An automobile mileage study tested the following hypotheses. Hypothesis Conclusion H 0: 25 mpg Manufacturer's claim supported H a: < 25 mpg Manufacturer's claim rejected; average mileage per gallon less than stated
For σ= 3 and a .02 level of significance, what sample size would be recommended if the researcher wants an 80% chance of detecting that μ is less than 25 miles per gallon when it is actually 24?

Asays "we are both knaves" and b says nothing. exercises 24–31 relate to inhabitants of an island on which there are three kinds of people: knights who always tell the truth, knaves who always lie, and spies (called normals by smullyan [sm78]) who can either lie or tell the truth. you encounter three people, a, b, and c. you know one of these people is a knight, one is a knave, and one is a spy. each of the three people knows the type of person each of other two is. for each of these situations, if possible, determine whether there is a unique solution and determine who the knave, knight, and spy are. when there is no unique solution, list all possible solutions or state that there are no solutions. 24. a says "c is the knave," b says, "a is the knight," and c says "i am the spy."

Find the zero function by factoring (try to show work) h(x)=-x^2-6x-9

What is the prime factorization of 23 ?me with this question