A sample of size 29, taken from a normally distributed population has a sample mean of 48.47 and a sample standard deviation of 6.40. Suppose that we have adopted the null hypothesis that the actual population mean is greater than or equal to 51, that is,H₀is that 51 and we want to test the alternative hypothesis,H₁, that < 51, with level of significance = 0.05.

a)What type of test would be appropriate in this situation?A right-tailed test.A left-tailed test.A two-tailed testNone of the above.

b)What is the critical value? (for a two-tailed test give thepositive value)

For full marks your answer should be accurate to at least two decimal places.

Critical value:

0

c)What is the computed test statistic?

For full marks your answer should be accurate to at least two decimal places.

Test statistic:

0

d)Based on your test statistic and the decision rule you have decided upon, what can we conclude aboutH₀?There is sufficient evidence, at the given significance level, to rejectH₀.There is insufficient evidence, at the given significance level, to rejectH₀; or we fail to rejectH₀.There is insufficient evidence to make it clear as to whether we should reject or not reject the null hypothesis