On average, humans can type at about 41 words per minute (wpm), with a variance of 12.25 wpm. Vignash ran an experiment testing if constructing Lego sets can increase dexterity, thereby increasing wpm. His results were significant (p= .0125). Unfortunately, a lot of data was lost before Vignash was able to publish it. Using the information given, provide the missing raw data below (indicated with a "?" in a shaded box). Please remember to show all the rough work used to find the missing data.

Raw Scores:

43.42

41.95

43.01

43.40

41.91

40.71.

41.46

43.93

?

40.08

44.83

41.50

44.11

41.25

43.81

43.11

What is the x bar for this data?

What is the SEM for this data?

What is the z value for this data?

Please show all calculations.