Question

 

1) SAT Test Required Scores The scores for males on the math portion of the SAT I test are normally distributed with a mean of 531 and a standard deviation of 114(based on data from the college board). If the college of Florida includes a minimum score 600 among its requirement what percentage of males do not satisfy that requirement?

2)Finding Percentage of fever temperatures Based on the sample results in Data Set 6 in Appendix B, assume that human body temperatures are normally distributed with a mean of 98.20°F and a standard deviation of 0.62°F . Bellevue Hospital in New York City uses 100.6°F as the lowest temperature considered to be a fever. What percentage of normal and healthy persons would be considered to have a fever? Does this percentage suggest that a cutoff of 100.6°F is appropriate?

3) finding percentage of Pepsi cans under 12oz can of regular Pepsi are labaled as containing 12 oz. Assume that the actual contents are normally distributed with a mean of 12.29oz and a Standard deviation of 0.09oz(based on data set 1 in appendix b) what percentage of cans obtain less than the 12oz printed on the label? are many consumers being cheated?

Answer 1

1)

2)

Yes it seems be correct cutoff because the probability that a healthy person has temeprature greater than 100.6 is very low.

3)

Only 0.0006 * 100 = 0.06% persons cheated. It is very low so it does not seem that company is cheated.