The lumen output was determined for each of I = 3 different brands of lightbulbs having the same wattage, with J = 9 bulbs of each brand tested. The sums of squares were computed as SSE = 4778.7 and SSTr = 599.8. State the hypotheses of interest (including word definitions of parameters). μi = sample average lumen output for brand i bulbs

P-value > 0.100

Step-by-step explanation:

Degree of freedom Group = df1 = I - 1 = 3 - 1 = 2

Degree of freedom Error = df2 = I * (J - 1) = 3 * (9 - 1) = 24

MSTR = SSTR / df1 = 594.8 / 2 = 297.4

MSE = SSE / df2 = 4777.8 / 24 = 199.075

F = MSTR / MSE = 297.4 / 199.075 = 1.49

Using R command,  

> 1 - pf(1.49, 2, 24)

[1] 0.2454887

P-value = 0.2455

check the attatchment for better understanding

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: