# Hypothesis Testing/Regression Analysis/ANOVA Testing

Please see attached. There are a total of 5 problems. Student is requiring assistance in how these problems are worked.

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RES342

QUESTION ONE

Solution:

Hypotheses:

H There is no difference between the mean annual rates of return between NYSE and NASDAQ, i.e.

HA: The mean annual rates of return of big board is higher than that of NASDAQ, i.e.

Test Statistic: t = follows a t-distribution with (n-1) degrees of freedom.

Level of significance:

Decision Rule: Reject the null hypothesis if p-value < alpha.

Calculations:

NYSE NASDAQ D

17.16 15.8 1.36

17.08 16.28 0.8

15.51 16.21 -0.7

8.43 17.97 -9.54

25.15 7.77 17.38

Mean D = 1.86

SD = 9.730848

t = =

p-value = 0.345512

Conclusion: Since p-value is greater than 10%, we do not reject the null hypothesis. Hence, there is insufficient evidence to conclude at 10% level of significance that the mean annual rates of return of big board are higher than that of NASDAQ.

QUESTION TWO

Solution:

Automobile Regular Mid-grade Super Premium

1 21 23 26

2 23 22 25

3 24 25 27

4 24 24 26

5 26 26 30

6 26 26 27

7 28 28 32

Anova: Single ...

#### Solution Summary

The expert examines hypothesis testing, regression analysis and ANOVA testing.