(10 points)Suppose a simple random sample of 36 McDonald\'s breakfast foods are

Question

(10 points)Suppose a simple random sample of 36 McDonald's breakfast foods are purchased. Of interest is the mean number of grams of saturated fat for this sample of 36 McDonald's breakfast foods. Based on the distrib rsrmoution described above, describe completely the sampling distribution of the resulting mean number of grams of saturated fat for this sample of 36 McDonald's breakfast foods 86-9 I-P(108) b. (10 points) Suppose a simple random sample of 36 McDonald's breakfast foods are purchased. Of interest is Based on the distribution described above, what is the probability that the mean number of sample of 36 McDonald's breakfast foods is between 8.5 and 10 grams? grams of saturated fat for this

Explanation / Answer

(Note:please confirm if std deviaiton is 25 or 5 cause that seems too big a number for variation in weight)

a)from central limit theorum as sample size is >30

resuling distirbution of mean will be approximately normal with mean =9

and std deviation of mean =25/(36)1/2 =4.1667

b) probability =P(8.5<X<10)=P((8.5-9)/4.1667<Z<(10-9)/4.1667)=P(-0.12<Z<0.24)=0.5948-0.4522=0.1426

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