. The null hypothesis is                        i. The low-humidity group has unequal mean with the high-humidity group. ii. The low-humidity group has greater mean with the high-humidity group. iii. The low-humidity group has equal mean with the high-humidity group. iv. The low-humidity group has less mean with the high-humidity group. B. The computed t-test statistic is              i. 0.763 ii. 0.597 iii. 0.452 iv. 0.681   C. The critical/tabular t-test statistic is                i. 1.678 ii. 2.013 iii. 2.014 iv. 1.679   D. Decision rule:        i. Reject the null hypothesis. ii. Do not reject the null hypothesis.         E. The final conclusion is  i. The low-humidity group has less mean to high-humidity group. ii. The low-humidity group has greater mean to high-humidity group. iii. The low-humidity group has equal mean to high-humidity group. iv. The low-humidity group has unequal mean to high-humidity group.

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Author:Amos Gilat
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Chapter1: Starting With Matlab
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In a randomized controlled trial conducted with children suffering from viral croup, 46 children were treated with low humidity while 46 other children were treated with high humidity. The low-humidity group had a mean score of 0.98 with a standard deviation of 1.22, while the high-humidity group had a mean score of 1.09 with a standard deviation of 1.11. Use a 0.05 significance level to test the claim that the two groups are from populations with the same mean. (Show solution)

A. The null hypothesis is                       

i. The low-humidity group has unequal mean with the high-humidity group.

ii. The low-humidity group has greater mean with the high-humidity group.

iii. The low-humidity group has equal mean with the high-humidity group.

iv. The low-humidity group has less mean with the high-humidity group.

B. The computed t-test statistic is             

i. 0.763

ii. 0.597

iii. 0.452

iv. 0.681

 

C. The critical/tabular t-test statistic is               

i. 1.678

ii. 2.013

iii. 2.014

iv. 1.679

 

D. Decision rule:       

i. Reject the null hypothesis.

ii. Do not reject the null hypothesis.   

    

E. The final conclusion is 

i. The low-humidity group has less mean to high-humidity group.

ii. The low-humidity group has greater mean to high-humidity group.

iii. The low-humidity group has equal mean to high-humidity group.

iv. The low-humidity group has unequal mean to high-humidity group.        

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