Question

Which of the following is a possible alternative hypothesis ?1 for a two-tailed test?

(a) ? < 30

(b) µ ≠ 30

(c) µ = 30

(d) µ > 30

The ?∝ 2 score corresponding to 98% confidence level is:

(a) 2.05

(b) 2.33

(c) 1.96

(d) 1.645

Answer 1

solution

1.

This is the two tailed test .

The null and alternative hypothesis is ,

H0 :   =30

Ha : 30

correct option (b) µ ≠ 30  

b.

At 98% confidence level the z is ,

= 1 - 98% = 1 - 0.98 = 0.02

/ 2 = 0.02/ 2 = 0.01

Z/2 = Z0.01 = 2.33 ( Using z table    )

correct option (b) 2.33