normal distributions statistics

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1. 2. 3. 4. 5. 6. 7. What percentage of observations from a standard normal distribution are below a z-value of 2.15? What percentage of observations from a standard normal distribution are above a z value of 2.15? What percentage of observations from a standard normal distribution are above a z value of 2.15? What percent of observations from a standard normal distribution are between -2.15 and 2.15? Based on your answers to the above questions, list two facts that you notice about the standard normal distribution. Each fact is worth 2 points. (Please write your answer in complete sentences.) The average number of milligrams of sodium in a certain low-salt microwave frozen dinners is 540 mg, and the standard deviation is 35 mg. Assume the variable is normally distributed. If a single dinner is selected, find the probability that the sodium content will be more than 550 mg. If a sample of 10 dinners is selected , find the probability that the mean of the sample will be larger than 550 mg. 8. Why is the probability for question #6 is greater than that for question #7. (Please write your answer in complete sentences.)
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