Number Puzzle 1. It is a four digit whole number. 2. It is the product of three consecutive numbers. 3. One of these three consecutive numbers is a prime number. 4. One of these three consecutive numbers is a square number. 5. It is divisible by 5. 6. Two of its digits are the same. 7. It is not divisble by 9. 8. Each of its digits is even. 9. It is divisible by 17. 10. Its tens digit is 8.

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).