Question

A K-Brown medical symptom checklist is designed to reflect the sleep status of an individual. Individuals evaluated as having mildly unhealthy states of sleep are known to have a mean K-Brown score of 40. A group of 28 randomly selected individuals who exhibited scores of 40 participated in a 3 month structured meditation program, followed by a one month evaluation of their sleep using the K-Brown checklist. The mean scores from this group were: x-bar = 48.83 and s = 20.76 . The program administrator is interested to know if the results of the meditation program increases the K-Brown score, to a degree that is statistically significant. A level of α = .05 is chosen as the level of significance for the hypothesis test. The test statistic, t0 , is (choose the best answer): Group of answer choices 2.438 2.251 2.084 1.968

Answer 1

Solution :

= 40

=48.83

S =20.76

n = 28

This is the two tailed test .

The null and alternative hypothesis is ,

H0 :    = 40

Ha :     40

Test statistic = t

= ( - ) / S / n

= (48.83-40) / 20.76 / 28

= 2.127

Test statistic = t = 2.127

P-value =0.0439

= 0.05  

P-value <

0.0439 < 0.05

Reject the null hypothesis .

There is sufficient evidence to suggest that