mean St deviation 5,04 1,435 Perform a hypothesis test for the statement the mean is less than 5.69 with a significance of 0.005 using the sample data presented in the table.
The page called Observatory conducted a nationwide survey in a project, among the large amount of data that was captured the following was asked: answer the following question using a scale of one to seven being one not at all trustworthy and seven very trustworthy¿ to what extent do you believe that the courts of justice guarantee a fair trial?
We are interested in knowing the opinion in the state of Buenaventura. In Buenaventura, the average response was 5.69. If 4 is regular confidence, then this mean can be interpreted as: on average the people of Buenaventura have more than the regular level of confidence. We want to test the statement: the average confidence in the courts of justice is less than 5.69. For this, a sample is taken and 32 people are asked the same question, obtaining the following results for this sample:
| mean | St deviation |
| 5,04 | 1,435 |
Perform a hypothesis test for the statement the mean is less than 5.69 with a significance of 0.005 using the sample data presented in the table.
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