Question

12.

Calculate the critical z-value(s) for each of the given hypothesis test scenarios below. If mulitple critical values exist for a single scenario, enter the solutions using a comma-separated list. Round z-values to two decimal places.

- Find the critical z-value(s) for a left-tailed test of hypothesis for a mean, assuming the population standard deviation is known, with a sample size of 98 and let α=0.005.
- z=
- Find the critical z-value(s) for a right-tailed test of hypothesis for a mean, assuming the population standard deviation is known, with a sample size of 53 and let α=0.025.
- z=
- Find the critical z-value(s) for a two-tailed test of hypothesis for a mean, assuming the population standard deviation is known, with a sample size of 105 and let α=0.05.
- z=
- Find the critical z-value(s) for a two-tailed test of hypothesis for a mean, assuming the population standard deviation is known, with a sample size of 51 and a signifance level of 20%.
- z=

Answer #1

Solution,

1) n = 98

This is left-tailed test,

P(z < z ) = 0.005

= P(z < -2.58 ) = 0.005

z = -2.58

2) n = 53

This is right-tailed test,

P(z > z ) = 0.025

= 1 - P(z < z ) = 0.025

= P(z < z ) = 1 - 0.025

= P(z < z ) = 0.975

= P(z < 1.96 ) = 0.975

z = 1.96

3) n = 105

This is two-tailed test,

= 0.05

/2
= 0.025

Z/2
= Z0.025 = 1.96

z = -1.96, 1.96

4) n = 51

This is two-tailed test,

= 0.20

/2
= 0.10

Z/2
= Z0.10 = 1.28

z = -1.28, 1.28

14.
Calculate the critical t-value(s) for each of the given
hypothesis test scenarios below. If mulitple critical values exist
for a single scenario, enter the solutions using a comma-separated
list. Round t-values to four decimal places.
Find the critical t-value(s) for a left-tailed test of
hypothesis for a mean, assuming the population standard deviation
is unknown, with a sample size of 25 and let α=0.005.
t=
Find the critical t-value(s) for a right-tailed test of
hypothesis for a mean, assuming...

15. Calculate the pp-value for each of the given hypothesis test
scenarios below. Round pp-values to four decimal places.
Find the p-value for a left-tailed test of hypothesis
for a mean when the test statistic has been calculated as -2.08.
Assume the population standard deviation is known.
p-value=
Find the p-value for a right-tailed test of hypothesis
for a mean when the test statistic has been calculated as 1.26.
Assume the population standard deviation is known.
p-value=
Find the p-value...

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

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.)

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

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) 9 percent level of
significance, two-tailed test. Critical value of z ± __________ (b)
7 percent level of significance, right-tailed test. Critical value
of z _______ (c) 4 percent level of significance, left-tailed test.
Critical value of z___________.

Calculate the critical value, test Ho: and state the final
decisions for each of the following cases.
4 (a)
Level of significance = 5% 2-tailed test
Sample size = 50
Population mean = 750
Population standard deviation = 60 Sample mean = 600
4 (b)
Level of significance = 5%
1-tailed test
Sample standard deviation = 25
Sample size = 45 Population mean = 290 Sample mean = 390

1. Find the critical z-value(s) for a right-tailed test with α =
0.02Assume a normal population.
2. Find the critical t-value(s) for a two-tailed test with n =
12, α = 0.05. Assume a normal distribution.
3. Express the claim in symbolic form: At least half the
students at this school carpool to campus.
4. Express the claim in symbolic form:The average number of sick
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4.
5. Express the claim...

A random sample of 115 observations produced a sample mean of
32. Find the critical and observed values of z for the
following test of hypothesis using α=0.025. The population standard
deviation is known to be 6 and the population distribution is
normal.
H0: μ=28 versus H1: μ>28.
Round your answers to two decimal places.

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