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In: Statistics and Probability

1. ANSWER THE FOLLOWING IN FULL STEPS A) Individuals in first-year science wrote a 100 point...

1. ANSWER THE FOLLOWING IN FULL STEPS

A) Individuals in first-year science wrote a 100 point final where the grades were normally distributed. The mean was 60 and the standard deviation was 12. Students in first-year calculus also wrote a 100 point final where the grades were normally distributed. The mean was 68 and the standard deviation was 8. Brianna has a mark of 81 in science and a mark of 83 in calculus. The science professor has decided to bell curve the science class so that it has a mean of 65 and a standard deviation of 10. What would Brianna have in calculus now? Explain.

B) According to the label on a drink bottle, the bottle should contain 500 mL of product. Currently, the filling machine is set to a mean volume of 502 mL and a standard deviation of 1.5 mL. If too many cans are under-filled, they risk losing customers, but if the can surpasses 505 mL of fill, there will be spillover when the bottle is capped, wasting product. Does the company need to recalibrate the machine? Explain.

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orchestra answered 2 years ago
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