Question

Walmart sells a (1) pound package of ground beef, but the managers feel too much meat is being put into the package thus losing money for the grocery chain. A random sample of 45 packages came in a t weight of 1.01 pounds with a standard deviation of .07 pounds. Run a hypothesis P-TEST to see if there is too much packed on average. Assume alpha=.05

Answer 1

As we are testing here whether there is too much beef in the package, this is a right tailed test, where we are testing whether the mean is more than 1. The test statistic here is computed as:

For n - 1 = 44 degrees of freedom, the p-value here is obtained from the t distribution tables as: p = P(t₄₄ > 0.9583) = 0.1716

As the p-value here is 0.1716 > 0.05 which is the level of significance, therefore the test is not significant here and we cannot reject the null hypothesis here. Therefore we dont have sufficient evidence here that too much meat is being put into the package