( c ) State the conclusion of the test with a reason .
One student is randomly selected .
[ 2 ]
( d ) Write the probability that the improvement of the score of the student is greater than 6 marks .
[ 1 ]
4 . A social work is investigating whether organizing an anti-smoking event in public can decrease the mean smoking rates of citizens . The table below shows the number of times for 6 different people to smoke in a day before the anti-smoking event ( x ) and after the anti-smoking event ( y ):
Person A B C D E F Before anti-smoking event 11 7 13 5 4 8 After anti-smoking event 5 6 10 3 2 8
An appropriate test is conducted at a 5 % significance level .
( 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 ) |
State the conclusion of the test with a reason . |
Two people are randomly selected . |
[ 2 ]
[ 2 ]
[ 2 ]
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( d ) Find the probability that both of them have smaller numbers of times for smoking after the anti-smoking event .
[ 2 ]
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