Similac Baby Formula Company wants to compare the weight gain of babies using it

Question

Similac Baby Formula Company wants to compare the weight gain of babies using its main brand versus its Soy formula. A sample of 40 babies using the Similac main brand revealed a mean weight gain of 7.6 pounds in the first three months after birth. For the Similac main brand the population standard deviation of the sample is 2.3 pounds. A sample of 55 babies using Soy formula revealed a mean increase in weight of 8.1 pounds. The population standard deviation is 2.9 pounds. At the .05 significance level, can we conclude that babies drinking the Soy brand gained less weight?

Use the five-step hypothesis testing procedure:

Step 1: What is the hypothesis?: Ho: H1:

Is it a one tail or two tail test?

Step 2: What is the significance level chosen?

Step 3: Step 3: State the decision rule, What is the rejection region?

Explanation / Answer

H0(NULL HYPOTHESIS) : babies drinking main brand gained less weight

H1(Alternative Hypothesis) : babies drinking soy brand gained less weight

one tailed test .(directional)

significance level = 0.05

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