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.)

answer: no

step-by-step explanation:

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for

d. $180

step-by-step explanation:

if the dimensions of the room is 9ft by 12 ft, we have the area of the floor as,

so the area of the floor is 108 square feet, converting that into square yards we get,

the cost of carpet is $15 per square yard, therefore the cost of carpet for 12 square yards is,

hence, the cost of carpet is $180.

assuming the dimensions of the room be,

15 ft by 12 ft

so, the area of the floor of that room is,

we can convert 180 square feet into square yards, we know that,

1 sq ft = 0.111 sq yard

so, 180 square feet is,

so the area of floor is 20 square yards.

now, the cost of carpet is 15 dollars per square yard, therefore the cost of carpet for 20 square yards is,

so, it will cost $300.

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step-by-step explanation:

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