Answer to Question #235027 in Statistics and Probability for Ndilloh

Question

State weather the following statement is True or False
a) The 60th percentile of a distribution is that value that exceeds 60 percent of the measurements and is
exceeded by 40 percent of the measurements
b) "Religion affiliation" of UNAM students is an example of ordinal data.
c) ANOVA models are set up such that the dependent variable is quantitative and the explanatory variable
is categorical.
d) As the number of observations increases, the t-distribution looks more like the normal distribution.
e) Mutually exclusive sets have only the empty set in common.
f) The mean of a sampling distribution of the mean depends on N, the sample size.
g) In a normal distribution, the mean, median and mode have different values.
h) The critical region is the region of rejection.
i) The third quartile of a population or distribution corresponds to the 30th percentile of the distribution.
j) The z-test requires that you know the standard deviation of the sample.

Answer 1

a) The 60th percentile of a distribution is that value that exceeds 60 percent of the measurements and is exceeded by 40 percent of the measurements - TRUE

b) "Religion affiliation" of UNAM students is an example of ordinal data. - FALSE (This is an example of categorical data)

c) ANOVA models are set up such that the dependent variable is quantitative and the explanatory variable is categorical - FALSE (the explanatory variable is also quantitative)

d) As the number of observations increases, the t-distribution looks more like the normal distribution. - TRUE

e) Mutually exclusive sets have only the empty set in common. - TRUE

f) The mean of a sampling distribution of the mean depends on N, the sample size. - FALSE (It is always the same as the mean of population)

g) In a normal distribution, the mean, median and mode have different values. - FALSE (They are all equal)

h) The critical region is the region of rejection. - TRUE

i) The third quartile of a population or distribution corresponds to the 30th percentile of the distribution. - FALSE (It corresponds to 75th percentile of the distribution).

j) The z-test requires that you know the standard deviation of the sample. - TRUE