Solve the Problem. -A Public Bus Company Official Claims That the Mean Waiting

question 50

Essay

Solve the problem.
-A public bus company official claims that the mean waiting time for bus number 14 during peak hours is less
than 10 minutes. Karen took bus number 14 during peak hours on 18 different occasions. Her mean waiting
time was 7.6 minutes with a standard deviation of 2.3 minutes. At the 0.01 significance level, test the claim that
the mean waiting time is less than 10 minutes. Use the P-value method of testing hypotheses.

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Definitions:

Sampling Distribution

The sampling distribution is a probability distribution of a statistic obtained through a large number of samples drawn from a specific population.

Standard Error

A statistical measure that quantifies the amount of variability or dispersion of a sample mean relative to the true population mean.

Normal Population

A population in which the distribution of variables follows a normal (Gaussian) distribution, characterized by a symmetric bell-shaped curve.

Standard Error

A statistic that measures the dispersion of sample means around the population mean, indicative of the accuracy of the sample mean as a representation of the population mean.