Q1)  The given does not hold true for the t distribution?

i) Confidence interval will be wider than for large samples.

ii) Region of acceptance will be wider than for large samples.

iii) Larger computed t value will be requires to reject null hypothesis than for large samples using z.

iv) There is only one t distribution.

v) None of the above

Q2) Assume a one-tailed t-test is being applied to determine if population mean is less than $212.  Level of significance chosen is 0.01 and 26 accounts are sampled. Determine the critical value?

i) -2.580

ii) -2.485

iii) -1.960

iv) -2.479

v) None of the above

Q3) A poll of 400 people from Dobbs Ferry illustrated 250 favoured chocolate raspberry coffee whereas 170 out of 350 in Irvington favoured the same flavour.  To test hypothesis that there is no difference in preferences in 2 villages, determine the alternate hypothesis?

a) π₁ < π₂

b) π₁ > π₂

c) π₁ = π₂

d) π₁ not equal to π₂  

e) None of the above

Q4) If decision is to reject null hypothesis at 5% level of significance, determine the acceptable alternate hypothesis and rejection region?

a) π₁ ≠ π₂ ; z > 1.65 and z < -1.65

b) π₁ ≠ π₂; z > 1.96 and z < -1.96

c) π₁ > π₂; z < -1.65

d) π₁ > π₂; z < -1.96

e) None of the above