As the SAT is used for college admissions, the GRE is used for graduate school admissions. A sample of vorbal and
quantitative scores from the GRE are both normally distributed, with the values of H and are given below
Verbal Quantitative
1170 550
121 148
Kevin scored 610 on the verbal section and 700 on the quantitative section. Use the standard deviation as a unit of
measurement to compare Kevin's verbal and quantitative scores on the GRE

Atextile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. the company wishes to test the hypothesis upper h subscript 0 baseline colon mu equals 12 against upper h subscript 1 baseline colon mu less-than 12 using a random sample of n equals 4 specimens. calculate the p-value if the observed statistic is x overbar equals 11.8. round your final answer to five decimal places (e.g. 98.76543).