I have the following hypothesis: Null Hypothesis: The average height of men is 170 cm. Alternative hypothesis: The average height of men is greater than 170 cm. and the following information: Mean = 178.03 Standard Deviation = 7.64 N = 87 With a confidence level of 95%, how to find the critical value manually

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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I have the following hypothesis:

Null Hypothesis: The average height of men is 170 cm.

Alternative hypothesis: The average height of men is greater than 170 cm.

and the following information:

Mean = 178.03

Standard Deviation = 7.64

N = 87

With a confidence level of 95%, how to find the critical value manually? (without using excel)
Please I need a detailed explanation to understand the procedure, you can use the tables of the values
 
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