Question

A sample of 43 observations is selected from a normal population. The sample mean is 60, and the population standard deviation is 8. Conduct the following test of hypothesis using the 0.02 significance level. H0: μ = 63 H1: μ ≠ 63

3. What is the value of the test statistic? (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.)
4. What is the p-value? (Round your z value to 2 decimal places and final answer to 4 decimal places.)
5. e-2. Interpret the p-value? (Round your z value to 2 decimal places and final answer to 2 decimal places

Answer 1

Solution :

a ) Given that

= 63

=60

=8

n = 43

b ) This is the two tailed test .

The null and alternative hypothesis is ,

H₀ :    = 63

H_a :     63

c )Test statistic = z

= ( - ) / / n

= (60 - 63 ) / 8 / 43

= −2.459

Test statistic = z =  −2.46

d ) P-value =0.0139

= 0.02

e ) P-value <

0.0139 < 0.02

Reject the null hypothesis .

There is sufficient evidence to suggest that