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Question: Using Table E.6, determine the lower-

Using Table E.6, determine the lower- and upper-tail critical values for the Wilcoxon rank sum test statistic, T1, in each of the following two-tail tests: a. α = 0.10, n1 = 6, n2 = 8 b. α = 0.05, n1 = 6, n2 = 8 c. α = 0.01, n1 = 6, n2 = 8 d. Given the results in (a) through (c), what do you conclude regarding the width of the region of nonrejection as the selected level of significance, α, gets smaller? Table E.6:
Using Table E.6, determine the lower- and upper-tail critical values for the Wilcoxon rank sum test statistic, T1, in each of the following two-tail tests:
a. α = 0.10, n1 = 6, n2 = 8
b. α = 0.05, n1 = 6, n2 = 8
c. α = 0.01, n1 = 6, n2 = 8
d. Given the results in (a) through (c), what do you conclude regarding the width of the region of nonrejection as the selected level of significance, α, gets smaller?

Table E.6:


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> Find the limit. Use l&acirc;&#128;&#153;Hospital&acirc;&#128;&#153;s Rule where appropriate. If there is a more elementary method, consider using it. If l&acirc;&#128;&#153;Hospital&acirc;&#128;&#153;s Rule doesn&acirc;&#128;&#153;t apply, explain why.

> Find the limit. Use l&acirc;&#128;&#153;Hospital&acirc;&#128;&#153;s Rule where appropriate. If there is a more elementary method, consider using it. If l&acirc;&#128;&#153;Hospital&acirc;&#128;&#153;s Rule doesn&acirc;&#128;&#153;t apply, explain why.

> Find the limit. Use l&acirc;&#128;&#153;Hospital&acirc;&#128;&#153;s Rule where appropriate. If there is a more elementary method, consider using it. If l&acirc;&#128;&#153;Hospital&acirc;&#128;&#153;s Rule doesn&acirc;&#128;&#153;t apply, explain why.

> Find the limit. Use l&acirc;&#128;&#153;Hospital&acirc;&#128;&#153;s Rule where appropriate. If there is a more elementary method, consider using it. If l&acirc;&#128;&#153;Hospital&acirc;&#128;&#153;s Rule doesn&acirc;&#128;&#153;t apply, explain why.

> Find the limit. Use l&acirc;&#128;&#153;Hospital&acirc;&#128;&#153;s Rule where appropriate. If there is a more elementary method, consider using it. If l&acirc;&#128;&#153;Hospital&acirc;&#128;&#153;s Rule doesn&acirc;&#128;&#153;t apply, explain why.

> Find the limit. Use l&acirc;&#128;&#153;Hospital&acirc;&#128;&#153;s Rule where appropriate. If there is a more elementary method, consider using it. If l&acirc;&#128;&#153;Hospital&acirc;&#128;&#153;s Rule doesn&acirc;&#128;&#153;t apply, explain why.

> Given that which of the following limits are indeterminate forms? For those that are not an indeterminate form, evaluate the limit where possible. lim f(x) = 0 lim g(x) = 0 lim h(x) = 1 %3D エ→ エ→ロ lim p(x) = 0 lim q(x) = 0 %3D (a) lim [f(x) – p(x)]

> Find the limit. Use l&acirc;&#128;&#153;Hospital&acirc;&#128;&#153;s Rule where appropriate. If there is a more elementary method, consider using it. If l&acirc;&#128;&#153;Hospital&acirc;&#128;&#153;s Rule doesn&acirc;&#128;&#153;t apply, explain why.

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> Find the limit. Use l&acirc;&#128;&#153;Hospital&acirc;&#128;&#153;s Rule where appropriate. If there is a more elementary method, consider using it. If l&acirc;&#128;&#153;Hospital&acirc;&#128;&#153;s Rule doesn&acirc;&#128;&#153;t apply, explain why.

> Find the limit. Use l&acirc;&#128;&#153;Hospital&acirc;&#128;&#153;s Rule where appropriate. If there is a more elementary method, consider using it. If l&acirc;&#128;&#153;Hospital&acirc;&#128;&#153;s Rule doesn&acirc;&#128;&#153;t apply, explain why.

> Find the limit. Use l&acirc;&#128;&#153;Hospital&acirc;&#128;&#153;s Rule where appropriate. If there is a more elementary method, consider using it. If l&acirc;&#128;&#153;Hospital&acirc;&#128;&#153;s Rule doesn&acirc;&#128;&#153;t apply, explain why.

> Find the limit. Use l&acirc;&#128;&#153;Hospital&acirc;&#128;&#153;s Rule where appropriate. If there is a more elementary method, consider using it. If l&acirc;&#128;&#153;Hospital&acirc;&#128;&#153;s Rule doesn&acirc;&#128;&#153;t apply, explain why.

> Find the limit. Use l&acirc;&#128;&#153;Hospital&acirc;&#128;&#153;s Rule where appropriate. If there is a more elementary method, consider using it. If l&acirc;&#128;&#153;Hospital&acirc;&#128;&#153;s Rule doesn&acirc;&#128;&#153;t apply, explain why.

> Find the limit. Use l&acirc;&#128;&#153;Hospital&acirc;&#128;&#153;s Rule where appropriate. If there is a more elementary method, consider using it. If l&acirc;&#128;&#153;Hospital&acirc;&#128;&#153;s Rule doesn&acirc;&#128;&#153;t apply, explain why.

> Find the limit. Use l&acirc;&#128;&#153;Hospital&acirc;&#128;&#153;s Rule where appropriate. If there is a more elementary method, consider using it. If l&acirc;&#128;&#153;Hospital&acirc;&#128;&#153;s Rule doesn&acirc;&#128;&#153;t apply, explain why.

> Find the limit. Use l&acirc;&#128;&#153;Hospital&acirc;&#128;&#153;s Rule where appropriate. If there is a more elementary method, consider using it. If l&acirc;&#128;&#153;Hospital&acirc;&#128;&#153;s Rule doesn&acirc;&#128;&#153;t apply, explain why.

> Given that which of the following limits are indeterminate forms? For those that are not an indeterminate form, evaluate the limit where possible. lim f(x) = 0 lim g(x) = 0 lim h(x) = 1 %3D エ→ エ→ロ lim p(x) = 0 lim q(x) = 0 %3D (b) lim [h(x)p(x)] (a

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> Let (a). Show that f is continuous at 0. (b). Investigate graphically whether f is differentiable at by zooming in several times toward the point (0, 1) on the graph of f. (c). Show that f is not differentiable at 0. How can you reconcile this fact wi

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2.99

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