Suppose = 80 and = 20 for a population. In a sample where n = 100 is randomly taken, 95 of all possible sample means will fall above 76.71.
Indicate whether the statement is true or false
Q. 2The owner of a fish market determined that the average weight for a catfish is 3.2 pounds with a standard deviation of 0.8 pound. A citation catfish should be one of the top 2 in weight. Assuming the weights of catfish are normally distributed, at what weight (in pounds) should the citation designation be established?
A) 4.84 pounds B) 1.56 pounds C) 7.36 pounds D) 5.20 pounds
Q. 3Suppose = 50 and = 10 for a population. In a sample where n = 100 is randomly taken, 95 of all possible sample means will fall between 48.04 and 51.96.
Indicate whether the statement is true or false
Q. 4The owner of a fish market determined that the average weight for a catfish is 3.2 pounds with a standard deviation of 0.8 pound. Assuming the weights of catfish are normally distributed, the probability that a randomly selected catfish will weigh between 3 and 5 pounds is ________.
Fill in the blank(s) with correct word
Q. 5A sampling distribution is a distribution for a statistic.
Indicate whether the statement is true or false
Q. 6The owner of a fish market determined that the average weight for a catfish is 3.2 pounds with a standard deviation of 0.8 pound. Assuming the weights of catfish are normally distributed, the probability that a randomly selected catfish will weigh more than 4.4 pounds is ________.
Fill in the blank(s) with correct word
Q. 7If the population distribution is skewed, in most cases the sampling distribution of the mean can be approximated by the normal distribution if the samples contain at least 30 observations.
Indicate whether the statement is true or false