Answer:
A) Null Hypothesis;H0: μ = 5
Alternative Hypothesis;Ha: μ ≠ 5
B) test statistic = -2.1226
C) p-value = 0.0598
D) Option A is correct
Step-by-step explanation:
We are given;
x = 4.52 minutes
s = 0.75 minutes
μ = 5 minutes
n = 11
degree of freedom = n - 1 = 11 - 1 = 10
A) The hypotheses are;
Null Hypothesis;H0: μ = 5
Alternative Hypothesis;Ha: μ ≠ 5
B) t-statistic = (x - μ)/(s/√n)
(4.52 - 5)/(0.75/√11) = -2.1226
C) From the t-score calculator results attached, the p-value is approximately 0.0598.
D) The P-value of 0.0598 is is greater than the significance level of 0.01, thus we fail to reject the null hypothesis, and we say that the result is statistically nonsignificant. So option A is correct.
Y = -4x+2
x = -1
-4(-1) + 2 = /// 6 = y
x = 0
-4(-1) + 2 = /// 2 = y
x=1
-4(1) + 2 = /// -2 = y
x=2
-4(2) + 2 /// -6 = y
Subtract 8 from both sides
So you end up with x = -23
(-3).
We plug (-1) for x in g(x) and we get:
(-1) - 2(-1)^2.
To simplify, (-1)^2 turns to just 1. since a negative times a negative gives a positive.
Then, we have (-1) - 2(1) or (-1) - 2 or -1 - 2.
This is then -3