Your Practice Set – Applications and Interpretation for IBDP Mathematics
77
Paper 1 – Paired t-Test
Example
In a library , the habit of reading books of young people is investigated . The table below shows the number of fiction books read by the same group of 8 people in two consecutive months . At the end of each month , they are required to complete a survey about the number of fiction books read .
Person |
A |
B |
C |
D |
E |
F |
G |
H |
Number of fictions read in the first month ( x ) |
6 |
8 |
4 |
2 |
1 |
3 |
2 |
1 |
Number of fictions read in the second month ( y ) |
7 |
10 |
4 |
5 |
1 |
2 |
5 |
4 |
The library manager wants to investigate whether there is an increase in the number of fiction books read on average . A paired t -test is conducted at a 5 % significance level . Define d �x � y .
( a ) ( i ) Write down the null hypothesis of the test .
( ii ) |
Write down the alternative hypothesis of the test . |
( b ) |
Find the p -value. |
( c ) |
Write down the value of t , the test statistic . |
( d ) |
State the conclusion of the test with a reason . |
[ 2 ]
[ 2 ]
[ 1 ]
[ 2 ]
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