Question

Consider the following hypothesis test. H0: 1 - 2 ≤ 0 Ha: 1 - 2 > 0 The following results are for two independent samples taken from the two populations. Sample 1 Sample 2 n1 = 40 n2 = 50 x1 = 25.2 x2 = 22.8 σ1 = 5.2 σ2 = 6.0 a. What is the value of the test statistic (round to 2 decimals)? b. What is the p-value (round to 4 decimals)? Use z-table. c. With = .05, what is your hypothesis testing conclusion?

Answer #1

we have to test that

we have for sample 1

sample size =n1=40 sample mean =m1=25.2 SD1=5.2

for sample 2

sample size =n2=50 sample mean =m2=22.8 SD2=6

a) test statistics is given by

b)

since test is right tailed so

P-Value =P(Z>2.03) =0.0212

c)

since P Value is less than level of significance hence we reject the null hypothesis that is there is enough evidence to conclude that population mean difference is more than ZERO

Consider the following hypothesis test.
H0: μ1 − μ2 = 0
Ha: μ1 − μ2 ≠ 0
The following results are from independent samples taken from
two populations.
Sample 1
Sample 2
n1 = 35
n2 = 40
x1 = 13.6
x2 = 10.1
s1 = 5.9
s2 = 8.5
(a)
What is the value of the test statistic? (Use
x1 − x2.
Round your answer to three decimal places.)
(b)
What is the degrees of freedom for the t...

Consider the following hypothesis test.
H0: 1
- 2≤ 0
Ha: 1
- 2> 0
The following results are for two independent samples taken from
the two populations.
Sample 1
Sample 2
n 1 = 30
n 2 = 70
x 1 = 25.6
x 2 = 22.2
σ 1 = 5.3
σ 2 = 7
a. What is the value of the test statistic
(round to 2 decimals)?
b. What is the p-value (round to 4
decimals)? Use z-table. Use z-value rounded to...

Question 1
Consider the following hypothesis test.
H0: 1
- 2= 0
Ha: 1
- 2≠ 0
The following results are from independent samples taken from
two populations.
Sample 1
Sample 2
n 1 = 35
n 2 = 40
x 1 = 13.6
x 2 = 10.1
s 1 = 5.5
s 2 = 8.2
a. What is the value of the test statistic (to
2 decimals)?
b. What is the degrees of freedom for the
t distribution? (Round down your answer to...

Consider the following hypothesis test.
H0: μ1 − μ2 = 0
Ha: μ1 − μ2 ≠ 0
The following results are from independent samples taken from
two populations assuming the variances are unequal.
Sample 1
Sample 2
n1 = 35
n2 = 40
x1 = 13.6
x2 = 10.1
s1 = 5.7
s2 = 8.2
(a) What is the value of the test statistic? (Use x1
− x2. Round your answer to three decimal
places.)
(b) What is the degrees of...

Given the information below that includes the sample size (n1
and n2) for each sample, the mean for each sample (x1 and x2) and
the estimated population standard deviations for each case( σ1 and
σ2), enter the p-value to test the following hypothesis at the 1%
significance level :
Ho : µ1 = µ2
Ha : µ1 > µ2
Sample 1
Sample 2
n1 = 10
n2 = 15
x1 = 115
x2 = 113
σ1 = 4.9
σ2 =...

Consider the
hypothesis test below. ho: p1-p2 <=0
ha: p1-p2>0
The following results
are for independent samples taken from the two populations.
Sample 1
Sample 2
n1 200
n2 300
p-bar 0.24
p-bar 0.17
Use pooled estimator of.
a. What is the value of the test statistic (to 2
decimals)?
b. What is the -value (to 4 decimals)?
c. With , what is your hypothesis testing
conclusion?
- Select your answer -Conclude the difference between the
proportions is greater than...

Given the information below, enter the p-value to test the
following hypothesis at the 1% significance level :
Ho : µ1 = µ2
Ha : µ1 > µ2
Sample 1
Sample 2
n1 = 14
n2=12
x1 = 113
x2=112
s1 = 2.6
s2=2.4
What is the p-value for this test ? ( USE FOUR DECIMALS)

Consider the following hypothesis test.
H0:
μd ≤ 0
Ha:
μd > 0
A. The following data are from matched samples taken from two
populations. Compute the difference value for each element. (Use
Population 1 − Population 2.)
Element
Population
Difference
1
2
1
21
18
2
28
27
3
18
15
4
20
19
5
26
24
B. Compute
d.
C. Compute the standard deviation
sd.
D. Conduct a hypothesis test using
α = 0.05.
Calculate the test statistic....

Consider the following hypothesis test.
H0:
μd ≤ 0
Ha:
μd > 0
(a)
The following data are from matched samples taken from two
populations. Compute the difference value for each element. (Use
Population 1 − Population 2.)
Element
Population
Difference
1
2
1
21
21
2
28
27
3
18
16
4
20
18
5
26
26
(b) Compute d. ( )
(c) Compute the standard deviation
sd. ( )
(d) Conduct a hypothesis test using α = 0.05....

{Exercise 10.01 Algorithmic}
Consider the following results for two independent random
samples taken from two populations.
Sample 1
Sample 2
n1 = 50
n2 = 30
x1 = 13.1
x2 = 11.2
σ1 = 2.1
σ2 = 3.2
What is the point estimate of the difference between the two
population means?
Provide a 90% confidence interval for the difference between the
two population means (to 2 decimals).
Provide a 95% confidence interval for the difference between the
two population means...

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