Let G be an undirected connected graph with distinct edge weight. Let emax be the edge with maximum weight and emin the edge with minimum weight. Which of the following statements is false?

An experiment was performed to compare the abrasive wear of two different laminated materials. Twelve pieces of material 1 were tested by exposing each piece to

a machine measuring wear. Ten pieces of material 2 were similarly tested. In each

case, the depth of wear was observed. The samples of material 1 gave an average

(coded) wear of 85 units with a sample standard deviation of 4, while the samples

of material 2 gave an average of 81 with a sample standard deviation of 5. how many degree of freedom

A manufacturer of sports equipment has developed a new synthetic fishing line that

the company claims has a mean breaking strength of 8 kilograms with a standard

deviation of 0.5 kilogram. Test the hypothesis that μ = 8 kilograms against the

alternative that μ is not equal to 8 kilograms if a random sample of 50 lines is tested and found

to have a mean breaking strength of 7.8 kilograms. Use a 0.01 level of significance. What is critical region

A random sample of 100 recorded deaths in the United States during the past

year showed an average life span of 71.8 years. Assuming a population standard

deviation of 8.9 years, does this seem to indicate that the mean life span today is

greater than 70 years? Use a 0.05 level of significance.

A manufacturer of sports equipment has developed a new synthetic fishing line that

the company claims has a mean breaking strength of 8 kilograms with a standard

deviation of 0.5 kilogram. Test the hypothesis that μ = 8 kilograms against the

alternative that μ is not equal to 8 kilograms if a random sample of 50 lines is tested and found

to have a mean breaking strength of 7.8 kilograms. Use a 0.01 level of significance. What is critical region

A random sample of 100 recorded deaths in the United States during the past

year showed an average life span of 71.8 years. Assuming a population standard

deviation of 8.9 years, does this seem to indicate that the mean life span today is

greater than 70 years? Use a 0.05 level of significance.

The

native is true.