Problem

Find the point estimate for the true difference between the given population means. Round your answer to six decimal places. Weights (in Grams) of Hamburger Patty A: 104, 106, 104, 106, 103, 103, 106, 104, 103, 104, 106 Weights (in Grams) of Hamburger Patty B: 107, 105, 106, 108, 106, 105, 106, 108,103, 105, 104,107, 103 Answer Tables How to enter your answer (opens in new window) । grams

Solution

Step 1 :Given the weights of Hamburger Patty A and Patty B, we are to find the point estimate for the true difference between the given population means.

Step 2 :The weights of Hamburger Patty A are: \([104, 106, 104, 106, 103, 103, 106, 104, 103, 104, 106]\)

Step 3 :The weights of Hamburger Patty B are: \([107, 105, 106, 108, 106, 105, 106, 108, 103, 105, 104, 107, 103]\)

Step 4 :The mean of a population is calculated by summing all the values and dividing by the number of values.

Step 5 :The mean of Hamburger Patty A, denoted as \(mean_A\), is calculated as \(\frac{104+106+104+106+103+103+106+104+103+104+106}{11}\) which equals to \(104.45454545454545\)

Step 6 :The mean of Hamburger Patty B, denoted as \(mean_B\), is calculated as \(\frac{107+105+106+108+106+105+106+108+103+105+104+107+103}{13}\) which equals to \(105.61538461538461\)

Step 7 :The point estimate for the true difference between the given population means is calculated by subtracting the mean of Hamburger Patty A from the mean of Hamburger Patty B, i.e., \(mean_B - mean_A\)

Step 8 :Substituting the values, we get \(105.61538461538461 - 104.45454545454545\) which equals to \(1.160839\)

Step 9 :Final Answer: The point estimate for the true difference between the given population means is \(\boxed{1.160839}\)

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