Food_Rating Decor_Rating Service_Rating Location_(0=City_1=Suburbs) Cost 22 14 1

Question

Food_Rating Decor_Rating Service_Rating Location_(0=City_1=Suburbs) Cost 22 14 19 0 29 20 15 20 0 28 23 19 21 0 43 19 18 18 0 32 24 16 18 0 44 22 22 21 0 44 22 20 20 0 50 20 19 19 0 42 21 17 19 0 44 20 18 18 0 36 23 22 24 0 61 20 19 20 0 50 21 19 21 0 51 24 19 21 0 50 25 23 23 0 76 22 21 21 0 53 23 15 22 0 44 26 22 24 0 77 21 23 21 0 57 24 15 19 0 43 21 15 19 0 29 23 16 16 0 34 25 21 26 0 77 22 20 21 0 50 26 25 24 0 74 23 21 21 0 56 22 19 17 0 67 26 20 23 0 57 26 23 25 0 66 24 23 24 0 80 22 23 23 0 68 24 16 23 0 42 20 17 19 0 48 25 19 23 0 60 23 20 21 0 35 21 19 22 0 45 20 16 18 0 32 23 15 18 0 25 26 24 24 0 74 21 18 18 0 43 22 16 19 0 39 19 23 21 0 55 24 19 21 0 65 23 16 20 0 35 24 26 22 0 61 21 17 18 0 37 21 17 19 0 54 23 19 22 0 41 23 19 21 0 33 23 14 19 0 27 24 20 22 1 47 22 18 22 1 48 18 13 18 1 35 22 23 20 1 59 22 18 24 1 44 23 25 24 1 51 20 12 18 1 37 19 18 19 1 36 22 19 21 1 43 27 21 27 1 52 19 14 18 1 34 22 11 19 1 38 24 22 24 1 51 19 15 19 1 34 21 23 21 1 51 21 19 21 1 34 23 19 23 1 51 23 20 22 1 56 21 13 19 1 26 24 19 22 1 34 20 18 20 1 34 24 22 24 1 44 23 17 22 1 40 23 16 21 1 31 23 18 22 1 54 19 12 22 1 41 22 17 21 1 50 26 27 24 1 71 22 21 23 1 60 19 15 17 1 37 21 12 20 1 27 26 18 22 1 34 22 25 21 1 48 21 21 21 1 39 20 20 20 1 44 22 18 22 1 41 23 20 19 1 37 24 21 23 1 47 23 27 22 1 67 24 24 22 1 68 26 17 24 1 49 22 22 19 1 29 24 18 22 1 33 20 19 20 1 39 26 19 23 1 39 22 15 21 1 28 18 20 18 1 46 26 27 25 1 70 25 26 23 1 60 22 25 22 1 52

Explanation / Answer

Null Hypotheses:

H0 mu1 = mu2

Ha: mu1 not equal to mu2

(Two tailed test for comparison of means)

n1 = n2 = 50

t = 1.8288
  df = 98
  standard error of difference = 2.657

p value =0.0705

Because p value > alpha 0.05 accept null hypothesis

The means in city and suburbs do not have statistically significant differences.

There is not enough evidence

Mean 49.26 44.4 SD 14.95 11.38 SEM 2.11 1.61 N 50 50

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