"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 10% level of significance.
| Permafresh | Hylite |
|---|---|
| 127 | 135 |
| 120 | 141 |
| 145 | 144 |
| 135 | 141 |
| 136 | 140 |
| 147 | 142 |
| 104 | 130 |
| 125 | 136 |
| 104 | 136 |
| 121 | 142 |
| 145 | 142 |
| 135 | 143 |
| 130 | 140 |
| 118 | 137 |
| 94 | 142 |
| 128 | 140 |
| 104 | 142 |
| 137 | 139 |
| 164 | 141 |
| 140 | 137 |
| 149 | |
| 120 | |
| 141 | |
| 127 | |
| 134 |
H0:
=
H1:
Select the correct symbols.
Test Statistic= (Give answer to 4 decimal places)
p-value= (Give answer to 4 decimal places)
Based on the above we choose to
The correct summary would be:
that the mean wrinkle recovery angle for Hylite is better.