Question

The thickness (in mils) of the plastic film that is coated on a substrate is believed to be influenced by the temperature at which the coating is applied. Twelve substrates are coated at a temperature of 125∘F, resulting in an average coating thickness of y one standard deviation. Another 15 substrates are coated at 150∘F, and it is found that y. Initially it was suspected that the increase in process temperature reduced the average thickness of the coating. Does the data support this claim? Use and assume that the standard deviation of both populations is not the same.

Answer 1

The data does not support the claim that the increase in process temperature reduces the average thickness of the coating. A hypothesis test would be needed to determine if there is a significant difference between the two means.

Step-by-step explanation:

The data provided does not support the claim that the increase in process temperature reduces the average thickness of the coating. To determine if the data supports the claim, we need to compare the average coating thickness at 125°F to the average coating thickness at 150°F. Since the standard deviation of both populations is not the same, we cannot directly compare the average coating thicknesses. We would need to conduct a hypothesis test to determine if there is a significant difference between the two means.