The average adult male height in a certain country is 170 cm. We suspect that the men

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The average adult male height in a certain country is 170 cm. We suspect that the men in a certain city in that country might have a different average height due to some environmental factors. We pick a random sample of size 9 from the adult males in the city and obtain the following values for their heights (in cm):

176.2 157.9 160.1 180.9 165.1 167.2 162.9 155.7 166.2 

Assume that the height distribution in this population is normally distributed. Here, we need to decide between

H0: μ = 170,

H1: μ ≠ 170.

Based on the observed data, is there enough evidence to reject H0 at significance level α = 0.05?

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