12 A retailer sells bags of flour which are advertised as containing 1.5 kg of flour. A trading standards officer is investigating whether there is enough flour in each bag. He collects a random sample and uses software to carry out a hypothesis test at the \(5 \%\) level. The analysis is shown in the software printout below.
| Distribution | | Statistics | |
| Z Test of a Mean |
| Null Hypothesis \(\mu = 1.5\) |
| Alternative Hypothesis < O> ◯ \(\neq\) |
| Sample |
| Mean 1.44 |
| \(\sigma 0.24\) |
| N □ 32 | |
| Z Test of a Mean | |
| Mean | 1.44 | |
| \(\sigma\) | 0.24 | |
| Result | SE | 0.0424 | |
| \multirow{3}{*}{} | N | 32 | |
| Z | -1.4142 | |
| P | 0.0786 | |
- State the hypotheses the officer uses in the test, defining any parameters used.
- State the distribution used in the analysis.
- Carry out the hypothesis test, giving your conclusion in context.