Question
In: Statistics and Probability
The following information was obtained from independent random samples. The Degrees of Freedom have be calculated...
| The following information was obtained from independent random samples. The Degrees of Freedom have be calculated to be 19. The Standard Deviations are Unknown. | ||||||
| Small Sample Size: Use t-value | ||||||
| Sample 1 | Sample 2 | |||||
| Sample Mean | 45 | 42 | ||||
| Sample Variance | 85 | 90 | ||||
| Sample Standard Deviation | ||||||
| Sample Size | 10 | 12 | ||||
| Standard Error | ||||||
| Confidence Coefficient | 0.95 | |||||
| Level of Significance | ||||||
| Degrees of Freedom | 19 | |||||
| t-value | ||||||
| Margin of Error | ||||||
| Point Estimate of Difference | 3 | |||||
| Lower Limit | ||||||
| Upper Limit | ||||||
| The 95% confidence interval for the difference between the two population means is | ||||||
| to | ||||||
Solutions
Expert Solution
Degree of freedom, DF=
19
t-critical value = t α/2 =
2.093 (excel formula
=t.inv(α/2,df)
std error , SE = √(s1²/n1+s2²/n2) =
4.000
margin of error, E = t*SE = 2.093
* 4.000 = 8.3721
difference of means = x̅1-x̅2 = 45.0000
- 42.000 = 3.0000
confidence interval is
Interval Lower Limit = (x̅1-x̅2) - E =
3.0000 - 8.372 =
-5.3721
Interval Upper Limit = (x̅1-x̅2) + E =
3.0000 - 8.372 =
11.3721
CI (-5.3721 , 11.3721)
...................
THANKS
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orchestra answered 3 years agoRelated Solutions
The following information was obtained from independent random samples. The Degrees of Freedom have be calculated...
The following information was obtained from independent
random samples. The Degrees of Freedom have be calculated
to be 19. The Standard Deviations are
Unknown.
Small Sample Size: Use t-value
Sample 1
Sample 2
Sample
Mean
45
42
Sample
Variance
85
90
Sample
Standard Deviation
Sample
Size
10
12
Standard
Error
Confidence Coefficient
0.95
Level of
Significance
Degrees
of Freedom
19
t-value
Margin of
Error
Point
Estimate of Difference
3
Lower
Limit
Upper
Limit
The t-value for the sample is
The following information was obtained from two independent samples selected from two normally distributed populations with...
The following information was obtained from two independent
samples selected from two normally distributed populations with
unknown but equal standard deviations.
n1=33; x1¯=14.46;
s1=15.07.
n2=23; x2¯=−4.75;
s2=14.65.
Find a point estimate and a 97.5% confidence interval for
μ1−μ2.
For the following, round all answers to no fewer than 4 decimal
places.
The point estimate of μ1−μ2 is:
Answer
The lower limit of the confidence interval is:
Answer
The upper limit of the confidence interval is:
Answer
The margin of error...
The following information is obtained from two independent samples selected from two populations. n 1 =...
The following information is obtained from two independent
samples selected from two populations. n 1 = 250 x ¯ 1 = 5.72 σ 1 =
2.78 n 2 = 290 x ¯ 2 = 4.43 σ 2 = 1.21 Construct a 98 % confidence
interval for μ 1 - μ 2 . Round your answers to two decimal
places.
The difference between the two population means is :
The following three independent random samples are obtained from three normally distributed populations with equal variance....
The following three independent random samples are obtained from
three normally distributed populations with equal variance. The
dependent variable is starting hourly wage, and the groups are the
types of position (internship, co-op, work study).
Group 1: Internship
Group 2: Co-op
Group 3: Work Study
12.5
13
13.5
10.75
12
13.25
12.5
9.5
11.75
12
12.5
13.25
12.5
12.5
12.75
9.5
14
13.5
12.25
14.25
15
Use technology to conduct a one-factor ANOVA to determine if the
group means are...
The following three independent random samples are obtained from three normally distributed populations with equal variances....
The following three independent random samples are obtained from
three normally distributed populations with equal variances. The
dependent variable is starting hourly wage, and the groups are the
types of position (internship, co-op, work study). Round answers to
4 decimal places.
Internship
Co-op
Work Study
9.25
10.5
10.75
9.5
9.75
10
10.75
11
10.5
12
10.75
11.25
10.25
10.25
9.75
10.75
9.25
10.25
10
11.5
9
9.75
9.75
10
10.25
9.5
11.25
12.75
11
10.75
10
11.5
8.75
8.25
10...
The following five independent random samples are obtained from five normally distributed populations with equal variances....
The following five independent random samples are obtained from
five normally distributed populations with equal variances. The
dependent variable is the number of bank transactions in 1 month,
the groups are five different banks. Conduct a trend analysis at
the .05 level. Use SPSS to conduct a one-factor ANOVA to determine
if the group means are equal using alpha = .05. Test the
assumptions, plot the group means, consider an effect size,
interpret the results, and write an APA style...
The following three independent random samples are obtained from three normally distributed populations with equal variance....
The following three independent random samples are obtained from
three normally distributed populations with equal variance. The
dependent variable is starting hourly wage, and the groups are the
types of position (internship, co-op, work study). We are testing
the claim that the starting salaries for new college graduate are
different depending on the positions at α=0.2α=0.2 given the
following data
Group 1: Internship
Group 2: Co-op
Group 3: Work Study
10
11.25
16
14.75
13
14
10.5
13.5
14
9.5...
The following three independent random samples are obtained from three normally distributed populations with equal variances....
The following three independent random samples are obtained from
three normally distributed populations with equal variances. The
dependent variable is starting hourly wage, and the groups are the
types of position (internship, co-op, work study). Round answers to
4 decimal places.
Internship
Co-op
Work Study
11.25
11
10.5
12.5
11.75
14.75
10.75
14
10.5
11.5
9.5
9.5
12.5
13.5
11
11.75
10.75
13.25
11.75
14.25
10.5
14.25
10.75
12.5
12.5
12.75
12.25
11.5
11.25
9.5
12
12.25
11.75
10.5
12...
The following three independent random samples are obtained from three normally distributed populations with equal variance....
The following three independent random samples are obtained from
three normally distributed populations with equal variance. The
dependent variable is starting hourly wage, and the groups are the
types of position (internship, co-op, work study).
Group 1: Internship
Group 2: Co-op
Group 3: Work Study
9
9
13.75
9.25
12.75
11.75
12
11.5
11.25
11.75
14.75
16.25
12.25
8.75
10
11.75
10.5
11.5
10
9.75
12.75
11.25
10.75
15.5
Do not forget to convert this table from parallel format
(i.e.,...
The following three independent random samples are obtained from three normally distributed populations with equal variance....
The following three independent random samples are obtained from
three normally distributed populations with equal variance. The
dependent variable is starting hourly wage, and the groups are the
types of position (internship, co-op, work study).
Group 1: Internship
Group 2: Co-op
Group 3: Work Study
15
14.75
14.25
17.25
9.75
15.5
13
15.25
16.25
16.75
14
13.5
13
14.25
13.75
13
16
15.75
15.25
9.5
15.25
17.5
12
16.75
Do not forget to convert this table from parallel format
(i.e.,...
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