Question
In: Statistics and Probability
The following are values of independent samples from two different populations. Sample 1 122 114 130...
The following are values of independent samples from two different populations.
| Sample 1 | 122 | 114 | 130 | 165 | 144 | 133 | 139 | 142 | 150 |
| Sample 2 | 108 | 125 | 122 | 132 | 120 | 137 | 128 | 138 | 140 |
Test to a 5% level if the two samples are taken from a population with the same mean or if population 1 has a higher true mean.
a) assume population 1 has a known standard deviation of 10 and population 2 has a known standard deviation of 5
b) assume population 1 has a known standard deviation of 10 and population 2 has a known standard deviation of 20
Solutions
Expert Solution
| Sample 1 | Sample 2 | ||
| Mean | 137.6666667 | Mean | 127.7777778 |
| Standard Error | 5.063485844 | Standard Error | 3.435022957 |
| Median | 139 | Median | 128 |
| Mode | #N/A | Mode | #N/A |
| Standard Deviation | 15.19045753 | Standard Deviation | 10.30506887 |
| Sample Variance | 230.75 | Sample Variance | 106.1944444 |
| Kurtosis | 0.263853644 | Kurtosis | 0.146314599 |
| Skewness | 0.228395489 | Skewness | -0.685470841 |
| Range | 51 | Range | 32 |
| Minimum | 114 | Minimum | 108 |
| Maximum | 165 | Maximum | 140 |
| Sum | 1239 | Sum | 1150 |
| Count | 9 | Count | 9 |
| Confidence Level(95.0%) | 11.67641929 | Confidence Level(95.0%) | 7.921177144 |
a)
b)
orchestra answered 3 years agoRelated Solutions
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