Kurtis is a statistician who claims that the population mean annual salary of an employee in Yarmouth is exactly $55,000. Gina, his colleague, believes this to be incorrect, and conjectures that the population mean annual salary of an employee in Yarmouth is greater than $55,000. To test the claim, Gina randomly selects 61 employees who work in Yarmouth and records their annual salary. Gina calculates the sample mean annual salary to be $56,500 per year with a sample standard deviation of $3,750. The test statistic t for a hypothesis test of H0:μ=55,000 versus Ha:μ>55,000 is t≈3.12. If p-value<0.005 and the level of significance is α=0.01, which of the following statements are accurate for this hypothesis test to evaluate the claim that the true population mean annual salary of an employee in Yarmouth is greater than $55,000? Select all that apply: Fail to reject the null hypothesis that the true population mean annual salary of an employee in Yarmouth is equal to $55,000. Reject the null hypothesis that the true population mean annual salary of an employee in Yarmouth is equal to $55,000. There is enough evidence at the α=0.01 level of significance to support the claim that the true population mean annual salary of an employee in Yarmouth is greater than $55,000. There is not enough evidence at the α=0.01 level of significance to suggest that the true population mean annual salary of an employee in Yarmouth is not equal to $55,000.
Kurtis is a statistician who claims that the population
Select all that apply:
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Fail to reject the null hypothesis that the true population mean annual salary of an employee in Yarmouth is equal to $55,000.
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Reject the null hypothesis that the true population mean annual salary of an employee in Yarmouth is equal to $55,000.
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There is enough evidence at the α=0.01 level of significance to support the claim that the true population mean annual salary of an employee in Yarmouth is greater than $55,000.
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There is not enough evidence at the α=0.01 level of significance to suggest that the true population mean annual salary of an employee in Yarmouth is not equal to $55,000.
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