A sample of n = 4 is selected from a population with µ = 50.After a treatment is administered to the individuals in the sample,the mean is found to be M = 55 and the variance is s2= 64.
a. For a two-tailed test, what is the null hypothesis usingstatistical notation?
b. For a two-tailed test, what is the alternative hypothesisusing statistical notation?
c. What is the estimated standard error?
d. What is the value/s for tcrit for a two-tailed test with α =.05
e. What is the value/s for tobt?
f. Is the data statistically significant for a two-tailed testwith α = .05? NOTE: simply writing that the effect is significant(e.g., only writing “reject the nullâ€) without showing anywork/calculations in parts a-e will result in point zeropoints.
g. What is estimated Cohen’s d?
h. if you increased the size of the sample, how will this affectthe likelihood of rejecting the null hypothesis?
i. If the variance increases, how will this affect thelikelihood of rejecting the null hypothesis?
