In a randomly controlled trial conducted with children suffering from croup, 46 randomly selected children were treated with ow humidity while another group of randomly selected children were treated with high humidity. Using a Wesley Croup test score, the low humidity group had a mean score of 0.98 with a standard deviation of 122, while the high humidity group had a mean score of 1.09 with a standard deviation of 1.11. The claim hypotheses at the 0.05 level to test the claim.
a) Correctly state the hypotheses and label the claim
b) Draw a diagram correctly showing the sampling distribution
c) Calculate the test statistics
d) Give the p value
e) Tell if you reject/fail to reject the null hypothesis
f) In plain English what can be said of the claim.
The solution gives detailed steps on conducting a two sample t test for equal means of two groups. All the formula and calculations are shown and explained.