Round 32,521 to the nearest ten thousand

Mathematics

2 answers:

joja [24]3 years ago

4 0

When u round 32,521 to the nearest ten it would be 30,000

Rom4ik [11]3 years ago

3 0

When you round 32,521 to the nearest ten thousand, it rounds to 32,000.

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Leya [2.2K]

Answer:

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

Alpha, α = 0.10

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.

Formula:

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

$t_{stat} = -1.35$

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.

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Nimfa-mama [501]

Let's split the problem in non-intersecting subsets: we have $87$ good wood racquets, $13$ defective wood rackets, $90$ good graphite racquets, $10$ defective graphite rackets.

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