A study by the national Center for Health Statistics suggested that women between ages of 20 and 29 in the United States have a mean BMI (kg/m2) of 26.8 with standard deviation of 7.4. Let us assume that these BMIs are normally distributed. SHOW ALL THE WORK 1. BMI ≥30 is classified as being overweight. What is the probability of a woman in this range is overweight according to this definition? 2. BMI ≤18.5 is considered to be underweight. What proportion of women are underweight? 3. What proportion of women have a BMI between 18.5 and 30?
Added by Gregory S.
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• Mean (μ) = 26.8 • Standard deviation (σ) = 7.4 Show more…
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The National Center for Health Statistics conducted a study of body mass index (BMI) among women ages 20-29. They found the mean BMI for this group was 26.8 with a standard deviation of 7.4 (assume BMI is normally distributed). Use the following to answer Questions 1 to 4. Body mass index (BMI) ≤18.5 Underweight 18.6-24.9 Healthy weight 25-29.9 Overweight ≥30 Obese 1. What is the average BMI of women ages 20-29 in the population? (Enter a number. Do not round.) 2. What value of BMI is +2 SD above the mean? (Enter a number. Do not round.) 3. What value of BMI is -1 SD below the mean? (Enter a number. Do not round.) 4. Would a BMI of 42.8 be considered common or rare? a. common b. rare
Ahmet Y.
Body mass index (BMI) is computed as the ratio of weight in kilograms to height in meters squared. The distribution of BMI is approximately normal for specific gender and age groups. For females aged 30-39, the mean BMI is 24.5, with a standard deviation of 3.3. a. What proportion of females aged 30-39 has a BMI over 25? b. Persons with a BMI of 30 or greater are considered obese. What proportion of females aged 30-39 is obese? c. Suppose we classify females aged 30-39 in the top 10% of the BMI distribution as high risk. What is the threshold for classifying a female as high risk?
The National Health and Nutrition Examination Survey (NHANES) indicates that more U.S. adults are becoming either overweight or obese, which is defined as having a body mass index (BMI) of 25 or more. Data from the Centers for Disease Control and Prevention (CDC) indicate that for females aged 35 to $55,$ the mean BMI is 25.12 with a standard deviation of $5.3 .$ In a similar study that examined female cardiovascular technologists who were registered in the United States and who were within the same age range, the following BMI scores resulted: Test the claim that the cardiovascular technologists have a lower average BMI than the general population. Use $\alpha=0.05$ a. Describe the parameter of interest. b. State the null and alternative hypotheses. c. Calculate the value for $z \star$ and find the $p$ -value. d. State your decision and conclusion using $\alpha=0.05$
Introduction to Statistical Inferences
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