True of False (Indicate T or F)

a)The three measures of central tendency: mean, median and mode, for a normal distribution are identical.

b)A normal distribution may be symmetrical or skewed left or right.

c)A normally distributed data set has a mean of 100, and it is known that 30% of the values are greater than 140. The standard deviation of the normal distribution cannot be determined.

d)The probability of a point occurring in any interval of equal length is the same in a uniform distribution.

e)The total area under the normal curve is 1 as it is for all continuous distributions.

f)For a variable that has a normal probability density, the probability of an occurrence larger than 3.1 times the standard deviation is very unlikely.

g)Transformation of normal distributions to a standard normal distribution makes it easier to compare them and allows there to be a single table to be used for all normal distributions.

h)Although a normal distribution has a 'bell' shape, not all 'bell' shaped distributions are normal distributions.

i)A normal distribution is completely described by two quantities: mean and standard deviation.

j)Slightly more than 2/3 of the data occur within 1 standard deviation from the mean in a normal distribution.