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prohojiy [21]
3 years ago
11

Twice the difference of x and 5

Mathematics
1 answer:
Novosadov [1.4K]3 years ago
7 0

Answer:

2*(x-5) = -33, so x-5 = -16.5, so x = -11.5

This is assuming that "the difference between a and b" is a-b, which seems to be the accepted interpretation.

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A newspaper reports that the population mean annual salary of a full-time college professor in a certain region is exactly $127,
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Option 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.                

Step-by-step explanation:

We are given the following in the question:  

Population mean, μ =  $127,000

Sample mean, \bar{x} = $126,092

Sample size, n = 160

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Sample standard deviation, σ = $8,509

First, we design the null and the alternate hypothesis

H_{0}: \mu = 127000\text{ dollars}\\H_A: \mu \neq 127,000\text{ dollars}

We use Two-tailed t test to perform this hypothesis.

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t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }

t_{stat} = -1.35

Now, t_{critical} \text{ at 0.10 level of significance, 159 degree of freedom } = \pm 1.654

Since,                  

The calculated t-statistic lies in the acceptance region, we fail to reject and accept the null hypothesis.

Option 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.

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