Answer:
We have strong evidence that on average, students study less than 150 minutes per night during the school week
Step-by-step explanation:
Normal distribution:
mean μ₀ = 150
Sample:
Sample size n = 272
Sample mean x = 141
Sample standard deviation s = 66
The standard error of the sample mean SE = σ /√n
SE = 66/√272
SE = 66 / 16,49
SE = 4
Test Hypothesis:
Null hypothesis H₀ x = μ₀
Alternative hypothesis Hₐ x < μ₀
z(s) test statistics is:
z(s) = ( x - μ₀ ) / s/√n
z(s) = - 9 /4
z(s) = - 2,25
p-value for that z(s) p-value = 0,0122
Then for α = 0,05 p-value < 0,05
We are in the rejection region we need to reject H₀
I hope this helps you
3.9^2-42
3.81-42
243-42
201
Answer is 5(3a ⋅ 4) = (5 ⋅ 3a) ⋅ 4 (second one) ...this one is using <span>Associative Property of Multiplication</span>
Answer: option c or 3 because you gotta take out the 6 so u do -6 which left is negative and right is positive and then get rid of the +2 exponent so up is positive and down is negative so you move -2 which is down.
Step-by-step explanation: