Solution :
This is the two tailed test,
The null and alternative hypothesis is ,
H0 : = 97
Ha : 97
Test statistic = t
= ( - ) / s / n
= (98 - 97) / 2 / 9
Test statistic = t = 1.5
degrees of freedom = n - 1 = 9 - 1 = 8
P(t > 1.5) = 1-P (t < 1.5) = 1 - 0.9140
P-value = 0.086
Correct option is E
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