Here, xbar = 97 , sigma = 14 , n = 61
The z value at 95% confidence interval is,
alpha = 1 - 0.95 = 0.05
alpha/2 = 0.05/2 = 0.025
Zalpha/2 = Z0.025 = 1.96
Margin of error = E =z *(sigma/sqrt(n))
= 1.96 *(14/sqrt(61))
= 3.5133
The 95% confidence interval is
mean -E < mu < mean +E
97- 3.5133 < mu < 97+ 3.5133
93.4867 < mu < 100.5133
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