Question
In: Statistics and Probability
Sample 1: {2,4,3,6,7,9,8} Sample 2: {
Sample 1: {2,4,3,6,7,9,8}
Sample 2: {3,7,4,5,9}
- Find the mean, median, variance, standard deviation, skewness, minimum, maximum, range, and 95% confidence interval of the population mean for each of the samples.
- Construct the 95% confidence interval of the difference of the two population means from which these two samples were drawn.
- Test the hypothesis that the population from which the Sample 1 was drawn has a mean that is no more than 7.
- Test the hypothesis that the population from which the Sample 2 was drawn has a mean that is no more than 5.
- Test the hypothesis that the population from which the Sample 1 was drawn has a variance that is no more than 10.
- Test the hypothesis that the population from which the Sample 1 was drawn has a variance that is at least 8.
- Test the hypothesis that the population from which the Sample 2 was drawn has a variance that is no more than 6.
- Test the hypothesis that the population from which the Sample 2 was drawn has a variance that is at least 7.
- Test the hypothesis that the population from which the Sample 1 was drawn has a mean that is at least 5.
- Test the hypothesis that the population from which the Sample 2 was drawn has a mean that is at least 6.
- Test the hypothesis that the variances of the two populations from which these two samples were drawn are equal to each other.
- Test the hypothesis that the population from which the Sample 1 was drawn has a mean that is 2 units more than the population from which the Sample 2 was drawn.
- Looking at your answers to questions above, what can you say about the (potentially) two populations from which these two samples were drawn? What do you think about the likelihood that these two samples were in fact drawn from the same population? Provide detailed justification for your answer.
Solutions
Expert Solution
Note : allowed to solve one question per post.
Question 1 has been solved in detail
Sample 1
95% confidence interval using tstat
Sample 2
95% confidence interval using tstat
orchestra answered 1 year agoRelated Solutions
Sample 1: {2,4,3,6,7,9,8} Sample 2: {
Sample 1:
{2,4,3,6,7,9,8}
Sample 2:
{3,7,4,5,9}
Test the hypothesis that the population from which the Sample 1
was drawn has a mean that is no more than 7.
Test the hypothesis that the population from which the Sample 2
was drawn has a mean that is no more than 5.
Test the hypothesis that the population from which the Sample 1
was drawn has a variance that is no more than 10.
Test the hypothesis that the population...
Hour Sample 1 Sample 2 Sample 3 Sample 4 Sample 5 Sample 6 Sample 7 Sample...
Hour
Sample 1
Sample 2
Sample 3
Sample 4
Sample 5
Sample 6
Sample 7
Sample 8
1
98.2706
98.82376
101.8175
100.1819
102.9594
101.165
95.25957
98.97423
2
100.7166
101.8866
98.56813
98.77126
101.8273
98.20298
101.6975
99.63706
3
98.9922
101.9845
103.7859
97.94211
100.9618
102.5191
97.33631
101.6476
4
103.2479
97.55057
105.5942
99.39358
99.57922
95.39694
96.26237
102.5666
5
100.403
99.99954
100.1254
100.21
93.46717
103.2011
100.1247
101.0385
6
97.26687
101.0598
96.30829
100.2402
98.07447
97.92167
102.4083
104.0686
7
101.2243
98.17466
99.66765
101.106
100.2891
99.37136
99.33442
95.24574...
Hour Sample 1 Sample 2 Sample 3 Sample 4 Sample 5 Sample 6 Sample 7 Sample...
Hour
Sample 1
Sample 2
Sample 3
Sample 4
Sample 5
Sample 6
Sample 7
Sample 8
1
98.2706
98.82376
101.8175
100.1819
102.9594
101.165
95.25957
98.97423
2
100.7166
101.8866
98.56813
98.77126
101.8273
98.20298
101.6975
99.63706
3
98.9922
101.9845
103.7859
97.94211
100.9618
102.5191
97.33631
101.6476
4
103.2479
97.55057
105.5942
99.39358
99.57922
95.39694
96.26237
102.5666
5
100.403
99.99954
100.1254
100.21
93.46717
103.2011
100.1247
101.0385
6
97.26687
101.0598
96.30829
100.2402
98.07447
97.92167
102.4083
104.0686
7
101.2243
98.17466
99.66765
101.106
100.2891
99.37136
99.33442
95.24574...
