Question

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

Answer #1

a)

Below are the null and alternative Hypothesis,

Null Hypothesis, H0: μ = 750

Alternative Hypothesis, Ha: μ ≠ 750

Rejection Region

This is two tailed test, for α = 0.05

Critical value of z are -1.96 and 1.96.

Hence reject H0 if z < -1.96 or z > 1.96

Test statistic,

z = (xbar - mu)/(sigma/sqrt(n))

z = (600 - 750)/(60/sqrt(50))

z = -17.68

P-value Approach

P-value = 0

As P-value < 0.05, reject the null hypothesis.

2)

Below are the null and alternative Hypothesis,

Null Hypothesis, H0: μ = 290

Alternative Hypothesis, Ha: μ > 290

Rejection Region

This is right tailed test, for α = 0.05 and df = 44

Critical value of t is 1.68.

Hence reject H0 if t > 1.68

Test statistic,

t = (xbar - mu)/(s/sqrt(n))

t = (390 - 290)/(25/sqrt(45))

t = 26.83

P-value Approach

P-value = 0

As P-value < 0.05, reject the null hypothesis.

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...

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...

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

Determine the critical value for a left-tailed test of a
population mean at the α = 0.025 level of significance based on a
sample size of n = 18.

1. Consider the following hypothesis test: Ho : μ = 15 H1 : μ ≠
15 A sample of 50 provided a sample mean of 15.15. The population
standard deviation is 3. a. Compute the value of the test
statistic. b. What is the p value? c. At α = 0.05, what is the
rejection rule using the critical value? What is your
conclusion?
2. Consider the following hypothesis test: Ho: μ ≤ 51 H1: μ >
51 A sample...

Read eText and review Resource Materials.
Then post your solution to this problem: Given Hypothesis:
Ho: population mean μo = 200
Ha: population mean μo < 200 This is Left-Tailed test.
Population Standard Deviation σ = 50.
Given Significance Level is 0.10 (10%).
Critical z-value for 0.10 significance level and Left-Tailed
test is (-1.28).
Rejection Region will be to the left of z= - 1.28.
-3…………..-2………….-1…………0……….1
Choose your sample mean, x̅ (any integer between 180 and 195)
and your sample...

Find the test statistic, P-value, critical value, and state
the final conclusion about the claim: The mean starting salary for
college graduates who have taken a statistics course is equal to
$46,000. Sample data: n = 65, = $45,678. Assume that s = $9900 and
the significance level is a =0.05

#5. Consider the following
hypothesis test for the mean of a normally distributed population:
Ho: μ=80. A random sample of size 40 is
to be taken. The population standard deviation is 20. Write the
rejection rule using critical value method; use α=4%.
Please clearly identify the test-statistic (t or z or F etc).(15
points)

Consider the following hypothesis test for the mean of a
normally distributed population: Ho:
μ=80. A random sample of size 40 is to be taken. The
population standard deviation is 20. Write the rejection rule using
critical value method; use α=4%. Please clearly identify
the test-statistic (t or z or F etc).

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