Suppose the number of items you can deliver in a day is a random variable with some unknown distribution with a mean = 35 and a standard deviation of 8. What is the probability a random sample of %3D 36 days would have a mean greater than 37.32?

The mean points obtained in an aptitude examination is 179points with a variance of 225.   What is the probability that the mean of the sample would differ from the population mean by less than 2.5 points if 77exams are sampled? Round your answer to four decimal places.

Suppose the number of items you can deliver in a day is a random variable with some unknown distribution with a mean = 35 and a standard deviation of 8. 95.25% of all sample means of 36 days will be greater than ?.

Suppose the number of items you can deliver in a day is a random variable with some unknown distribution with a mean of 35 and a standard deviation of 8. 95.25% of all sample means of 36 days will be greater than?

The mean weight of an adult is 71 kilograms with a variance of 100.   If 181 adults are randomly selected, what is the probability that the sample mean would differ from the population mean by less than 1.2 kilograms? Round your answer to four decimal places.

Suppose the horses in a large stable have a mean weight of 873lbs, and variance of 17,161. What is the probability that the mean weight of the sample of horses would differ from the population mean by less than 15lbs if 50 horses are sampled at random from the stable? Round your answer to four decimal places.

Suppose the mean income of firms in the industry for a year is 25 million dollars with a standard deviation of 9 million dollars. If incomes for the industry are distributed normally, what is the probability that a randomly selected firm will earn between 36 and 42 million dollars? Round your answer to four decimal places.

Suppose the mean income of firms in the industry for a year is 2525 million dollars with a standard deviation of 77 million dollars. If incomes for the industry are distributed normally, what is the probability that a randomly selected firm will earn less than 4040 million dollars? Round your answer to four decimal places.

Suppose a batch of metal shafts produced in a manufacturing company have a variance of 7.84 and a mean diameter of 201 inches. If 89 shafts are sampled at random from the batch, what is the probability that the mean diameter of the sample shafts would be less than 201.2 inches? Round your answer to four decimal places. don't forget to round

Suppose IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. What is the probability a random sample of 250 people has a mean IQ of more than 102?