Question
The patient recovery time from a particular surgical procedure is normally distributed with a mean of 5.3 days and a standard deviation of 2.1 days.
The patient recovery time from a particular surgical procedure is normally distributed with a mean of 5.3 days and a standard deviation of 2.1 days.
(61.) What is the z-score for a patient who takes ten days to recover? a. 1.5 b. 0.2 c. 2.2 d. 7.3
(63.) The heights of the 430 National Basketball Association players were listed on team rosters at the start of the 2005-2006 season. The heights of basketball players have an approximate normal distribution with mean, = 79 inches and a standard deviation, = 3.89 inches. For each of the following heights, calculate the z-score and interpret it using complete sentences. a. 77 inches b. 85 inches c. If an NBA player reported his height had a z-score of 3.5, would you believe him? Explain your answer.
(65.) Kyle's doctor told him that the z-score for his systolic blood pressure is 1.75. Which of the following is the best interpretation of this standardized score? The systolic blood pressure (given in millimeters) of males has an approximately normal distribution with mean = 125 and standard deviation = 14. If X = a systolic blood pressure score then X ~ N (125, 14). a. Which answer(s) is/are correct? i. Kyle's systolic blood pressure is 175. ii. Kyle's systolic blood pressure is 1.75 times the average blood pressure of men his age. iii. Kyle's systolic blood pressure is 1.75 above the average systolic blood pressure of men his age. iv. Kyles's systolic blood pressure is 1.75 standard deviations above the average systolic blood pressure for men. b. Calculate Kyle's blood pressure.
(7.61.) Previously, De Anza statistics students estimated that the amount of change daytime statistics students carry is exponentially distributed with a mean of $0.88. Suppose that we randomly pick 25 daytime statistics students. a. In words, = ____________ b. ~ _____(_____,_____) c. In words, X = ____________ d. X ~ ______ (______, ______) e. Find the probability that an individual had between $0.80 and $1.00. Graph the situation, and shade in the area to be determined. f. Find the probability that the average of the 25 students was between $0.80 and $1.00. Graph the situation, and shade in the area to be determined. g. Explain why there is a difference in part e and part f.
(7.67.) Determine which of the following are true and which are false. Then, in complete sentences, justify your answers. a. When the sample size is large, the mean of X is approximately equal to the mean of . b. When the sample size is large, X is approximately normally distributed. c. When the sample size is large, the standard deviation of X is approximately the same as the standard deviation of .
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