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Is there a significant difference in the fuel economy of a car for regular unleaded and pre- mium unleaded? to test this question, a researcher randomly selects 15 drivers for a study. They were to drive their cars for one month on regular unleaded and for one month on pre- mium unleaded. The participants drove their own cars for this experiment. The average sample difference was 1.045 litres per 100 kilometres in favour of the premium unleaded, and the sample standard deviation of difference was 0.697 litres per 100 kilometres. For α = 0.01, does the test show enough evidence for the researcher to conclude thatthere is a significance in fuel economy between regular unleaded and premium unleaded petrol? Assume the differences in fuel economy figures are normally distributed in the population.
D = mu_{Regular} - mu_{Premium}
1. H_{o}: D (= ; <= ; >=) 0
H_{a}: D (< > ; > ; <) 0
2. Statistical test: (z / t) test
3. Level of significance (be careful as to one-tailed or two-tailed)
4. Set up critical values (Write the value in the box, include "-" sign if negative, if two values, just write the positive one)
5. Gather sample data: d_bar= ; n = 15; s_{d} =
6. Calculate test statistic (write your answer correct to 2 decimal places)
7. Make statistical conclusion: (Reject / Do not reject) the null hypothesis. There is (sufficient/insufficient) evidence that there is a significance difference in fuel economy between regular unleaded and premium unleaded.
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