Question 10. (Total
8
marks)
“There are 10 types of people in the world; those
who understand binary and those who don’t!”
For each of the following statements, indicate whether the statements are True or False.
Each statement is worth one mark; there is no penalty for a wrong answer.
Circle True or False. No explanation is needed.
a) If two sets of numbers have the same mean of 30 and the
TRUE
FALSE
same standard deviation of 5, then the percentage of
numbers between 25 and 35 must be the same for both sets.
b) For a normal distribution, the upper and lower quartiles are
TRUE
FALSE
respectively one standard deviation above and below the mean.
c) Weight of a type of tomato has a standard deviation of 28g.
TRUE
FALSE
If two tomatoes are weighed together, their combined weight
would have standard deviation 56g.
d) A correlation coefficient based on a scatter plot measuresTRUE
FALSE
the proportion of data lying on the regression line.
e) In a hypothesis test, if the P-value is 0.01, then there is a 1%
TRUE
FALSE
probability that the null hypothesis being tested is true.
f) Suppose the residuals from a regression line predicting
TRUE
FALSE
weight from height are all negative. This is impossible;
the calculations must be wrong.
g) A Type I error cannot be made if the null hypothesis
TRUE
FALSE
is accepted.
h) A chi-square goodness of fit test with one degree of freedom
TRUE
FALSE
is equivalent to a one-sample z-test for proportion.
BONUS QUESTIONS JUST FOR FUN (No marks awarded)
In the following sequences – some of letters and others of numbers –
find the next one or
two most logical entries. The first one is a classic in the puzzle world.
a) O, T, T, F, F, S, S, __
b) 2, 3, 10, 12, 13, __
c) S, T, N, D, R, D, T, __
d) 8, 5, 4, 9, 1, 7, 6, __
One more: What letter belongs at the end of the following series of words:
IVY, EXCEL, SEEDY, __
*** END OF EXAM – HAVE A GOOD SUMMER! ***
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