Question

In: Statistics and Probability

Part 2. As a school nutritionist, you are also interested in tracking whether or not children...

Part 2. As a school nutritionist, you are also interested in tracking whether or not children are getting enough calcium in their diet. It is recommended that teenagers consume at least 1,300mg per day of calcium. Assume the average teenager in your school consumes 1,200mg, with a SD of 400mg. 5. Calculate the mean of the sampling distribution for average calcium consumed 6. Calculate the standard error of the mean of that sampling distribution (for samples of 30) 7. Calculate the Z-score associated with 1,300mg of calcium in your sampling distribution 8. For samples of 30 teenagers per class, what is the probability a class average for calcium consumption will fall below the recommended 1,300mg? (Write as decimal, not percentage)

Expert Solution

Solution :

Given that ,

mean = = 1200

standard deviation = = 400

5)

= 1200

6)

n = 30

= / n = 400 / 30 = 73.0297

7)

= 1300

z = ( - ) / = (1300 - 1200) / 73.0297 = 1.37

z score = 1.37

8)

P( < 1300) = P(( - ) / < (1300 - 1200) / 73.0297

= P(z < 1.37)

= 0.9147

Probability = 0.9147

orchestra answered 1 year ago

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