(This question is very similar to a module 5 question, but expanded to include hypothesis testing.) 16 subjects were randomly assigned to one of two groups, called "Sentences" or "Intentional" for a memory experiment. Subjects were given a list of 50 words. Subjects in the "Sentences" group were told to form multiple sentences, each using at least two words from the list, and to keep forming sentences until all the words were used at least one time. Subjects in the "Intentional" group were told to spend 5 minutes memorizing as many of the #50 words as possible. Subjects from both groups were then asked to write down as many words from their lists they could remember. You are interested in drawing inference on the difference in the population avg # of words recalled for subjects in the "sentences" group vs. subjects in the "intentional" group. The data is in the table below.

"Sentences" group	33	31	30	34	28	36	35	31
"Intentional" group	30	33	32	34	31	31	32	33

(For these questions, round all numeric answers to three decimal places) a. Enter the values for the following statistics: x_sentences = s_sentences = x_intentional = s_intentional = (x_sentences - x_intentional) = standard error of (x_sentences - x_intentional) = b. Construct an approximate 95% confidence interval for _sentences - _intentional Lower bound = Upper bound = e. From these results, our statistical conclusion should be: (You have two attempts at this question.)

Fail to reject H₀; we have good evidence that _sentences is greater than _intentional, because the 95% CI excludes zero.

Reject H₀; have good evidence that _sentences is greater than _intentional, because the 95% CI excludes zero.

Fail to reject H₀; we have don't have good evidence about whether _sentences is greater or smaller than _intentional, because the 95% CI excludes zero.

Reject H₀; we have don't have good evidence about whether _sentences is greater or smaller than _intentional, because the 95% CI excludes zero.

Fail to reject H₀; we have good evidence that _sentences is greater than _intentional, because the 95% CI contains zero.

Reject H₀; we have good evidence that _sentences is greater than _intentional, because the 95% CI contains zero.

Fail to reject H₀; we have don't have good evidence about whether _sentences is greater or smaller than _intentional, because the 95% CI contains zero.

Reject H₀; we have don't have good evidence about whether _sentences is greater or smaller than _intentional, because the 95% CI contains zero. f. What type of error *might* we have made? (You have two attempts at this question.)

We might have made a Type I error, because a Type I error is failing to reject a false H₀.

We might have made a Type I error, because a Type I error is failing to reject a true H₀.

We might have made a Type I error, because a Type I error is rejecting a true H₀.

We might have made a Type I error, because a Type I error is rejecting a false H₀.

We might have made a Type II error, because a Type II error is failing to reject a false H₀.

We might have made a Type II error, because a Type II error is failing to reject a true H₀.

We might have made a Type II error, because a Type II error is rejecting a true H₀.

We might have made a Type II error, because a Type II error is rejecting a false H₀.

We might have made either a Type I or a Type II error; both are possible.

We cannot possibly have made a Type I or a Type II error; neither are possible.