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 18mg. The random sample of 16 that they took revealed that this was not the case. The actual mean weight of the pills was 21 .90mg with a standard deviation of 7.50mg.
Use (t-statistics and a = 0.01 to answer the following questions.
For full marks round your answer for part c) to 2 decimal places and for part e) round your answer to 4 decimal places.
a) What type of test would be appropriate in this situation?
- A right-tailed test.
- A left-tailed test.
- A two-tailed test
- None of the above.
b) Which of the following sounds like an appropriate decision rule?
- Reject Ho in favour of H1 if the computed value of the test statistic is less than -2.947 or greater than 2.947
- Reject Ho in favour of H1 if the computed value of the test statistic is between -2.947 and 2.947
- Reject Ho in favour of if the computed value of the test statistic is less than -2.947
- Reject Ho in favour of H1 if the computed value of the test statistic is greater than 2.947
- None of the above
e) 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 computed test statistic and the decision rule you have decided upon, what can we conclude about Ho?
- There is sufficient evidence, at the given significance level, to reject Ho.
- There is insufficient evidence, at the given significance level, to reject H0 and so Flo will be accepted or at least not be rejected.
- There is insufficient evidence to make it clear as to whether we should reject or not reject the null hypothesis.
e) Round your computed test statistic to two decimal places and find the P-value. For full marks your answer should be accurate to at least four decimal places.
P-value: 0