Where?Kara Danvers (Supergirl) has always relied on her strength to win fights.But what happens when she meets an alien just as strong?Her sister is training her to be a more technical fighter so that Supergirl can meet any challenge.The data below record the significant strikes during randomly selected training sessions 6 months apart.Is Kara showing improvement in her fighting?

Strikes (pre):

29

32

44

34

19

Strikes (post):

51

45

68

92

64

a)Write the Hypotheses:

_______________, the mean difference in ___________ between ____________ and ______________ is _______________

_______________, the mean difference in ___________ between ____________ and ______________ is _______________

b)Are the conditions for inference met? (draw a picture of the histograms)

c)Provide the calculations:

a.Sample diff:_________________________________

b.Standard err:_____________________________________

c.T-stat:__________________________________________

d.P-value:_________________________________________

d)Write the conclusion:

At the 5% level of significance, we ______________ that the mean difference in ___________ between ____________ and ______________ is _______________. We ________________________ the mean difference in ___________ between ____________ and ______________ is _______________. [P-value = ________ ]

e)Construct a 90% Confidence interval.

f)What does the interval mean in the context of the problem.

We are 90% confident that the difference in mean _______________

For ________________________ is between ____________ and _______________ ___________________ than __________________.

g)Did the training improve Kara's striking skills? Explain