In: Statistics and Probability
"Durable press" cotton fabrics are treated to improve their recovery from wrinkles after washing. "Wrinkle recovery angle" measures how well a fabric recovers from wrinkles. Higher is better. Here are data on the wrinkle recovery angle (in degrees) for a random sample of fabric specimens. Assume the populations are approximately normally distributed with unequal variances. A manufacturer believes that the mean wrinkle recovery angle for Hylite is better. A random sample of 25 Permafresh (group 1) and 20 Hylite (group 2) were measured. Test the claim using a 1% level of significance.
EXPLAIN ALL STEPS ON THE TI-84
| Permafresh | Hylite |
|---|---|
| 148 | 137 |
| 128 | 139 |
| 156 | 143 |
| 118 | 132 |
| 117 | 140 |
| 154 | 145 |
| 135 | 143 |
| 129 | 145 |
| 136 | 134 |
| 151 | 145 |
| 128 | 134 |
| 114 | 143 |
| 125 | 134 |
| 157 | 135 |
| 122 | 146 |
| 163 | 137 |
| 146 | 139 |
| 126 | 138 |
| 90 | 141 |
| 131 | 139 |
| 120 | |
| 135 | |
| 133 | |
| 146 | |
| 146 |
H0: Select an answer μ σ² s² x̄₁ μ₁ x̄₂ μ₂
p = Select an answer x̄₂ μ₂ p x̄₁ μ₁ s² μ
σ²
H1: Select an answer σ² p μ₂ s² μ₁ μ x̄₁
x̄₂ Select an answer = ≠ ≤ < > ≥ Select
an answer μ s² μ₂ x̄₂ μ₁ p σ² x̄₁
Select the correct symbols.
Test Statistic= Give answer to 4 decimal places.
p-value=
Give answer to 4 decimal places.