Question

Use the appropriate table to find each of the following. Draw and label a sketch of the distribution.

- What is the critical value for a right-tailed Z test with α = 0.08?

- What are the critical values for a two-tailed Z test with α = 0.04?

- What is the critical value for a left-tailed T test with α = 0.10 and n = 18?

Answer #1

a) The critical value for a right -tailed Z test with =0.08 is ,

; From Z-table

b)

The critical value for a two -tailed Z test with =0.04 is ,

; From Z-table

c)

The critical value for a left -tailed T test with =0.10 and degrees of freedom=df=n-1=18-1=17 is ,

; From t-table

Use the appropriate table to find each of the following. Draw
and label a sketch of the distribution.
What are the critical values for a two-tailed T test with α =
0.02 and n = 27?
9. What is the critical value for a left-tailed χ2
test with α = 0.05 and n = 13?
10. What are the critical values for a two-tailed χ2
test with α = 0.01 and n = 24?

The Student's t distribution table gives critical
values for the Student's t distribution. Use an
appropriate d.f. as the row header. For a
right-tailed test, the column header is the value of
α found in the one-tail area row. For a
left-tailed test, the column header is the value of
α found in the one-tail area row, but you must
change the sign of the critical value t to −t.
For a two-tailed test, the column header is the value...

The Student's t distribution table gives critical
values for the Student's t distribution. Use an
appropriate d.f. as the row header. For a
right-tailed test, the column header is the value of
α found in the one-tail arearow. For a
left-tailed test, the column header is the value of
α found in the one-tail area row, but you must
change the sign of the critical value t to −t.
For a two-tailed test, the column header is the value of...

Use Excel to find the critical value of z for each hypothesis
test. (Negative values should be indicated by a minus sign. Round
your answers to 3 decimal places.) (a) 2 percent level of
significance, two-tailed test. Critical value of z ± (b) 1 percent
level of significance, right-tailed test. Critical value of z (c) 5
percent level of significance, left-tailed test. Critical value of
z

A medical researcher is interested in whether patients' left
arms or right arms are longer. If 13 patients participate in this
study (so that n left arms and n left arms are measured), how many
degrees of freedom should the researcher use in her t-test critical
value?
a)24
b)12
c)13
d)25
Using the z-table (Table E), find the critical value (or values)
for a α = .14 right-tailed test.-
a)0.5402
b)0.7879
c)1.5758
d)1.0803

11) α = 0.05 for a two-tailed test.
A) ±1.764 B) ±2.575 C) ±1.96 D) ±1.645
12) α = 0.09 for a right-tailed test.
A) ±1.96 B) 1.96 C) 1.34 D) ±1.34
13) α = 0.05 for a left-tailed test.
A) -1.96 B) ±1.96 C) ±1.645 D) -1.645
16) Find the critical value for a right-tailed test with α = 0.01
and n = 75.
A) 2.33 B) 1.645 C) 2.575 D) 1.96
17) Find the critical value for a...

The Student's t distribution table gives critical
values for the Student's t distribution. Use an
appropriate d.f. as the row header. For a
right-tailed test, the column header is the value of
α found in the one-tail area row. For a
left-tailed test, the column header is the value of
α found in the one-tail area row, but you must
change the sign of the critical value t to −t.
For a two-tailed test, the column header is the value...

The Student's t distribution table gives critical
values for the Student's t distribution. Use an
appropriate d.f. as the row header. For a
right-tailed test, the column header is the value of
α found in the one-tail area row. For a
left-tailed test, the column header is the value of
α found in the one-tail area row, but you must
change the sign of the critical value t to −t.
For a two-tailed test, the column header is the value...

1) Find the critical values t for a left-tailed test -t with
alpha=0.99 and n=17
2) Find the critical values t for a right-tailed test with
alpha=0.01 and n=21
3) Find the critical values t and -t for a two-tailed test with
alpha=0.05 and n=26

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