An article presents a study of the failure pressures of roof panels. A sample of 15 panels constructed with 8-inch nail spacing on the intermediate framing members had a mean failure pressure of 8.48 kPa with a standard deviation of 0.96 kPa. A sample of 15 panels constructed with 6-inch nail spacing on the intermediate framing members had a mean failure pressure of 9.93 kPa with a standard deviation of 1.02 kPa. Can you conclude that 6-inch spacing provides a higher mean failure pressure

There is sufficient evidence to conclude that six inches spacing has a higher mean failure pressure than 8 inches

Reject level of significance

Step-by-step explanation:

From the question we are told that:

Sample size 1

Spacing 1

Mean 1

Standard deviation 1

Sample size 2

Spacing 2

Mean 1

Standard deviation 1

Generally the hypothesis is mathematically given as

Null

Alternative

Generally the equation for pooled estimate is mathematically given by

Therefore

Generally the equation for test statistics is mathematically given by

Therefore From table

Therefore

There is sufficient evidence to conclude that six inches spacing has a higher mean failure pressure than 8 inches

Reject level of significance