Cerebral blood flow (CBF) in the brains of healthy people is normally distributed with a mean of73. A random sample of 25 stroke patients resulted in an average CBF ofx=69.5

with a standard deviation ofs=12.

Test the hypothesis that the average CBF for stroke patients is different from that of healthy people using= 0.05.

State the null and alternative hypotheses.

H₀:73 versusH_a:= 73

H₀:= 73 versusH_a:< 73

H₀:= 73 versusH_a:73

H₀:< 73 versusH_a:> 73

H₀:< 73 versusH_a:= 73

State the test statistic. (Round your answer to three decimal places.)

t=

State the rejection region. (If the test is one-tailed, enter NONE for the unused region. Round your answers to three decimal places.)

t>t<

State the conclusion.

H₀is not rejected. There is insufficient evidence to conclude that the average CBF for stroke patients is different from 73.

H₀is rejected. There is insufficient evidence to conclude that the average CBF for stroke patients is different from 73.

H₀is rejected. There is sufficient evidence to conclude that the average CBF for stroke patients is different from 73.

H₀is not rejected. There is sufficient evidence to conclude that the average CBF for stroke patients is different from 73.

You may need to use the appropriateappendix tableto answer this question.