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...

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 :H
   ₀
   : μ;_Gibbs ≥ μ;_Competitor; H
   ₁
   : μ_Gibbs <>_Competitor
   . (Negative value should be indicated by a minus sign. Round your answer to 2 decimal places.)
   

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

1. Compute thep-value.(Round your answer to 4 decimal places.)
   

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