Minitab_Assignment.docx Statistics for Laboratory Sciences MATH 1040 Assignment 1 due at 11 pm on 26 July 2020 By (Name of Student) (Student Affiliation) (Date of Submission) Question 1 (5+7 = 12 marks) How com
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Minitab_Assignment.docx Statistics for Laboratory Sciences MATH 1040 Assignment 1 due at 11 pm on 26 July 2020 By (Name of Student) (Student Affiliation) (Date of Submission) Question 1 (5+7 = 12 marks) How common is the condition? Osteoporosis is a condition in which the bones become brittle due¨to loss of minerals. To diagnose osteoporosis, an elaborate apparatus measures bone mineral density (BMD). BMD is usually reported in standardized form. The standardization is based on a population of healthy young adults. The World Health Organization (WHO) criterion for osteoporosis is a BMD 2.5 standard deviations below the mean for young adults. BMD measurements in a population of people similar in age and sex roughly follow a Normal distribution. (a)What percent of healthy young adults have osteoporosis by the WHO criterion? Answer A Z - score of 2.50 corresponds to 99.38%, meaning 99.38% of the population have scores that are lower than the standard deviations of 2.5 above the mean value. Because it is a normal distribution, 99.38% of the population have scores greater than 2.5 standard deviations below the mean. This means 0.62% of the population has osteoporosis. (b)Women aged 70 to 79 are of course not young adults. The mean BMD in this age is about -2 on the standard scale for young adults. Suppose that the standard deviation is the same as for young adults. What percent of this older population has osteoporosis? Answer Because women that are within the age 70 “ 79 have BMD. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . .. .. . . . . . . . . . . . . . . . . . .. . . . .
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