Question

15. A random sample is taken from a normal population. Do the hypothesis test to determine if there is evidence that the population standard deviation is greater than 5. Use a level of significance of a = 0.05. n = 25 Ž = 68.7 = 6.2 S= a. Use the appropriate notation to show the hypotheses. Ho: Hi: b. The critical value is c. The test statistic is d. The p value is

Answer 1

Given :

n = 25

= 68.7

T

s = 6.2

degree of freedom,

df = n -1 = 25-1 = 24

Hypotheses test :

H0: μ = 5.0

H1: μ > 5.0

critical value of t with significance level , $\alpha$ = 0.05 and df = 24 is

c = 1.711

test statistic,

t = $\bar{x}-\mu/\sigma/\sqrt{n}$

= 51.371

p value

p value = p ( t > 51.371 ) = 0.0000