Arandom sample of soil specimens was taken from a large geographic area. they can be assumed to be independent. the amount of organic matter, as a percent, was determined for each specimen. the data is below: 0.14, 0.32, 1.17, 1.45, 3.5, 5.02, 5.09, 5.22 it is desired to know whether the population mean percent organic matter is different than 4%. a significance level of a = 0.05 was deemed appropriate. use b = 8000 resamplings. compute the p-value, and make a reject or not reject conclusion. then state the conclusion in the context of the problem. in other words, does it seem the mean organic matter level is different than 4%?

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.