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Fill in the blanks. [Enter an exact positive number as an integer, fraction, or decimal.) In a normal distribution, x = ? and z = 1.25. This tells you that x = ? is :l standard deviations to the ofthe mean. The heights of the 431] National Basketball Association players were listed on team rosters at the start of the 211052006 season. The heights of basketball players have an approximate normal distribution Iwith mean, .u = T9 inches and a standard deviation, cr = 3.89 inches. El Part {a} For the following height. calculate the z-score and interpret it using complete sentences. [Round your answer to two decimal places.) T3 inches The z-score is :I .An NBA player whose height is T3 inches is average. El Part {lo} For the following height. calculate the z-score and interpret it using complete sentences. (Round your answer to two decimal places.) 31 inches The z-score is :I .An NBA player whose height is 81 inches is ayerage. El Part {c} If an NBA player reported his height had a zscore of 3.4. would you believe him? Explain your answer. (Round your answer to two decimal pla oes.) A z-score of 3.4 equates to a height of :I inches. There are NBA players this tall. so it is that the play er's z-score is 3.4. The systolic blood pressure (given in millimeters) of males has an approximately normal distribution with mean & = 115 and standard deviation o = 18. (a) Calculate the z-scores for the male systolic blood pressures 90 and 140 millimeters. (Round your answers to two decimal places.) 90 mm Z 140 mm Z = (b) If a male friend of yours said he thought his systolic blood pressure was 2.5 standard deviations below the mean, but that he believed his blood pressure was between 90 and 140 millimeters, what would you say to him? (Enter your numerical answer to the nearest whole number.) He is --Select--- v because 2.5 standard deviations below the mean would give him a blood pressure reading of millimeters, which is ---Select---|the range of 90 to 140 millimeters.The patient recovery time from a particular surgical procedure is normally distributed with a mean of 5.5 days and a standard deviation of 1.6 days. What is the 90th percentile for recovery times? (Round your answer to two decimal places.) daysThe length of time it takes to find a parking space at 9 A.M. follows a normal distribution with a mean of 5 minutes and a standard deviation of 2 minutes. Seventy percent of the time, it takes more than how many minutes to find a parking space? (Round your answer to two decimal places.) min