## Answers

Answer )

Null hypothesis Ho : u = 14

Alternate hypothesis Ha : u > 14

Test statistics = (sample mean - claimed mean)/(s.d/√n)

t = (16.3 - 14)/(5.9/√45) = 2.615

As the population s.d is unknown and we are using sample s.d

We will use t distribution to estimate the p-value

Degrees of freedom is = n-1 = 44

For 44 df and 2.615 test statistics

P-Value from t distribution is = 0.006087

= 0.0061

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