A worker for measurement Canada suspects a gas station chain hascalibrated its pumps to deliver less fuel than advertised. 15 pumpsare sampled by dispensing gas into a graduated container, until themetered amount of gasis exactly 40 L. From your sample, youcalculate the mean amount dispensed is x? = 39.7 L, with s = 0.6 L.At the ? = 0.05 level of signifciance, test the hypothesis that thestation pumps deliver less than 40 L. Assume that all conditionsfor testing hypothesis have been met.
a) Clearly defining any symbols, state the null and alternativehypothesis in symbolic form?
b) Calculate the value of the test statistic for testing abovehypothesis
c) Calculate only one of the rejection region or the p-value forthe above test.
d) State the conclusion and interpretation for the test
e) Describe the consequences of a type I error in thisscenario.
