You will take 44+(40/100 * 44) = 44 + 17.6 = $61.60 ($61.60 is going to be the retail price of the lamp).
4.8 pounds, set it up as 4 over 10 times x over 12, to find x multiply 4 by 12, and divide by ten. The result is 4.8
Use the formula of arc length that is
s = rθ
where s = arc length, r = radius, θ = angle (unit must be in radian)
Given r = 5 in and θ = 48°( π /180°) = (4/15)* π = 0.2667 π,
s = 5 in (0.2667π) = 1.333 π in
Answer:
a.) one sample t test
b.) H0 : μ = 59.3
c.) H1 : μ > 59.3
d.) μ = 59.3 ; σ = 39.84
e.) xbar = 79.4 ; s = 61.36
Test statistic = 3.16
Step-by-step explanation:
Given the sample data:
49.00 49.00 49.00 49.00 49.00 63.00 63.00 63.00 63.00 63.00 199.00 199.00 199.00 199.00 199.00 38.00 38.00 38.00 38.00 38.00 48.00 48.00 48.00 48.00 48.00 49.00 63.00 199.00 38.00 48.00
Sample size, n = 30
Using calculator :
xbar from the data above = 79.4
Standard deviation = 61.359
H0 : μ = 59.3
H1 : μ > 59.3
Test statistic :
(Xbar - μ) ÷ (σ/sqrt(n)
σ = 34.83
(79.4 - 59.3) ÷ (34.83/sqrt(30))
20.1 ÷ 6.359
Test statistic = 3.16
