World class runners complete a marathon in an average of 145 minutes with a standard deviation of 14 minutes. A sample of 49 world class marathon runner is taken. What is the probability that the sample mean (average) is between 142 minutes and 146 minutes? Round your answer to the nearest hundredth. Hint: let X be the random variable representing the running time for an individual and let Xbar be the random variable representing the sample mean. What is the mean and standard deviation for X? What is the mean and standard deviation for Xbar? What is the question asking about, X or Xbar?
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
World class runners complete a marathon in an average of 145 minutes with a standard deviation of 14 minutes. A sample of 49 world class marathon runner is taken. What is the
Hint: let X be the random variable representing the running time for an individual and let Xbar be the random variable representing the sample mean. What is the mean and standard deviation for X? What is the mean and standard deviation for Xbar? What is the question asking about, X or Xbar?
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