Answer:
This is a left-tailed test about a population's mean claim, with known population standard deviation.
c) Claim is alternative, fail to reject the null and cannot support calim as test statistic (-0.89) is not in the rejection region defined by the critical value (-2.05)
Step-by-step explanation:
The claim is alternative because it does not contain an equality. Since we are testing a claim about a population mean when the population standard deviation is known, the statistic in this case is z.
x is the sample mean, u is the population parameter, s is the population standard deviation and n is the number of items sampled.
z = -0.89
The rejection region is going to be the 0.02 (the alfa level) that is to the left of the probability distribution because this is a left-tailed test since the claim is that the population mean is less than 2.8 years. This region is going to be limited by the critical value -2.05.
In a z-core table we can see that for a z = -2.05 the area to the left of the distribution is 0.0202 ≈ 0.02 which is the significance level.
Answer:
Step-by-step explanation:
Find the y-intercept by setting x = 0: f(0) = 3(4)^0 = 3(1) = 3 => (0, 3)
4^x is never zero, and its graph is always above the y-axis, for both positive and negative x.
Any real number is an acceptable x-value.
Thus the domain is (- infinity, infinity) and the range is (0, infinity).
Answer: Vertical pair and x = 38
Step-by-step explanation:
Three sides, because if you make a clean cut the surface of the cut is a triangle.
4 laps because a mile is 1,760 yards and the 440 laps need to be divided into 1,760 so 1,760/440 is 4 so four laps are needed to complete a mile