Question

In: Statistics and Probability

Suppose body mass index (BMI) varies approximately to the normal distribution in a population of boys...

Suppose body mass index (BMI) varies approximately to the normal distribution in a population of boys aged 2-20. A national survey analyzed the BMI for American adolescents in this age range and found the µ=20 and the σ=1.75.

A) What is the 25th percentile of this distribution?

B) What is the z-score corresponding to finding a boy with at least a BMI 18.25?

C) What is the probability of finding a boy with at least this BMI, 18.25?

Solutions

Expert Solution

z - table given below


Related Solutions

Suppose that Body Mass Index (BMI) for a population of 30-60-year-old men follows a Normal distribution...
Suppose that Body Mass Index (BMI) for a population of 30-60-year-old men follows a Normal distribution with mean 26, and standard deviation 4. Q: Please calculate the range of BMI that 95% of subjects fall within: Suppose we know that the prevalence of asthma among American children is 11%. Researchers conducted a study among 600 children in Boston and found that 56 had asthma. Q:Suppose researchers originally planed to enroll 1000 children, but they had to reduce the sample size...
The mean body mass index (BMI) for boys age 12 is 23.6. An investigator wants to...
The mean body mass index (BMI) for boys age 12 is 23.6. An investigator wants to test if the BMI is higher in 12-year-old boys living in New York City. How many boys are needed to ensure that a two-sided test of hypothesis has 80% power to detect a difference in BMI of 2 units? Assume that the standard deviation in BMI is 5.7
4. The CDC publishes charts on Body Mass Index (BMI) percentiles for boys and girls of...
4. The CDC publishes charts on Body Mass Index (BMI) percentiles for boys and girls of different ages. Based on the chart for girls, the mean BMI for 6-year-old girls is listed as 15.2 kg/m2. The data from which the CDC charts were developed is old and there is concern that the mean BMI for 6-year old girls has increased. The BMIs of a random sample of 30 6-year-old girls are given below. 24.5 16.3 15.7 20.6 15.3 14.5 14.7...
A) Body mass index (BMI) in children is approximately normally distributed with a mean of 24.5...
A) Body mass index (BMI) in children is approximately normally distributed with a mean of 24.5 and a standard deviation of 6.2. A BMI between 25 and 30 is considered overweight. What proportion of children are overweight? (Hint: p[25<x<30]. Answer in 0.0000 format, NOT in percentage format. Round to 4 decimal places) B) If BMI larger than 30 is considered obese, what proportion of children are obese? (Answer in 0.0000 format, NOT in percentage format. Round to 4 decimal places)....
Discuss the process of calculating Body Mass Index (BMI).
Discuss the process of calculating Body Mass Index (BMI).
Maria is 52 years old, has a normal body mass index (BMI), and does not have...
Maria is 52 years old, has a normal body mass index (BMI), and does not have any health problems. She prides herself on being "into" holistic treatments and goes to the doctor only when her attempts to treat herself fail. She occasionally takes one aspirin a day because she has heard that it can prevent heart attacks. She tries to eat a healthy diet and uses supplements to give her added protection against chronic diseases, especially heart disease, which runs...
The body mass index​ (BMI) for a sample of men and a sample of women are...
The body mass index​ (BMI) for a sample of men and a sample of women are given below. Assume the samples are simple random samples obtained from populations with normal distributions. Men 30.930.9 22.322.3 29.929.9 30.930.9 27.227.2 31.731.7 26.526.5 20.220.2 26.626.6 30.530.5 Women nbspWomen 18.218.2 20.720.7 22.222.2 28.428.4 17.117.1 20.320.3 23.923.9 31.831.8 20.820.8 20.720.7 LOADING... Click the icon to view the table of​ Chi-Square critical values. a. Construct aa 9090​% confidence interval estimate of the standard deviation of BMIs for...
Design a modular program that calculates and displays a person's body mass index (BMI). The BMI...
Design a modular program that calculates and displays a person's body mass index (BMI). The BMI is often used to determine whether a person with a sedentary lifestyle is overweight or underweight for his or her height. A person's BMI is calculated with the following formula: BMI=Weight*703/Height^2. I need help making this to Java to just calculate BMI.
Body mass index (BMI) is a reliable indicator of body fat for most children and teens....
Body mass index (BMI) is a reliable indicator of body fat for most children and teens. BMI is calculated from a child’s weight and height and is used as an easy-to-perform method of screening for weight categories that may lead to health problems. For children and teens, BMI is age- and sex-specific and is often referred to as BMI-for-age. The Centers for Disease Control and Prevention (CDC) reports BMI-for-age growth charts for girls as well as boys to obtain a...
We claim that the body mass index (BMI) for men is statistically the same as the...
We claim that the body mass index (BMI) for men is statistically the same as the BMI for women. Data from a random sample of 40 men and 40 women is presented below: BMI-M BMI-F Mean 25.9975 Mean 25.74 Standard Error 0.542448 Standard Error 0.974862 Median 26.2 Median 23.9 Mode 23.8 Mode 19.6 Standard Deviation 3.430742 Standard Deviation 6.16557 Sample Variance 11.76999 Sample Variance 38.01426 Kurtosis -0.13645 Kurtosis 1.517743 Skewness 0.356785 Skewness 1.189501 Range 13.6 Range 27.2 Minimum 19.6 Minimum...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT