Central Limit Theorem: The average number of milligrams (mg) of sodium in a certain brand of low-salt microwave frozen dinners is 650 mg, and the standard deviation is 35 mg. Assume the variable is normally distributed (Round your answers to 4 decimal places). (a) If a single dinner is selected, find the probability that the sodium content will be more than 670 mg. (a). (b) If a sample of 10 dinners is selected, find the probability that the mean of the sample will be larger than 670 mg. (c) why is the probability for part a is greater than part b?

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Central Limit Theorem: The average number of milligrams (mg) of sodium in a certain brand of low-salt microwave frozen dinners is 650 mg, and the standard deviation is 35 mg. Assume the variable is normally distributed (Round your answers to 4 decimal places). (a) If a single dinner is selected, find the probability that the sodium content will be more than 670 mg. (a). (b) If a sample of 10 dinners is selected, find the probability that the mean of the sample will be larger than 670 mg. (c) why is the probability for part a is greater than part b?

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