Include an appropriately labeled and shaded Normal curve for
Last updated: 5/28/2023
Include an appropriately labeled and shaded Normal curve for each part There should be three separate curves a What is the probability that a baby will have a length of 20 4 inches or more b What is the probability that a baby will have a length of 21 4 inches or more c What is the probability that a baby will be between 18 and 21 inches in length 6 30 White Blood Cells The distribution of white blood cell count per cubic millimeter of whole blood is approximately Normal with mean 7500 and standard deviation 1750 for healthy patients Include an appropriately labeled and shaded Normal curve for each part There should be three separate curves a What is the probability that a randomly selected person will have a white blood cell count of between 7000 and 10 000 b What is the probability that a randomly selected person will have a white blood cell count of between 5000 and 12 000 c What is the probability that a randomly selected person will have a white blood cell count of more than 10 000 d Are the answers to parts b and c the same or different Explain Height Inches 59 5 5 2 5 4 5 6 5 8 5 10 6 60 61 62 63 64 65 66 67 68 69 70 71 72 Frequency 2 5 7 10 16 23 19 15 9 6 6 3 1 1 TRY 6 39 Probability or Measurement Inverse Example 7 The Normal modal 500 100 describes the distri percentage SAI takers ween Suu and 600 6 37 New York City Weather New York City s mean mini mum daily temperature in February is 27 F http www ny com Suppose the standard deviation of the minimum temperature is 6 F and the distribution of minimum temperatures in February is approximately Normal What percentage of days in February has minimum temperatures below freezing 32 F score 6 38 Women s Heights Assume for this question that college women s heights are approximately Normally distributed with a mean of 64 6 inches and a standard deviation of 2 6 inches Draw a well labeled Normal curve for each part a Find the percentage of women who should have heights of 63 5 inches or less b In a sample of 123 women according to the probability obtained in part a how many should have heights of 63 5 inches or less c The table shows the frequencies of heights for a sample of women collected by statistician Brian Joiner in his statistics class Count the women who appear to have heights of 63 inches or less by looking at the table They are in the oval SECTION EXERCISES CHAPTER 6 29 6 43 Inverse Normal Standard Assume a standard Normal di tribution Draw a separate well labeled Normal curve for each part a Find the z score that gives a left area of 0 7123 b Find the z score that gives a left area of 0 1587 6 44 Inverse Normal Standard Assume a standard Normal di tribution Draw a separate well labeled Normal curve for each part a Find an approximate z score that gives a left area of 0 7000 b Find an approximate z score that gives a left area of 0 9500 TRY 6 45 Females SAT Scores Example 8 According to the College Board the mean quantitative SAT score for female college bound high school seniors in 2012 was 500 SAT scores are approximately Normally distributed with a population standard deviation of 100 A scholarship committee wants to give awards to college bound women who score at the 96th percentile or above or the SAT What score does an applicant need Include a well labele Normal curve as part of your answer See page 299 for guidance 6 46 Males SAT Scores According to the College Board the mean quantitative SAT score for male college bound high school seniors in 2012 was 530 SAT scores are approximately Normally distributed with a population standard deviation of 100 What is th SAT score at the 96th percentile for male college bound seniors 6 47 Tall Club Women Suppose there is a club for tall people that requires that women be at or above the 98th percentile in height Assume that women s heights are distributed as N 64 2 5 Find wha