A research engineer for a tire manufacturer is investigating tire life for a new rubber compound. She has built 10 tires and tested them to end of life in a road test. The sample mean and standard deviation are 61492 and 3035 kilometers, respectively.

a) The engineer would like to demonstrate that the mean life of this new tire is in excess of 60000km. Formulate and test appropriate hypotheses, being sure to state (test, if possible) assumptions and draw conclusions using P-value approach.

c) Find a 95% one sided lower confidence bound on mean tire life.

d) Use the bound found in part (c) to test the hypothesis

The coordinate grid shows points a through k. which points are solutions to the system of inequalities listed below? 2x+ ys 10 2x 4y < 8 oa c, d, k o e, f. g, j oa, c, d, h, k oe, f. g, h, j

Asailor is looking at a kite. if he is looking at the kite at an angle of elevation of 36and the distance from the boat to the point where the kite is directly overhead is 40 feet, how high is the kite?

Martha has a deck of cards. she has lost some of the cards, and now the deck only contains nine spades, eleven diamonds, eight clubs, and twelve hearts. martha predicts that whenever she draws a card from the deck without looking, she will draw a club one-fifth of the time. which activity would best allow martha to test her prediction? a. randomly draw a card from the box and see if it is a club. b. randomly draw a card. then, continue to draw another card until all eight clubs are drawn. c. randomly draw and replace a card 120 times. then, observe how close to 30 times a club is drawn. d. randomly draw and replace a card 100 times. then, observe how close to 20 times a club is drawn.