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Answer :
Statement II and III are not true, while statement I is true. Therefore, the correct answer is c. II and III only.
I. 68% of the values are between 37.6 and 50.4: This statement is true. In a normal distribution, approximately 68% of the values fall within one standard deviation of the mean. In this case, the range of 37.6 to 50.4 falls within one standard deviation of the mean (44 ± 3.2).
II. 13.5% of the values are less than 40.8: This statement is not true. In a normal distribution, approximately 50% of the values fall below the mean. Since the mean is 44, it is not possible for only 13.5% of the values to be less than 40.8.
III. 5% of the values are lower than 37.6 or higher than 50.4: This statement is not true. In a normal distribution, approximately 2.5% of the values fall below the mean minus one standard deviation, and approximately 2.5% of the values fall above the mean plus one standard deviation. Since the range of 37.6 to 50.4 falls within one standard deviation of the mean, it is not possible for 5% of the values to be outside this range.
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