Provide an appropriate response. 10) A nurse measured the blood pressure of each person who visited her clinic. Following is a relative-frequency histogram for the systolic blood pressure readings for those people aged between 25 and 40. The blood pressure readings were given to the nearest whole number. Approximately what percentage of the people aged 25-40 had a systolic blood pressure reading between 110 and 119 inclusive? Relative Frequency 0.35 0.30 0.25 0.20 0.15 0.10 0.05- 0.00 100 110 120 130 140 150 160 Systolic Blood Pressure (mm Hg) b) Approximately what percentage of the people aged 25-40 had a systolic blood pressure reading between 110 and 139 inclusive? c) What class width was used to construct the relative frequency distribution? d) Identify the center (midpoint) of the third class. e) Find the class boundary of the third class. 11) A report states that the mean household income last year for a certain rural county was $44, 100 and the median was $35,300. If a histogram were constructed for the incomes of all households in the county, would you expect it to be skewed to the right, to the left, or approximately symmetric? mean = 4410 0 medium = 35 30 0 12) Find the sample standard deviation for the following data set: mean is to the right 23 27 12 17 16 b) Find the mean, mode, median, and midrange for the above data set. c) A student has an average of 20 on six chapter quizzes. If the student's scores on five of the quizzes are above, what was the score on the remaining quiz? d) If the standard deviation of a set of data is zero, what can you conclude about the set of values? 318) On a certain day, a cheese packaging facility packaged 540 units of mozzarella cheese. Some of these packages had major flaws, some had minor flaws, and some had both major and minor flaws. The following table presents the results. Minor Flaw No Minor Flaw Major Flaw 25 35 No Major Flaw 53 427 Find the probability that randomly chosen cheese package has a flaw (major or minor). b) Find the probability that randomly chosen cheese package has no major flaw. c) Find the probability that randomly chosen cheese package has a major flaw. d) Find the probability that randomly chosen package has a major flaw given that it has a minor flaw. Note: "Flaw" and "No Flaw" may be considered confusing. 19) A recent study found that the life expectancy of a people living in Africa is normally distributed with an average of 53 years with a standard deviation of 7.5 years. If a person in Africa is selected at random, what is the probability that the person will die before the age of 65? b) What is the probability that the person will die after the age of 65? c) What is the probability that the person will die between the ages of 41 and 65? d) If 1000 people living in Africa are selected at random, how many of them do you expect to die after the age of 65? * e) Find Poo, which separates the bottom 90% from the top 10%. This is known as the 90th percentile. f) If a sample of 36 people living in Africa are selected randomly, find the probability that the sample mean is after the age of 65? Use the standard error of the mean if the finite population correction factor is ignored. *g) Use the empirical rule to find the percentage that the person in Africa will die between the ages of 38 and 68. h) What can you conclude from Chebyshev's theorem about the percentage of people in Africa will die between 38 and 68? Note: This example may be inaccurate information based on today. ESSAY 20) Define the central limit theorem and its relationship to the sampling distribution of sample means. Define how you can approximate a normal distribution from an original population that is not normally distributed13) The following table presents the heights (in inches) of a sample of college basketball players. Height (in.) Frequency 68-71 16 72 - 75 41 76 - 79 70 80 - 83 60 84 - 87 15 Considering the data to be a population, approximate the standard deviation of the heights. Hint: Consider the rule of thumb, that is, range = 19 and s = 4.75 b) Approximate the mean of the heights. 14) A student received the following grades last semester. Find the student's semester grade point average. Course Credits Grade/Points Statistics A / 4.0 Physics F / 0.0 Sociology B / 3.0 HNW UTI Literature B / 3.0 Tennis D / 1.0 Use the boxplot to identify the maximum value, minimum value, median, first quartile, third quartile, and interquartile range. 15) 7 8 9 10 11 12 13 14 b) Identify any outlier(s), if applicable. Hint: The interquartile range is 3, not 4. 16) In a poll of 522 university students, 219 said that they were opposed to legalizing marijuana. What is the probability that a surveyed student opposes legalization of marijuana? 17) Fill in the missing value so that the following table represents a probability distribution. 2 3 4 5 P(x) 0.24 0.5 ? 0.02 Recall: Two Requirements for a Probability Distribution are: 1. The sum of the probabilities of all the events in the sample space must equal 1. 2. The probability of each event in the sample space must be between or equal to 0 and 1