Suppose that the weights of 3200 registered female Great Danes in the United States are distributed normally with a mean of 115 lb. and a standard deviation of 5.4 lb.Approximately how many of the Great Danes weigh more than 125.8 lbs.? Round to the nearest whole number

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1)Suppose that the weights of 3200 registered female Great Danes in the United States are distributed normally with a mean of 115 lb. and a standard deviation of 5.4 lb.Approximately how many of the Great Danes weigh more than 125.8 lbs.? Round to the nearest whole number

2) Body mass index, or BMI, of 20-year-old men is normally distributed with a mean of 23 and a standard deviation of 3.8. Twenty-year-old Allan’s BMI has az-score of 1.25. What is Allan’s BMI?

3) An experiment compares weight of fish for two different brands fish food. Nacho Average Minosfish food has a mean fish weight 10 lbs. and a standard deviation of 1.5 lbs. Impossible Minos fish food has a mean fish weight of 12 lbs. and a standard deviation of 1 lb. A fish is measured to be 11.25 lbs. Which brand of fish food, Nacho Average Minos or Impossible Minos, is more likely to have been used to feed this fish?

4) Height of 10th grade boys is normally distributed with a mean of 63.5 in. and a standard deviation of 2.9 in.The area greater than the z-score is the probability that a randomly selected 14-year old boy exceeds 70 in.What is the probability that a randomly selected 10th grade boy exceeds 70 in.?

5) Heights for 16-year-old boys are normally distributed with a mean of 68.3 in. and a standard deviation of 2.9 in.Find thez-score associated with the 96th percentile. Find the height of a 16-year-old boy in the 96th percentile.State your answer to the nearest inch

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