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Give reason whether the following statements are True or False.

(a) If the probability of non rejection of H0 when H1 is true is 0.4 then power of the test will be 0.6.

(b) If T1 and T2 are two estimators of the parameter θ such that Var(T1) = 1/n and Var(T2) = n then T1 is more efficient than T2.

(c) A 95% confidence interval is smaller than 99% confidence interval.

(d) If the level of significance is the same, the area of the rejection region in a two-tailed test is less than that in a one-tailed test.

(e) Non parametric tests are more powerful than the parametric tests.


Samples of three cards are drawn at random

from a population of eight cards numbered

from 1 to 8.


  1. Construct a histogram of the sampling

distribution of the means.


An aqueous solution of HCl is added to an aqueous solution of Ca(OH) 2 and a reaction occurs. 8.9x10 -

6 mol of (OH – ) ions are measured in the 750mL solution. Remember, Molarity = mol/L. Calculate the

concentration of the H + ions. Is the solution more acidic or basic?


An aqueous solution of H 2 S is added to an aqueous solution of NaOH and a reaction occurs. 3.7x10 -

4 mol of OH –1 ions are measured in the 550mL solution, calculate the number of moles of H 3 O +1 ions.

Remember, Molarity = mol/L. Calculate the concentration of the H + ions. Is the solution more acidic

or basic?


An aqueous solution of HF is added to an aqueous solution of K(OH) and a reaction occurs. The

concentration of H + ions is 2.68x10 -1 M. Calculate the concentration of the (OH) - ions. Is the solution

more acidic or basic?



An aqueous solution of H 2 (CO 3 ) is added to an aqueous solution of Li(OH) and a reaction occurs. The

concentration of (OH) - is 3.75x10 -5 M. Calculate the concentration of the H 3 O +1 ions. Is the solution

more acidic or basic?


An aqueous solution of HCl is added to an aqueous solution of Na(OH) and a reaction occurs. The

concentration of H + ions in the solution is 1.0x10 -5 M, calculate the concentration of the OH –1 ions. Is the

solution more acidic or basic?


The numbers of workers of a new fast food restaurant with seven outlets are 9 10 9 11 13 12 and 8 compute the population mean population variance and population standard deviation use the long method

f you have a circuit consisting of 4

4

 resistors of equal resistance in series and the total voltage across all of them is 17

17

 V

V

, what is the voltage across each of them?


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