Question: Use the data given after the questions: Question 1. The mean self-esteem score of students who took financial accounting (TFA) is significantly different from those
Use the data given after the questions:
Question 1.The mean self-esteem score of students who took financial accounting (TFA) is significantly different from those who did not take Financial Accounting (NFA). Using the given data, test this claim for a 5% level of significance.
a) Hypothesis.
b) Test.
c) Conclusion and decision.
Question 2.For the students who did not take financial accounting (NFA), analyze the popular idea that "higher self-esteem can lead to higher happiness".
a) Provide the relevant results.
b) Illustrate the relationship using the appropriate chart.
c) Interpret the prediction equation with a numerical example.
d) Test for the linearity of the relationship.
i) (2 points) Hypothesis.
ii) (3 points) Test.
ii) (2 points) Conclusion and decision.
Question 3.The mean self-esteem score of students who took financial accounting (TFA) is more than the college happiness score of 42. Using the given data, test this claim for a 5% level of significance.
a) Hypothesis.
b) Test.
c) Conclusion and decision.
| Self-Esteem (TFA) | Happiness (TFA) | Self-Esteem (NFA) | Happiness (NFA) |
| 44.00 | 46.46 | 26.78 | 30.37 |
| 31.54 | 47.30 | 36.38 | 33.48 |
| 42.56 | 32.11 | 52.54 | 32.05 |
| 37.93 | 37.92 | 42.90 | 37.28 |
| 45.13 | 45.92 | 43.04 | 38.97 |
| 40.38 | 49.85 | 38.81 | 38.01 |
| 56.45 | 39.01 | 26.27 | 39.12 |
| 41.00 | 33.47 | 37.50 | 34.24 |
| 54.84 | 42.83 | 34.33 | 34.79 |
| 33.16 | 54.07 | 25.69 | 34.92 |
| 38.33 | 47.74 | 35.26 | 37.25 |
| 39.55 | 44.63 | 47.73 | 41.50 |
| 44.54 | 42.10 | 44.34 | 31.65 |
| 40.31 | 43.79 | 42.06 | 37.47 |
| 39.60 | 46.43 | 31.58 | 37.06 |
| 45.90 | 36.75 | 47.69 | 31.02 |
| 39.35 | 52.00 | 36.43 | 36.58 |
| 51.34 | 41.11 | 32.19 | 45.00 |
| 48.63 | 41.91 | 28.02 | 36.08 |
| 48.92 | 55.83 | 30.86 | 41.24 |
| 47.81 | 46.83 | 33.80 | 35.17 |
| 36.70 | 64.41 | 47.05 | 35.51 |
| 34.09 | 34.86 | 40.82 | 38.77 |
| 37.69 | 41.47 | 40.75 | 37.36 |
| 43.44 | 34.33 | 38.13 | 33.07 |
| 55.98 | 28.34 | 37.01 | 45.84 |
| 30.94 | 39.48 | 39.66 | 35.84 |
| 44.44 | 47.14 | 35.97 | 36.80 |
| 39.69 | 40.64 | 35.25 | 32.74 |
| 41.79 | 47.51 | 39.29 | 34.63 |
| 37.71 | 46.17 | 36.73 | 33.87 |
| 45.95 | 40.72 | 36.21 | 51.95 |
| 40.77 | 42.38 | 31.04 | 36.19 |
| 37.68 | 44.86 | 46.15 | 35.89 |
| 51.23 | 40.46 | 47.51 | 36.24 |
| 41.76 | 37.49 | 55.67 | 37.76 |
| 36.01 | 31.59 | 47.46 | 38.36 |
| 36.68 | 51.20 | 44.79 | 40.16 |
| 40.68 | 44.94 | 34.89 | 33.59 |
| 45.18 | 49.61 | 44.60 | 38.85 |
| 43.19 | 40.90 | 39.73 | 42.32 |
| 40.18 | 36.94 | 40.81 | 33.89 |
