Question

Test the claim using the traditional method of hypothesis testing. Assume that the sample haas been randomly selected from a population with a normal distribution. Use a significance level of alpha = 0.01 to thest the claim that mu > 2.85. The sample data consists of 9 scores for which x-bar = 3.16 and s = 0.6. Separate each answer with a comma.

What is the test statistic, write the number only?

What is the critical value, write the number only?

What is your conclusion, write reject or fail to reject?

Answer 1

Solution :

This is the right tailed test .

The null and alternative hypothesis is ,

H₀ :   = 2.85

H_a : > 2.85

Test statistic = t

= ( - ) / s / n

= (3.16 - 2.85) / 0.6 / 9

= 1.55

= 0.01

Z _0.01 = 2.326

Critical value = 2.326

Test statistic < critical value

Reject the null hypothesis .