The mean number of sick days an employee takes per year is believed to be about 10. members of a personnel department do not believe this figure. they randomly survey 8 employees. the number of sick days they took for the past year are as follows: 12; 6; 14; 4; 9; 8; 6; 8. let x = the number of sick days they took for the past year. should the personnel team believe that the mean number is about 10? conduct a hypothesis test at the 5% level. note: if you are using a student's t-distribution for the problem, you may assume that the underlying population is normally distributed. (in general, you must first prove that assumption, though.)

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.