Name 2. (14 points) Imagine there is a math problem that has been given to many college students across the country and the nationwide mean time to solve the problem is 110 seconds. You take a random sample of 27 students who been through a math skills workshop (to train them to solve math problems quickly) and give them this problem to solve. You believe that these students will be able to solve the problem more quickly than the national average. a. What is the nondirectional null hypothesis in symbols? I have started it for you. H0:mathsskillsworkshopstudents b. What is the nondirectional alternative hypothesis in symbols? I have started it for you. H1: mathskillsworkshopstudents c. With a two-tailed t-test with an alpha level of .05, and a sample of n=27, what are the degrees of freedom and the critical value of t ? Degrees of freedom = Critical value of t= d. When you test the sample of 27 students, you find that the mean time to solve the problem is 102.1 seconds and the standard deviation is 15.89. Calculate the value of t. SHOW YOUR WORK. Parts e. - k. are on the next page..... e. Would you rejeet the null hypothesis? (circle one) YES NO f. Would you conclude that there was a significant difference between the population mean for the time to solve the problem and the mean of your sample? (circle one) YES NO g. Imagine you write this for a scientific joumal. Fall in the blanks: i= h. What is the effect size (using the estimated d) for this ecample? Show your work. i. How would you characterize (evalwate) this effect size? j. If you decided to use a one-tailed test, what is the directional null hypothesis in symbols? Ho: Hine dinin witer masa k. If you decided to use a one-tailed test, what is the directioal alternative hypothesis in symbols? H1: Mma dill wemdep nubut.

1. Name 2. (14 points) Imagine there is a math problem that has been given to many college
students across the country and the nationwide mean time to solve the problem is 110 seconds.
You take a random sample of 27 students who been through a math skills workshop (to train
them to solve math problems quickly) and give them this problem to solve. You believe that
these students will be able to solve the problem more quickly than the national average. a. What
is the nondirectional null hypothesis in symbols? I have started it for you.
H0:mathsskillsworkshopstudents b. What is the nondirectional alternative hypothesis in
symbols? I have started it for you. H1: mathskillsworkshopstudents c. With a two-tailed t-test
with an alpha level of .05, and a sample of n=27, what are the degrees of freedom and the critical
value of t ? Degrees of freedom = Critical value of t= d. When you test the sample of 27
students, you find that the mean time to solve the problem is 102.1 seconds and the standard
deviation is 15.89. Calculate the value of t. SHOW YOUR WORK.
Parts e. - k. are on the next page..... e. Would you rejeet the null hypothesis? (circle one) YES
NO f. Would you conclude that there was a significant difference between the population mean
for the time to solve the problem and the mean of your sample? (circle one) YES NO g. Imagine
you write this for a scientific joumal. Fall in the blanks: i= h. What is the effect size (using the
estimated d) for this ecample? Show your work. i. How would you characterize (evalwate) this
effect size? j. If you decided to use a one-tailed test, what is the directional null hypothesis in
symbols? Ho: Hine dinin witer masa k. If you decided to use a one-tailed test, what is the
directioal alternative hypothesis in symbols? H1: Mma dill wemdep nubut