line. Find the probability that the difference between the mean service time for the shorter line X₁ and the mean service time for the longer one X₂ is more than 0.3 minutes. Assume that the service times for each customer can be regarded as independent random variables. Round your answer to two decimal places (e.g. 98.76). P = !Assume that adults have IQ scores that are normally distributed with a mean of 97.9 and a standard deviation of 24.8. Find the probability that a randomly selected adult has an IQ greater than 135.8. The probability that a randomly selected adult from this group has an IQ greater than 135.8 is?A population has an average of 125 and a standard deviation of 15. Calculate the probability that in a sample of size 75, the sample mean is greater than 130.
- The capacity of an elevator is 15 people or 2400 pounds. The capacity will be exceeded if 15 people have weights with a mean greater than 2400/15=160 pounds. Suppose the people have weights that are normally distributed with a mean of 165 lb and a standard deviation of 35 lb. a. Find the probability that if a person is randomly selected, his weight will be greater than 160 pounds. b. Find the probability that 15 randomly selected people will have a mean that is greater than 160 pounds. c. Does the elevator appear to have the correct weight limit? Why or why not?The average amount of money spent for lunch per person in the college cafeteria is $6.24 and the standard deviation is $2.05. Suppose that 6 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal places where possible.For the group of 6 patrons, find the probability that the average lunch cost is between $6.2647 and $7.3532.average number of pounds of meat that a person consumes per year is 218pounds. Assume that the standard deviation is 26 pounds and the distribution is approximately normal. 1- Find the probability that a person selected at random consumes less than 224 pounds per year 2-1f a sample of 50 individuals is selected find the probability that the mean of the sample will be less than 224 pounds per year
- Assume that adults have IQ scores that are normally distributed with a mean of95.4 and a standard deviation of 16.6. Find the probability that a randomly selected adult has an IQ greater than 118.1 The probability that a randomly selected adult from this group has an IQ greater than 118.1 is what?Service time for a customer coming through a checkout counter in a retail store is a random variable with the mean of 1.0 minutes and standard deviation of 0.5 minutes. Suppose that the distribution of service time is fairly close to a normal distribution. Suppose there are two counters in a store, n = 11 customers in the first line and n2 = 30 customers in the second line. Find the probability that the difference between the mean service time for the shorter line X1 and the mean service time for the longer one X2 is more than 0.5 minutes. Assume that the service times for each customer can be regarded as independent random variables. Round your answer to two decimal places (e.g. 98.76). P = i