Question

Archaeologist have found that the mean length of arrowheads found in New Mexico is u=2.6cm. In a recently discovery in the state, archaelogist found that a sample of 61 arrowheads, gave a sample mean of 2.92cm and a sample standard deviation of 0.85cm. Do these data indicate that the mean length of projectile points in the state is longer than 2.6cm? Use a=0.01.

a) Establish the null and alternative hypothesis. What "tail" does this test have?

b) What is the value of the test statistic? Draw the t- value on a normal curve.

c) Find the P-value.

d) Do you reject or not reject H₀? Explain

e) Interpret the results in the context of this problem.

Answer 1