| 43.57 | 40.33 | 43.48 | 37.50 |
| 52.05 | 43.49 | 35.34 | 43.61 |
| 42.08 | 35.50 | 32.39 | 35.30 |
| 42.29 | 47.42 | 41.44 | 31.69 |
| 32.81 | 46.47 | 57.82 | 40.19 |
| 38.25 | 52.54 | 49.33 | 39.40 |
| 45.45 | 41.79 | 29.75 | 37.02 |
| 41.92 | 41.86 | 35.77 | 36.53 |
| 47.18 | 31.21 | 48.24 | 38.09 |
| 49.39 | 48.93 | 29.90 | 34.65 |
| 36.68 | 43.59 | 55.71 | 39.20 |
| 49.81 | 37.69 | 42.29 | 38.70 |
| 39.89 | 40.18 | 39.40 | 38.60 |
| 53.83 | 39.29 | 39.54 | 34.70 |
| 40.67 | 49.50 | 55.85 | 37.77 |
| 48.53 | 27.75 | 27.18 | 36.65 |
| 38.50 | 48.74 | 26.14 | 32.41 |
| 33.57 | 59.10 | 39.96 | 40.94 |
| 41.27 | 45.00 | 45.19 | 40.93 |
| 42.66 | 38.27 | 35.93 | 37.41 |
| 44.06 | 37.69 | 25.82 | 36.39 |
| 42.26 | 36.68 | 43.91 | 38.62 |
| 40.61 | 40.18 | 34.98 | 38.47 |
| 48.88 | 57.84 | 37.73 | 44.02 |
| 50.15 | 49.49 | 46.78 | 37.85 |
| 41.87 | 37.31 | 37.13 | 45.64 |
| 34.46 | 48.10 | 33.08 | 40.68 |
| 47.89 | 49.24 | 32.21 | 35.06 |
| 47.74 | 45.87 | 27.52 | 35.48 |
| 47.75 | 44.63 | 24.37 | 37.61 |
| 42.47 | 40.69 | 30.53 | 35.40 |
| 38.23 | 40.15 | 32.87 | 36.84 |
| 43.68 | 57.22 | 43.48 | 43.69 |
| 30.86 | 44.63 | 40.77 | 39.30 |
| 42.59 | 40.13 | 30.83 | 41.86 |
| 52.01 | 47.40 | 31.64 | 44.79 |
| 48.18 | 47.85 | 40.10 | 41.08 |
| 36.21 | 41.66 | 28.20 | 29.62 |
| 38.21 | 42.78 | 41.78 | 41.41 |
| 47.73 | 38.30 | 20.43 | 38.42 |
| 42.61 | 44.57 | 36.72 | 40.73 |
| 44.73 | 44.14 | 32.40 | 34.79 |
| 31.62 | 35.21 | 47.32 | 44.23 |
| 37.95 | 42.32 | 35.32 | 41.48 |
| 39.44 | 45.80 | 45.21 | 37.33 |
| 40.89 | 40.53 | 40.79 | 34.79 |
| 38.37 | 34.42 | 35.63 | 37.06 |
| 47.04 | 44.33 | 37.66 | 35.27 |
| 45.51 | 30.78 | 41.59 | 42.77 |
| 40.54 | 45.44 | 47.27 | 39.81 |
| 35.10 | 56.54 | 35.61 | 34.52 |
| 44.13 | 33.27 | 26.96 | 38.10 |
| 36.98 | 51.94 | 38.18 | 41.58 |
| 44.01 | 46.04 | 44.01 | 28.84 |
| 44.21 | 45.67 | 45.37 | 44.28 |
| 39.06 | 39.38 | 34.65 | 38.32 |
| 41.43 | 40.07 | 38.96 | 35.82 |
| 43.00 | 45.08 | 36.64 | 42.77 |
| 46.17 | 48.40 | 28.53 | 38.85 |
| 37.73 | 32.56 | 38.56 | 35.71 |
| 47.06 | 41.96 | 32.77 | 39.43 |
| 47.29 | 43.82 | 35.88 | 33.60 |
| 30.40 | 47.85 | 50.23 | 39.69 |
| 39.88 | 45.03 | 37.62 | 36.93 |
| 41.00 | 44.86 | 50.58 | 39.79 |
| 37.38 | 58.73 | 50.49 | 39.98 |
| 45.97 | 43.92 | 35.62 | 41.17 |
| 34.69 | 29.05 | 39.64 | 37.46 |
| 36.17 | 45.12 | 31.70 | 44.82 |
| 32.80 | 45.55 | 31.64 | 37.28 |
| 38.99 | 47.29 | 42.18 | 32.30 |
| 44.01 | 38.18 | 37.90 | 34.85 |
| 43.43 | 52.57 | 38.74 | 34.61 |
| 44.24 | 42.22 | 37.04 | 39.19 |
| 41.76 | 53.09 | 48.61 | 32.13 |
| 38.86 | 45.60 | 42.46 | 39.41 |
| 38.79 | 48.15 | 50.95 | 37.77 |
| 46.35 | 52.04 | 41.27 | 42.38 |
| 39.82 | 50.94 | 26.65 | 43.72 |
| 41.53 | 43.32 | 33.87 | 41.25 |
