The time needed for college students to complete a certain paper and pencil maze follows a Normal distribution with a mean of 70 seconds. You wish to see if the mean time is changed by the consumption of a new brand of energy drink shortly before completing the maze. You selected a group of 25 college students who consumed a bottle of energy drink 20 minutes before completing the maze. The sample mean completion time of the 25 students is 68 seconds and the standard deviation is 8 seconds. The significance level is alpha = 5%. What is the conclusion of the hypothesis test? A. We have enough evidence to conclude that the population mean time needed for college students to complete a certain paper and pencil maze is different after the consumption of the new energy drink. B. We do NOT have enough evidence to conclude that the population mean time needed for college students to complete a certain paper and pencil maze is different after the consumption of the new energy drink. C. We have enough evidence to conclude that the sample mean time needed for college students to complete a certain paper and pencil maze is different after the consumption of the new energy drink. D. We do NOT have enough evidence to conclude that the sample mean time needed for college students to complete a certain paper and pencil maze is different after the consumption of the new energy drink.
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
The time needed for college students to complete a certain paper and pencil maze follows a
A. We have enough evidence to conclude that the population mean time needed for college students to complete a certain paper and pencil maze is different after the consumption of the new energy drink.
B. We do NOT have enough evidence to conclude that the population mean time needed for college students to complete a certain paper and pencil maze is different after the consumption of the new energy drink.
C. We have enough evidence to conclude that the sample mean time needed for college students to complete a certain paper and pencil maze is different after the consumption of the new energy drink.
D. We do NOT have enough evidence to conclude that the sample mean time needed for college students to complete a certain paper and pencil maze is different after the consumption of the new energy drink.
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