Question

In: Statistics and Probability

"Durable press" cotton fabrics are treated to improve their recovery from wrinkles after washing. "Wrinkle recovery...

"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.

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