Find the point estimate for the true difference between the given population means. Round your answer to three decimal places.

(HINT: The point estimate for the difference between the population means is found by simply subtracting one sample mean from the other.)

Sample 1: Weights (in Grams) of Soap Bar A:

129, 127, 129, 129, 128, 130, 127, 129, 128, 131, 127

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Sample 2: Weights (in Grams) of Soap Bar B:

131, 126, 132, 129, 128, 131, 131, 130, 128, 129, 126, 132, 131

We are given data of two samples and we have to find the best point estimate of the true difference between two population means. Remember that in absence of data about population the best estimator is the sample data. So, we will find the means of both sample data and find the difference of that means. This difference between the means of sample data will be the best point estimate for the true difference between the population means.

Formula to calculate the mean is:

[tex]Mean=\frac{\text{Sum of Values}}{\text{Number of Values}}[/tex]

Mean of Sample 1:

[tex]Mean=\frac{1414}{11}=128.55[/tex]

Mean of Sample 2:

[tex]Mean=\frac{1684}{13}=129.54[/tex]

Therefore the best point estimate for difference between two population means would be = Mean of Sample 1 - Mean of Sample 2

= 128.55 - 129.54

= - 0.99