Question Solution : = 15 =14.08 =3

n = 50

This is the two tailed test .

The null and alternative hypothesis is ,

H0 : = 15

Ha :  15

a ) Test statistic = z

= ( - ) / / n

= (14.08 - 15 ) / 3 / 50

= −2.168

Test statistic = z =  − 2.17

b ) P-value =0.0301

c ) = 0.05

P-value < 0.0301 < 0.05

Reject the null hypothesis .

There is sufficient evidence to conclude that 15

d ) It is observed that ∣z∣ = 2.168 > zc​=1.96,

There is sufficient evidence to conclude that 15

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