## Answers

**Answer:**

Given,

alpha = 0.01

Ho : u <= 1.75

Ha : u > 1.75

test statistic z = (x -u)/(s/sqrt(n))

substitute values

= (2.07 - 1.75)/(0.88/sqrt(46))

= 2.47

P value = P(z > 2.47)

= 0.0067557 [since from z table]

= 0.0068

Here we observe that, p value < alpha, so we reject Ho.

So there is sufficient evidence to support the claim.

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