Assume that SAT mathematics scores of students who attend small liberal arts college are N(μ,σ2= 8100). We shall test H_0:μ= 530 against H_A: μ >530. Let the critical region be defined by C={ X: X ≥ 554.675}, where X is the sample mean of a random sample of size n = 36 from this distribution.
(a) What is the value of the significance level of this test?
(b) Calculate 1−β when μ= 560.
Assume that SAT mathematics scores of students who attend small liberal arts college are N(μ,σ2= 8100)....
Ignore handwriting (15 pts) Assume that SAT matkematcs scores of studeuts who attend s college are N(μ, σ2-8100). We shall test Ho : μ-530 against HA : μ > 530 Let the critical region be defined by C (x X 2 554.675}, where X is the sample meatu of a random sample of size n = 36 from this distribution. l arts (a) What is the value of the significance level of this test? a o S503 s 6 (b)...
Math SAT Scores (Raw Data, Software Required): Suppose the national mean SAT score in mathematics is 510. The scores from a random sample of 40 graduates from Stevens High are given in the table below. Use this data to test the claim that the mean SAT score for all Stevens High graduates is the same as the national average. Test this claim at the 0.05 significance level. (a) What type of test is this? This is a left-tailed test. This...
3. (4 points) Let X equal the number of pounds of butterfat produced by a Holstein cow during the 305-day milking period following the birth of a calf. Assume that the distribution of X is N(μ, σ2-1402). To test the null hypothesis Ho : μ-175 against the alternative hypothesis Ha : u 715, let the crtical region be defined by 668.94, where x is the sample mean of n 25 butterfat weights from 25 cows selected at random (a). What...