A new material will replace the old material only if there is significant evidence that the mean strength of the new material is more than 2 units higher than the mean strength of the old material. Sample from new material: mean is 98.064 , SD is 5.6 and sample size is 13 Sample from old material: mean is 95.282 , SD is 5.8 and sample size is 78 We do not know population standard deviations. Consider the test ?0:????−????=2H0:μnew−μold=2 vs. ?0:????−????>2H0:μnew−μold>2 What is the p-value? (Hint: best to use software, or else the Desmos Calculator for the 2 sample T and Z test) Give as a decimal between 0 and 1 accurate to at least 4 decimal places.
A new material will replace the old material only if there is significant evidence that the mean strength of the new material is more than 2 units higher than the mean strength of the old material.
Sample from new material: mean is 98.064 , SD is 5.6 and
Sample from old material: mean is 95.282 , SD is 5.8 and sample size is 78
We do not know population standard deviations.
Consider the test
?0:????−????=2H0:μnew−μold=2 vs. ?0:????−????>2H0:μnew−μold>2
What is the p-value? (Hint: best to use software, or else the Desmos Calculator for the 2 sample T and Z test)
Give as a decimal between 0 and 1 accurate to at least 4 decimal places.
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