Question

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 two-tailed test with α = 0.01 and
n = 30.

A) ±1.645 B) ±2.575 C) ±1.96 D) ±2.33

18) Find the critical value for a left-tailed test with α = 0.05
and n = 48.

A) -1.96 B) -2.575 C) -1.645 D) -2.33

19) Find the critical value for a two-tailed test with α = 0.10 and
n = 100.

A) ±2.33 B) ±1.96 C) ±2.575 D) ±1.645

14) α = 0.1 for a two-tailed test.

A) ±1.645 B) ±1.4805 C) ±2.052 D) ±2.33

15) α = 0.08; H1 is μ ≠ 3.24

A) 1.75 B) ±1.75 C) 1.41 D) ±1.41

Please show work for 11 and 16. a letter for the answer for the rest is fine as I can check my work.

Answer #1

Answer)

We need to use standard normal z table to estimate the critical values

11)

Answer)

Test is two tailed.

So, first we need to divide the given significance level alpha in to two equal parts.

0.05/2 = 0.025

From z table, P(z<-1.96) = P(z>1.96) = 0.025

So, critical values are -1.96 and 1.96

12)

We have a right tailed test with 0.09 alpha.

From z table, P(z>1.34) = 0.09

So, critical value is 1.34.

13)

Left tailed test with 0.05 alpha.

From z table, P(z<-1.645) = 0.05.

16)

Here we need to use t table to estimate the critical value.

As n is given.

Degrees of freedom is = n-1 = 14

For 14 dof and 0.01 alpha, critical value t from t distribution table is 2.33

Find the critical values for a a. right tailed F test when α
=0.05 and n1=10 and n2=12. b. left tailed F test when α =0.05 and
ν1=11 and ν2=16. c. two tailed F test when α =0.05 and ν1=21 and
ν2=16.

Complete parts (a) through (c) below.
(a) Determine the critical value(s) for a right-tailed test
of a population mean at the α=0.01 level of significance with 20
degrees of freedom.
(b) Determine the critical value(s) for a left-tailed test of
a population mean at the α=0.05 level of significance based on a
sample size of n =15
(c) Determine the critical value(s) for a two-tailed test of
a population mean at the α =0.01 level of significance based on a...

Complete parts (a) through (c) below.
(a) Determine the critical value(s) for a right-tailed test
of a population mean at the alphaα=.10 with 15 degrees of freedom.
tcrit=
b) Determine the critical value(s) for a left-tailed test of a
population mean at the α=0.05 level of significance based on a
sample size of n=20
c) Determine the critical value(s) for a two-tailed test of a
population mean at the α=.01 level of significance based on a
sample size of n=18

1) You are performing a two-tailed test with a sample size of
61.
If α=.002α=.002, find the positive critical value, to three decimal
places.
tα/2=
2) You are performing a left-tailed test with a sample size of
22.
If α=.001α=.001, find the critical value, to three decimal
places.
tα=
3) You are performing a right-tailed test with a sample size of
99.
If α=.05α=.05, find the critical value, to three decimal
places.
tα=

Which of the following is a possible alternative hypothesis ?1
for a two-tailed test?
(a) ? < 30
(b) µ ≠ 30
(c) µ = 30
(d) µ > 30
The ?∝ 2 score corresponding to 98% confidence level is:
(a) 2.05
(b) 2.33
(c) 1.96
(d) 1.645

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

Find
the critical value. Assume that the test is two-tailed and that n
denotes the number of pairs of data.
n =16,
α = 0.01
answer
choices:
0.635
±0.635
-0.635
±0.503

a.Two-tailed test, α=0.07
The critical value(s) is/are z= ______
(Round to two decimal places as needed. Use a comma to separate
answers as needed.)
b. Right-tailed test, α=0.10, n=6
The critical value(s) is/are _____
(Round to the nearest thousandth as needed. Use a comma to
separate answers as needed.)
c. TwoTwo-tailed test, α=0.10, n=28
The critical value(s) is/are ______
(Round to the nearest thousandth as needed. Use a comma to
separate answers asneeded.)

STA2023
MULTIPLE CHOICE. Choose the one alternative that best completes
the statement or answers the question.
Provide an appropriate response.
1) The P-value for a hypothesis test is P = 0.029. Do you reject or
fail to reject H0 when the level of significance is ΅
= 0.01?
A) reject H0
B) not sufficient information to decide
C) fail to reject H0
2) The P-value for a hypothesis test is P = 0.085. Do you reject or
fail to reject...

6. For a two-tailed test with a 0.05
significance level, where is the rejection region when n
is large and the population standard deviation is known? Assume df
= 5000
A. Between ±1.960
B. Between ±1.645
C. Greater than +1.960 and less than -1.960
D. Greater than +1.645 and less than -1.645

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