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What proportion of data matches each of the following scenarios? Fizzsprockets have a mean length of 31 cm and a standard deviation of 0.4 cm. How many Choose... fizzsprockets are between 30.2 cm and 31.8 cm? The mean wingspan of vultures is 1.5 m with a standard deviation of 0.1 m. How many vultures Choose... have a wingspan under 1.2 m? "Average" height at age 10 is defined as the population within one standard deviation of the mean. How much of the population is "average"? Choose... about 50% Check about 99.8% about 68.2% about 0.1% about 2.1% 100% about 95.5% about 34.1% about 13.6%Test scores for the statistics unit exam are normally distributed with a mean score of 69% and a standard deviation of 5%. Since it's a stats test, students are given their score as a z-score. (Ha ha ha! So funny, Mr. Armstrong...) If a student received thier grade as a z-score of -2, determine the student's grade on the test. Select one: O a. 84% O b. 59% O c. 64% O d. 79% O e. 74% O f. 54% CheckAt the end of a day at the bowling alley, three friends analyzed their scores. Lily's mean bowling score is 158 with a standard deviation of 19. Aiden's mean bowling score is 143 with a standard deviation of 14. Josh's mean bowling score is 134 with a standard deviation of 25. Who is the most consistent bowler? Select one: O a. Josh O b. Lily O c. Not enough information to know. O d. Aiden Check\fAssuming a normal distribution, determine the precent of data to the left of the z-score: z = 1.16 Select one: O a. 87.7% O b. 85.54% O c. 86.43% O d. 89.62%In a normally distributed population of Zoidbergs, 50% of adults are taller than 215.0 cm and 5% are taller than 231.5 cm. The mean and standard deviation for this population are: Select one: O a. mean is 210 cm and standard deviation is 10 cm. O b. mean is 215 cm and standard deviation is 10 cm. O c. mean is 215 cm and standard deviation is 15 cm. O d. mean is 210 cm and standard deviation is 15 cm.Madi works at a factory making hand-finished artisnal wood flooring. The production process makes floorboards that have a mean thickness of 32 mm with a standard deviation of 1.7 mm. Madi sells floorboards with thickness between 29 mm and 32 mm at a higher price, as "premium" floorboards. What proportion of Madi's boards are "premium" floorboards? Select one: O a. 40% O b. 42% O c. 46% O d. 44%To maximize their long-term prots. a company has designed their dishwashers with low-quality parts to break in a fairly narrow interval. This is called "planned obsolescense' as it requires consumers to buy a new dishwasher when their old one breaks. Their dishwashers last an average of 10.9 years, with a standard deviation of 1.2 years. To minimize warranty claims, they want about 4.0% of their dishwashers to break before the warranty expires. To the nearest tenth. how long should the oompany set the warranty last for a new dishwasher. in years
