A randomized controlled trial is run to evaluate the effectiveness of a new drug for asthma in children. A total of 250 children are randomized to either the new drug or a placebo (125 per group). The mean age of children assigned to the new drug is 12.4 with a standard deviation of 3.6 years. The mean age of children assigned to the placebo is 13.0 with a standard deviation of 4.0 years. Is there a statistically significant difference in ages of children assigned to the treatments? Run the appropriate test at a 5%level of significance.

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Asked Dec 5, 2019
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A randomized controlled trial is run to evaluate the effectiveness of a new drug for asthma in children. A total of 250 children are randomized to either the new drug or a placebo (125 per group). The mean age of children assigned to the new drug is 12.4 with a standard deviation of 3.6 years. The mean age of children assigned to the placebo is 13.0 with a standard deviation of 4.0 years. Is there a statistically significant difference in ages of children assigned to the treatments? Run the appropriate test at a 5%
level of significance.
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Expert Answer

Step 1

Let the random variables are as:

X1: New drug

X2: Placebo

Step 2

Given information:

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n =125 x, =12.4 S, = 3.6 n2 =125 x, =13.0 S2 = 4.0 a = 0.05

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Step 3

The hypotheses ...

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Null hypothesis, H¸ :H = H2 Alternative hypothesis, H¸ : 4 # Hz

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Hypothesis Testing

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