Susan is 18 and she wants to go away to college. She surveyed 7 of her friends who were also 18. 4 out of those 7 friends stated that they wanted to go away to college. Susan inferred that more than half of all 18 year old's want to go away to college. Is her inference Valid? Explain

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).