We want to do a comparison of cow's milk with plant-based milk as far as nutrition is concerned. Assume that we are interested in comparing the mean amount of protein in an 8-ounce glass of cow's milk with the mean amount of protein in an 8-ounce glass of almond milk. We take a large sample of n1 = 50 8-ounce glasses of cow's milk and get a sample mean amount of protein of 7.8 grams with a sample standard deviation of 2.4 grams. We take an independent large sample of n2 = 50 8-ounce glasses of almond milk and get a sample mean amount of protein of 5.2 grams with a sample standard deviation of 2.2 grams. Assume that you are asked to construct a 95% confidence interval for the difference between the mean amount of protein in an 8-ounce glass of cow's milk and the mean amount of protein in an 8-ounce glass of almond milk. What is the correct number of degrees of freedom for the t* multiplier for this confidence interval? Remember that we are using the simplest method for determining this.

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We want to do a comparison of cow’s milk with plant-based milk as far as nutrition is concerned. Assume that we are interested in comparing the mean amount of protein in an 8-ounce glass of cow’s milk with the mean amount of protein in an 8-ounce glass of almond milk.

We take a large sample of n₁ = 50 8-ounce glasses of cow’s milk and get a sample mean amount of protein of 7.8 grams with a sample standard deviation of 2.4 grams. We take an independent large sample of n₂ = 50 8-ounce glasses of almond milk and get a sample mean amount of protein of 5.2 grams with a sample standard deviation of 2.2 grams.

Assume that you are asked to construct a 95% confidence interval for the difference between the mean amount of protein in an 8-ounce glass of cow’s milk and the mean amount of protein in an 8-ounce glass of almond milk.

What is the correct number of degrees of freedom for the t* multiplier for this confidence interval? Remember that we are using the simplest method for determining this.
Transcribed Image Text:We want to do a comparison of cow’s milk with plant-based milk as far as nutrition is concerned. Assume that we are interested in comparing the mean amount of protein in an 8-ounce glass of cow’s milk with the mean amount of protein in an 8-ounce glass of almond milk. We take a large sample of n₁ = 50 8-ounce glasses of cow’s milk and get a sample mean amount of protein of 7.8 grams with a sample standard deviation of 2.4 grams. We take an independent large sample of n₂ = 50 8-ounce glasses of almond milk and get a sample mean amount of protein of 5.2 grams with a sample standard deviation of 2.2 grams. Assume that you are asked to construct a 95% confidence interval for the difference between the mean amount of protein in an 8-ounce glass of cow’s milk and the mean amount of protein in an 8-ounce glass of almond milk. What is the correct number of degrees of freedom for the t* multiplier for this confidence interval? Remember that we are using the simplest method for determining this.
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