Problem 2: Suppose the amount of salt consumed per day by an American is normally distributed with mean 15 grams and standard deviation 5 grams, and we take a random sample of 10 Americans and average their daily salt intake. a. Check the necessary assumptions and conditions for using the Normal Model for your sampling distribution. b. What is the probability that the sample mean will be less than 14? 0 2 c. What is the probability that the sample mean will be greater than 17? 0 2 d. What is the probability that the sample mean will be between 13 and 19? 0 2

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Hi I need help answering these questions for sampling distributions, thank you.

Problem 2: Suppose the amount of salt consumed per day by an American is
normally distributed with mean 15 grams and standard deviation 5 grams, and we
take a random sample of 10 Americans and average their daily salt intake.
a. Check the necessary assumptions and conditions for using the Normal Model
for your sampling distribution.
b. What is the probability that the sample mean will be less than 14?
0
2
c. What is the probability that the sample mean will be greater than 17?
0
2
d. What is the probability that the sample mean will be between 13 and 19?
0
2

Image Transcription

Problem 2: Suppose the amount of salt consumed per day by an American is normally distributed with mean 15 grams and standard deviation 5 grams, and we take a random sample of 10 Americans and average their daily salt intake. a. Check the necessary assumptions and conditions for using the Normal Model for your sampling distribution. b. What is the probability that the sample mean will be less than 14? 0 2 c. What is the probability that the sample mean will be greater than 17? 0 2 d. What is the probability that the sample mean will be between 13 and 19? 0 2

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