Sample 1 Drink Sample 2 Sample 3 Sample 4 Sample 5 Sample 6 Time of day...
Sample 1
Drink
Sample 2
Sample 3
Sample 4
Sample 5
Sample 6
Time of day
2.10pm
2.40pm
3.10pm
3.40pm
4.10pm
4.40pm
Time interval (min)
76
30
30
30
30
30
Urination duration (s)
5
5
6
7
6
5
Urine volume (ml)
72
35
95
156
135
76
Urine flow rate (ml/sec)
14.4
7.0
15.8
22.3
22.5
15.2
Urine Production rate (ml/min)
Na+ conc’n (mmol/litre)
120
43
12
11
16
17
Na+ excretion rate (mmol/min)
Urine osmolality (mOsm/kg H2O)...
If I have 2 samples of limestone, sample 1 weighing 0.732g and sample 2 weighing 0.825g....
If I have 2 samples of limestone, sample 1 weighing 0.732g and
sample 2 weighing 0.825g. Both were dissolve do in15ml of 3.00M of
HCL. 1.5g of (NH4)2SO4 was added to each sample. Then 20ml of 2.00M
NH3OH was added to each sample. How do I calculate the moles of
CaCO3 in limestone AND the mass of CaCO3 in limestone ?
Annual Returns Tech Firm Sample Finance Firm Sample 1 8.60% 1 10.10% 2 10.90% 2 8.80%...
Annual Returns
Tech Firm Sample
Finance Firm Sample
1
8.60%
1
10.10%
2
10.90%
2
8.80%
3
13.10%
3
10.10%
4
9.80%
4
12.20%
5
11.40%
5
10.40%
6
12.30%
6
7.30%
7
10.90%
7
8.60%
8
9.50%
8
12.10%
9
13.10%
9
10.90%
10
12.50%
10
9.50%
11
12.70%
11
11.10%
12
12.10%
12
10.80%
13
10.40%
14
12.50
Q8. Calculate the LCL and UCL for a 90% CI (α = 0.1) for the
difference in mean returns between...
Annual Returns Tech Firm Sample Finance Firm Sample 1 8.60% 1 10.10% 2 10.90% 2 8.80%...
Annual Returns
Tech Firm Sample
Finance Firm Sample
1
8.60%
1
10.10%
2
10.90%
2
8.80%
3
13.10%
3
10.10%
4
9.80%
4
12.20%
5
11.40%
5
10.40%
6
12.30%
6
7.30%
7
10.90%
7
8.60%
8
9.50%
8
12.10%
9
13.10%
9
10.90%
10
12.50%
10
9.50%
11
12.70%
11
11.10%
12
12.10%
12
10.80%
13
10.40%
14
12.50
Q8. Calculate the LCL and UCL for a 90% CI (α = 0.1) for the
difference in mean returns between...
(Questions 1 and 2) An experiment is conducted. The sample size is 30. A sample average...
(Questions 1 and 2) An experiment is conducted. The sample size
is 30. A sample average is observed. To test the null hypothesis
that the population average equals a particular value versus the
alternative hypothesis that the population average is not equal to
a particular value, a two tailed hypothesis test is performed.
(Critical region in the two tails). The test statistic— the sample
average—is normally distributed. The stated significance levels for
the test are 5% and 1%. In other...
Consider the following data collected from four independent populations: Sample 1 Sample 2 Sample 3 Sample...
Consider the following data collected from four independent
populations:
Sample 1 Sample 2 Sample 3 Sample 4
3 14 21 8
8 9 15 3
6 13 16 13
5 14
a. Calculate the total sum of squares
(SST).
b. Partition the total sum of squares (SST) into its two
components.
c. Using a= 0.001, what conclusions can be made about the
population means?
Consider the data in the table collected from three independent populations. Sample 1 Sample 2 Sample...
Consider the data in the table collected from three independent
populations.
Sample 1
Sample 2
Sample 3
4
3
4
a) Calculate the total sum of squares (SST) and partition the
SST into its two components, the sum of squares between (SSB) and
the sum of squares within (SSW).
2
2
2
9
1
1
5
b) Use these values to construct a one-way ANOVA table.
c) Using alphaαequals=0.05,
what conclusions can be made concerning the population
means?
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