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A Mayor claims that the residents in the Caribbean community in which he serves

ID: 3387498 • Letter: A

Question

A Mayor claims that the residents in the Caribbean community in which he serves earn, on average, 60 thousand dollars (US$) per year. A resident disagrees with this claim and decided to conduct a survey of 85 residents in the community to gather data on their annual income. The data was inputted into MINITAB for analysis. Exhibit 1 below was generated by MINITAB. Exhibit 1 One-Sample Z: Income level Test of = 60 vs 60 The assumed standard deviation = 16.84 Variable N Mean StDev SE Mean 95% CI Z P Income level 85 55.66 16.84 * (52.08, 59.24) ** *** (i) State the null and the alternative hypotheses for this test. (ii) Calculate the missing values ‘*’, ‘**” and ‘***”. (iii) Using a 5% level of significance, what is the conclusion for this test? Justify your answer.

Explanation / Answer

A Mayor claims that the residents in the Caribbean community in which he serves

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