The First Certificate Test (FCE) was taken by 1,546,101 students from three countries: China, Japan, and India.
Question:
The First Certificate Test (FCE) was taken by 1,546,101 students from three countries: China, Japan, and India. Scores range from 20 to 200. The means and standard deviations for each country are shown in the table below. Assuming that the results of Chinese students follow a normal distribution, describe its normal distribution.
Mean | StDev | |
China | 118 | 59 |
Japan | 106 | 57 |
India | 149 | 61 |
a) The graph of the normal density curve N( 118, 59) is a bell-shaped curve which is centered at the mean 118 and has a horizontal scale such that 95% of the area under the curve falls within one standard deviation of the mean.
b) The graph of the normal density curve N( 118, 59) is a bell-shaped curve which is centered at the mean 118 and has a horizontal scale such that 95% of the area under the curve falls within three standard deviations of the mean.
c) The graph of the normal density curve N( 59, 118) is a bell-shaped curve which is centered at the mean 59 and has a horizontal scale such that 95% of the area under the curve falls within two standard deviations of the mean.
d) The graph of the normal density curve N( 118, 59) is a bell-shaped curve which is centered at the mean 118 and has a horizontal scale such that 95% of the area under the curve falls within two standard deviations of the mean.
Understanding Business Statistics
ISBN: 978-1118145258
1st edition
Authors: Stacey Jones, Tim Bergquist, Ned Freed