Determine the critical value(s) for a right-tailed hypothesis test for a mean with the given characteristics. Round any z-value solution to two decimal places. Round any t-value solution to four decimal places. The significance level of the test is 0.5% • The sample size is 44 • The population standard deviation (ơ) is known to be 3.8 Should the t or z distribution be used for the above scenario? O The Student's t distribution should be used O The standard normal (z) distribution should be used The critical value(s) for the test are given by ? v

Q.2. Prove that the equation (-- -)- 4 has a solution.

9. Find these values. a) [1 c) [-²] e) [3] g(+1 b) [2] d) [-] f) [-1] b) [1]

8) Use Theorem 7.2.1 (Table) to find the following: 3 b. s³ +9s

Find rahge hod of y= CX-4) + 5

1-z 2-1 6) Show that = = 1

Q13)

.. R. H. side is 3 2 ار z=1 y=1 ربائية 17 -2(x + 1)y dy dz

-13 2.0 Let A = and let B = Find AB + 2B. 2 4 1.3 O A. 2 9 -1 4 18 -2 OB. 5 -3 3 10 12 2 c. 9 -1 10 18 - 2 O D. 9 -1 10 12 2. O E. Does not exist

Which of the foiowing statements is true of chi-square distributions? O As the number of degrees of freedom increases, their density curves look less and less lke a Normal curve O As the number of degrees of freedom increases, their density curves look more and more like a uniform distribution. All of the above are trk O They take on only positive values O Their density curves are skewed to the left