Question

In: Statistics and Probability

The weights of baby boys at six months is normally distributed with a mean of 17.25...

  1. The weights of baby boys at six months is normally distributed with a mean of 17.25 lbs. and a standard deviation of 2.0 lbs. By an age of twelve months, the mean increases to 22.50 lbs. and the standard deviation is 2.2 lbs.
    1. Which age group has the wider distribution?
      1. When baby turn 1 year old has the wider dist.
    2. What percentage of the twelve-month old boys weigh more than 26.9 lbs.?
    3. What percentage of six-month old boys weigh between 15.25 lbs. and 19.25 lbs.?
    4. A twelve-month old boy who weighs 24.7 lbs. is what percentile for weight?

Solutions

Expert Solution



Related Solutions

Distributions: List the characteristics of a normal distribution. The weights of baby boys at six months...
Distributions: List the characteristics of a normal distribution. The weights of baby boys at six months is normally distributed with a mean of 17.25 lbs. and a standard deviation of 2.0 lbs. By an age of twelve months, the mean increases to 22.50 lbs. and the standard deviation is 2.2 lbs. Which age group has the wider distribution? What percentage of the twelve-month old boys weigh more than 26.9 lbs.? What percentage of six-month old boys weigh between 15.25 lbs....
Baby weights: Following are weights in pounds for random samples of 19 newborn baby boys and...
Baby weights: Following are weights in pounds for random samples of 19 newborn baby boys and baby girls born in Denver in 2011 . Boxplots indicate that the samples come from populations that are approximately normal. Let μ1 denote the mean weight of boys and μ2 denote the mean weight of girls. Can you conclude that the mean weights differ between boys and girls? Use the =α0.10 level and the P -value method with the table. Boys 7.6 6.4 8.1...
Suppose that the gain from a portfolio during six months is normally distributed with a mean...
Suppose that the gain from a portfolio during six months is normally distributed with a mean of $3.5 million and a standard deviation of $12 million. Calculate and interpret the VaR of the portfolio with a 99% confidence level.
The weights of the fish in a certain lake are normally distributed with a mean of...
The weights of the fish in a certain lake are normally distributed with a mean of 20 lb and a standard deviation of 9. If 9 fish are randomly selected, what is the probability that the mean weight will be between 17.6 and 23.6 lb? Write your answer as a decimal rounded to 4 places.
The weights of the fish in a certain lake are normally distributed with a mean of...
The weights of the fish in a certain lake are normally distributed with a mean of 9.4 lb and a standard deviation of 2.3. If 42 fish are randomly selected, what is the probability that the mean weight will be more than 9.7 lb?
The weights of the fish in a certain lake are normally distributed with a mean of...
The weights of the fish in a certain lake are normally distributed with a mean of 13 pounds and a standard deviation of 6. If a sample of 9 fish are randomly selected, what is the probability that the mean weight will be between 10.2 and 16.6 pounds?
The weights of the fish in a certain lake are normally distributed with a mean of...
The weights of the fish in a certain lake are normally distributed with a mean of 9.9 lb and a standard deviation of 2.1. If 75 fish are randomly selected, what is the probability that the mean weight will be between 7.7 and 10.4 lb?
The weights of the fish in a certain lake are normally distributed with a mean of...
The weights of the fish in a certain lake are normally distributed with a mean of 15.2 pounds and a standard deviation of 4 pounds. If 6 fish are randomly selected, find the probability that the mean weight is between 13.6 and 17.6 pounds. Round your answer 4 places after the decimal point.
The weights of the fish in a certain lake are normally distributed with a mean of...
The weights of the fish in a certain lake are normally distributed with a mean of 20 lb and a standard deviation of 9. a. If one fish is randomly selected, what is the probability that the mean weight will be between 17.6 and 23.6 lb? b. If 9 fish are randomly selected, what is the probability that the mean weight will be between 17.6 and 23.6 lb?
The weights of the fish in a certain lake are normally distributed with a mean of...
The weights of the fish in a certain lake are normally distributed with a mean of 15.9 pounds and a standard deviation of 5.1 pounds. If 5 fish are randomly selected, find the probability that the mean weight is between 11.4 and 18.6 pounds. Round your answer 4 places after the decimal point.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT