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A. Solve the problem involving sampling distributions of the sample mean. Follow the steps and may use a table to neatly show the solution. It

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Solve the problem involving sampling distributions of the sample mean. Follow the steps and may use a table to neatly show the solution. It was said that the average grams of protein of a large egg is 6.28 grams and the standard deviation is .33 grams. Assume that the variable is normally distributed. Answer the following questions. (a) If a large egg is selected, what is the probability that the protein content will be more than 6.40 grams? Steps: Solution: 1.Identify the given and what is asked for 2. Identify the formula to be used 3. Solve the problem 4. Illustration 5. Conclusion (b) If a sample of 10 large egg is selected, what is the probability that the mean of the sample will be larger than 6.40 grams? Steps: Solution: 1.Identify the given and what is asked for 2. Identify the formula to be used 3. Solve the problem 4. Illustration 5. Conclusion1. When is the following formula used? a. z =. b. z =- 2. Remember that the population mean and the of its means are always equal (], = )- 3. The variance of the sampling distribution of means is equal to the variance of the population divided by the sample size n. Write the formula: 4. The standard deviation of the sampling distribution of the means is equal to the standard deviation of the population divided by the square root of the sample size n. Write the formula

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