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. Given the p-value found in the question above, and its relation to the level of significance α = .05, choose the best concluding statement. Group of answer choices There is not sufficient evidence to reject the null hypothesis; therefore, it cannot be concluded that the population mean K-Brown score has increased. There is sufficient evidence to reject the null hypothesis and to conclude that the

population mean K-Brown score is greater than 40.

Answer 1

Solution :

= 40

=48.83

S =20.76

n = 28

This is the right 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 =0.022

= 0.05  

P-value <

0.022 < 0.05

Reject the null hypothesis .

There is sufficient evidence to suggest that