The compressive strength of concrete is being tested by a ci

The compressive strength of concrete is being tested by a civil engineer. He has 16 specimens and obtains the following data: You intend to use a level of significance of 0.1. The DOT requires that the minimum compressive strength be at least 2700 psi. (a) Identify and prove any assumptions that are required to proceed with the test. (b) Compute the test statistic and determine the conclusion of the test using the critical region. (c) Verify the result from part (b) using a confidence interval. (d) What is the minimum level of significance that will lead to reject the null hypothesis?

Solution

a)

normal distribution

n = 16

b)

for this I need more data

but when you have this data you can proceed

the formula is t = miu - xbar / (sigma / srqt(n))