Question

A pharmaceutical company is checking their medicines according to the regulations imposed. The company must ensure that their medicine contains exactly the amount prescribed. For a certain pill they tested they require the pill to be 24mg. The random sample of 26 that they took revealed that this was not the case. The mean weight of the pills in the sample was 26.46mg with a standard deviation of 7.50mg.
Use α = 0.1 to answer the following questions.

a)

What type of test would be appropriate in this situation?

	A right-tailed test. H0: μ≤24, H1: μ>24.
	A left-tailed test. H0: μ≥24, H1: μ<24.
	A two-tailed test. H0: μ=24, H1: μ≠24.
	None of the above.

b)

Which of the following sounds like an appropriate decision rule?

	Reject H0 in favour of H1 if the computed value of the test statistic is less than -1.708 or greater than 1.708
	Reject H0 in favour of H1 if the computed value of the test statistic is between -1.708 and 1.708
	Reject H0 in favour of H1 if the computed value of the test statistic is less than -1.708
	Reject H0 in favour of H1 if the computed value of the test statistic is greater than 1.708
	None of the above

c) What is the computed test statistic?
answer should be accurate to at least two decimal places.

Test statistic: ____

d)

Based on your computed test statistic and the decision rule you have decided upon, what can we conclude about H₀?

	There is sufficient evidence, at the given significance level, to reject H0.
	There is insufficient evidence, at the given significance level, to reject H0; or we fail to reject H0.
	There is insufficient evidence to make it clear as to whether we should reject or not reject the null hypothesis

Answer 1