Suppose a researcher decided to test a hypothesis that adding compost to tomato plants increases mean tomato mass. She knew the standard deviation of the mass of all tomato plants, so she chose a one-sample z‑test using a simple random sample of 50 plants that received compost. She used a significance level of α=0.05. The power of her test to detect a difference in mean tomato mass of 25 g or more was 0.98. What is the probability, β, that the researcher will make a type II error and fail to conclude that adding compost increases mean tomato mass when, in fact, adding compost increases mean tomato mass by 25 g or more? Give your answer as a decimal, precise to two decimal places. β=

it's

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.

this is the formula: v = the value of investment at the end of the time period

p = the principal amount (the initial amount invested)

r = the annual interest rate

n = the annual frequency of compounding (how many times a year interest is added)

t = the number of years the money is invested

^ means raise to the power of