( a ) ( i ) Write down the null hypothesis of the test .
( ii ) Write down the alternative hypothesis of the test .
( b ) ( i ) Write down the sample mean .
[ 2 ]
( ii ) Hence , find the test statistic z .
The critical value is given by 1.645 .
[ 3 ]
( c ) State the conclusion of the test with a reason . [ 2 ]
4 . The numbers of passengers passing a boarding gate is being studied . It is given that the population variance of the number of passengers is 28 .
24 daily records of the number of passengers passing the boarding gate are randomly selected to form a sample , as shown as follows :
98 102 122 111 105 140 93 101 107 111 97 108 96 102 94 120 118 108 105 103 104 95 111 93
A hypothesis test is conducted at a 2 % significance level to test whether the population mean number of passengers passing the boarding gate � is different from 100 , the target number of passengers in an advertisement .
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( a ) ( i ) Write down the null hypothesis of the test .
( ii ) Write down the alternative hypothesis of the test .
( b ) ( i ) Write down the sample mean .
[ 2 ]
( ii ) Hence , find the test statistic z .
The null hypothesis is not rejected if z � 2.326 .
[ 3 ]
( c ) State the conclusion of the test with a reason . [ 2 ]
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