Question

Serum cholesterol levels in men aged 18 to 24 years have a normal distribution with a mean 178.1mg/100 ml and standard deviation 40.7 mg/100 ml. The. Randomly choosing a man between 18 and 24 years old, determine the probability of your serum cholesterol level is less than 200. B. Whether a serum cholesterol level should be judged too high if it is above 7% higher, determine the value of the separation level of levels that are too high. w. Determine a 90% reference range for serum cholesterol level among men from 18 to 24 years old.

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Answer to a math question Serum cholesterol levels in men aged 18 to 24 years have a normal distribution with a mean 178.1mg/100 ml and standard deviation 40.7 mg/100 ml. The. Randomly choosing a man between 18 and 24 years old, determine the probability of your serum cholesterol level is less than 200. B. Whether a serum cholesterol level should be judged too high if it is above 7% higher, determine the value of the separation level of levels that are too high. w. Determine a 90% reference range for serum cholesterol level among men from 18 to 24 years old.

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Tiffany
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Dado: Média (μ) = 178,1 mg/100 ml Desvio padrão (σ) = 40,7 mg/100 ml Nível de colesterol (X) = 200 mg/100 ml Etapa 1: calcular a pontuação Z A fórmula do escore Z é: Z = (X - μ) / σ Substituindo os valores fornecidos: Z = (200 - 178,1) / 40,7 Z ≈ 0,5380 Etapa 2: Encontre a probabilidade associada ao escore Z Para encontrar a probabilidade associada ao escore Z, precisamos consultar a tabela de distribuição normal padrão ou usar uma calculadora estatística. Usando a tabela Z, descobrimos que a área à esquerda de Z ≈ 0,5380 é aproximadamente 0,7054. Portanto, a probabilidade de um homem entre 18 e 24 anos escolhido aleatoriamente ter um nível de colesterol sérico inferior a 200 mg/100 ml é de aproximadamente 0,7054 ou 70,54%. Observe que os valores usados no cálculo podem variar ligeiramente dependendo do nível de precisão usado e da tabela Z ou calculadora específica usada.

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