| 47.59 | 43.66 | 48.17 | 37.22 |
| 33.37 | 34.39 | 39.81 | 34.38 |
| 41.80 | 37.12 | 40.63 | 36.62 |
| 40.28 | 49.02 | 40.87 | 39.69 |
| 39.52 | 47.93 | 33.69 | 30.94 |
| 43.03 | 46.31 | 37.33 | 34.20 |
| 39.76 | 41.07 | 47.11 | 35.84 |
| 39.11 | 50.84 | 35.24 | 48.13 |
| 45.16 | 55.53 | 35.58 | 35.87 |
| 38.67 | 44.73 | 38.43 | 41.87 |
| 34.00 | 33.51 | 35.78 | 37.21 |
| 35.91 | 50.82 | 41.99 | 45.54 |
| 41.94 | 34.72 | 46.31 | 34.35 |
| 40.15 | 36.93 | 29.15 | 32.75 |
| 38.27 | 44.49 | 43.58 | 42.46 |
| 39.25 | 46.14 | 37.52 | 31.66 |
| 41.17 | 43.06 | 32.40 | 36.07 |
| 40.59 | 47.17 | 40.40 | 38.17 |
| 45.00 | 42.33 | 41.68 | 33.35 |
| 42.66 | 31.83 | 30.55 | 40.60 |
| 45.13 | 37.09 | 46.75 | 42.22 |
| 37.28 | 34.41 | 37.60 | 35.55 |
| 42.03 | 41.92 | 42.64 | 35.60 |
| 39.30 | 38.26 | 32.05 | 37.82 |
| 49.43 | 53.84 | 36.46 | 41.08 |
| 40.81 | 41.48 | 42.13 | 42.50 |
| 33.18 | 44.81 | 39.87 | 43.27 |
| 46.83 | 45.12 | 47.74 | 39.26 |
| 39.18 | 45.21 | 55.01 | 35.35 |
| 37.51 | 46.07 | 45.37 | 40.41 |
| 48.98 | 53.02 | 47.44 | 38.84 |
| 39.64 | 36.44 | 21.59 | 38.82 |
| 36.93 | 44.35 | 42.17 | 34.67 |
| 42.15 | 45.26 | 39.46 | 30.71 |
| 40.84 | 45.84 | 43.03 | 36.07 |
| 43.30 | 49.92 | 46.66 | 32.02 |
| 42.23 | 48.17 | 42.64 | 41.00 |
| 39.96 | 36.56 | 29.46 | 29.75 |
| 41.66 | 48.59 | 37.08 | 43.55 |
| 46.81 | 55.53 | 58.21 | 39.34 |
| 39.70 | 37.40 | 49.69 | 41.68 |
| 37.19 | 49.29 | 27.29 | 32.93 |
| 35.90 | 45.11 | 47.56 | 39.79 |
| 33.86 | 45.13 | 47.92 | 36.00 |
| 46.19 | 39.96 | 46.12 | 32.66 |
| 44.78 | 33.97 | 36.05 | 46.23 |
| 41.22 | 35.83 | 47.62 | 34.51 |
| 43.26 | 43.69 | 53.44 | 39.64 |
| 40.72 | 50.70 | 28.47 | 35.19 |
| 44.88 | 39.04 | 36.75 | 34.33 |
| 40.71 | 45.29 | 36.49 | 42.85 |
| 42.91 | 36.15 | 40.26 | 44.96 |
| 42.27 | 46.03 | 33.64 | 36.70 |
| 40.94 | 39.60 | 39.07 | 32.82 |
| 42.50 | 34.75 | 52.90 | 45.68 |
| 36.78 | 42.66 | 42.03 | 42.23 |
| 44.29 | 38.38 | 30.31 | 34.77 |
| 43.85 | 53.72 | 47.22 | 32.27 |
| 45.11 | 43.21 | 36.90 | 36.70 |
| 33.30 | 56.82 | 33.39 | 35.08 |
| 38.54 | 40.48 | 38.95 | 39.07 |
| 37.86 | 37.67 | 45.73 | 38.22 |
| 38.76 | 42.60 | 31.50 | 37.72 |
| 47.64 | 38.40 | 53.47 | 39.08 |
| 41.83 | 40.49 | 41.47 | 38.08 |
| 41.31 | 33.89 | 44.76 | 39.28 |
| 36.95 | 36.94 | 26.47 | 32.89 |
| 45.09 | 43.17 | 25.89 | 41.25 |
| 51.04 | 41.32 | 41.52 | 31.68 |
| 43.76 | 36.67 | 44.00 | 40.01 |
| 38.70 | 53.60 | 50.99 | 39.61 |
| 45.26 | 54.13 | 42.99 | 33.96 |
| 32.34 | 47.05 | 28.15 | 45.48 |
| 36.59 | 48.32 | 39.98 | 39.28 |
| 45.75 | 42.54 | 31.85 | 41.10 |
| 47.16 | 40.46 | 40.20 | 34.91 |
| 42.12 | 48.29 | 38.85 | 42.20 |
| 48.75 | 33.50 | 36.06 | 38.93 |
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