gibbs baby food company wishes to compare the weight gain of infants

Gibbs Baby Food Company wishes to compare the weight gain of infants using its brand versus its competitor’s. A sample of 40 babies using the Gibbs products revealed a mean weight gain of 7.6 pounds in the first three months after birth. For the Gibbs brand, the population standard deviation of the sample is 2.3 pounds. A sample of 55 babies using the competitor’s brand revealed a mean increase in weight of 8.1 pounds. The population standard deviation is 2.9 pounds.

1.
State the decision rule for 0.05 significance level : H0: μG ≥ μC ; H1: μG < μC. (Negative value should be indicated by a minus sign. Round your answer to 2 decimal places.)

Reject H0 if z <

2.
Compute the value of the test statistic. (Negative value should be indicated by a minus sign. Round your answer to 2 decimal places.)

Value of the test statistic

3.

p-value is

4.
Can we conclude that babies using the Gibbs brand gained less weight? Use the 0.05 significance level.

(550 words)

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