Question 1 (6 p) Indicate if the following statements are true or false: al We s

Question

Question 1 (6 p) Indicate if the following statements are true or false: al We suspect that test-driven development is better than writing tests afterwards, i.e. results in fewer faults in the system we are looking at. This is a two-tailed test. b) When conducting an ANOVA we need to make sure that four assumptions are valid. One of those assumptions is that the variance of the variables is the same. c) A residual is the amount by which an observation differs from its expected value, the latter being based on the whole population from which the statistical unit was chosen randomly. d) When conducting an ANOVA we reject the null hypothesis when the p-value is less than the level of significance. d) A Type II error is made when we fail to reject the null hypothesis when it is false. d) In a two-tailed hypothesis test we fail to reject H 0: ?,-Hs for the means of two populations with significance level alpha-0.05. A possible range of the difference of those means is [3, 10].

Explanation / Answer

a) The given statement is False. (Ans).

b) One of the assumptions of ANOVA is constant variance of

the variables i.e. the variance is same for all that variables.

Hence, the given statement is True. (Ans).

c) Residual is the difference between the actual value and the

expected value. Hence, the given statement is True. (Ans).

d) Type II error is fail to reject the null hypothesis when it is

false. Thus, the given statement is True. (Ans).

e) The range or confidence interval of the difference of two

means depend on the sample means, sample size, sample

variance and level of significance. So, there is no such values

between which it should lie. Hence, the given statement is

False. (Ans).

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