Question

You wish to test the claim that μ < 70 μ<34 at a level of significance of 0.60. In a sample of size 65, you find the sample mean to be 33 . Assuming the population standard deviation σ=3.88 and the values are normally distributed, compute the value of the test statistic and p-value.

Answer 1

Solution :

= 34

= 33

= 3.88

n = 65

This is the left tailed test .

The null and alternative hypothesis is ,

H0 :    = 34

Ha : < 34

Test statistic = z

= ( - ) / / n

= (33-34) / 3.88 / 65

= -2.08

Test statistic = z = -2.08

P(z < -2.08 ) =  0.0188

P-value =0.0188

= 0.60

P-value <

0.0188 < 0.60

Reject the null hypothesis .

There is sufficient evidence to suggest that