You wish to test the following claim ( h 1 ) at a significance level of α = 0.025 . h o : μ = 50.6 h 1 : μ > 50.6 you believe the population is normally distributed, but you do not know the standard deviation. you obtain a sample of size n = 10 with a mean of ¯ x = 54.6 and a standard deviation of s = 10.5 . what is the critical value for this test

(05.08a)triangle abc is transformed to similar triangle a′b′c′ below: a coordinate plane is shown. triangle abc has vertices a at 2 comma 6, b at 2 comma 4, and c at 4 comma 4. triangle a prime b prime c prime has vertices a prime at 1 comma 3, b prime at 1 comma 2, and c prime at 2 comma 2. what is the scale factor of dilation? 1 over 2 1 over 3 1 over 4 1 over 5

What numbers are included in the set of integers? what numbers are not included?

(b) suppose that consolidated power decides to use a level of significance of α = .05, and suppose a random sample of 100 temperature readings is obtained. if the sample mean of the 100 temperature readings is x⎯⎯ = 60.990, test h0 versus ha and determine whether the power plant should be shut down and the cooling system repaired. perform the hypothesis test by using a critical value and a p-value. assume σ = 5. (round your z to 2 decimal places and p-value to 4 decimal places.)