A worker for measurement Canada suspects a gas station chain has calibrated its pumps to deliver...

A worker for measurement Canada suspects a gas station chain has calibrated its pumps to deliver less fuel than advertised. 15 pumps are sampled by dispensing gas into a graduated container, until the metered amount of gasis exactly 40 L. From your sample, you calculate the mean amount dispensed is x̅ = 39.7 L, with s = 0.6 L. At the α = 0.05 level of signifciance, test the hypothesis that the station pumps deliver less than 40 L. Assume that all conditions for testing hypothesis have been met.

a) Clearly defining any symbols, state the null and alternative hypothesis in symbolic form?

b) Calculate the value of the test statistic for testing above hypothesis

c) Calculate only one of the rejection region or the p-value for the above test.

d) State the conclusion and interpretation for the test

e) Describe the consequences of a type I error in this scenario.

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Expert Solution

milcah answered 9 months ago

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