Pipes P and Q can fill a tank in 12 minutes and 16 minutes respectively. Both are kept open for X minutes, and then Q is closed. P fills the tank in 5 minutes. The value of X is?

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What are different types of statistical programs

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).