Anewspaper reports that the population mean annual salary of a full-time college professor in a certain region is exactly $127,000. scott wants to test the report by claiming that the population mean annual salary of a full-time college professor in the region is not $127,000. he selects a random sample of 160 full-time college professors in the region and calculates the sample mean salary to be $126,092 with a sample standard deviation of $8,509. the test statistic t for a hypothesis test of h0: μ=127,000 versus ha: μ≠127,000 is t≈−1.35 with 159 degrees of freedom. if 0.10
select all that apply:

a) reject the null hypothesis that the true population mean annual salary of full-time college professors in the region is equal to $127,000.

b) fail to reject the null hypothesis that the true population mean annual salary of full-time college professors in the region is equal to $127,000.

c) there is enough evidence at the α=0.01 level of significance to support the claim that the true population mean annual salary of a full-time college professor in the region is not equal to $127,000.

d) there is not enough evidence at the α=0.01 level of significance to suggest that the true population mean annual salary of a full-time college professor in the region is not equal to $127,000.

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