<img src="https://tex.z-dn.net/?f=80%20-%202w%20%5Cgeqslant%2050" id="TexFormula1" title="80 - 2w \geqslant 50" alt="80

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amm1812

3 years ago

qslant 50" align="absmiddle" class="latex-formula">

Mathematics

1 answer:

djverab [1.8K]3 years ago

3 0

$80-2w \geq 50 \\ \\ 80 \geq 50+2w \\ \\ 80-50 \geq 2w \\ \\ 30 \geq 2w\quad \to \dfrac{30}{2} \geq w\quad \to \boxed{15 \geq w\to w\in (-\infty, 15 ] }$

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The average systolic blood pressure was found to be 140 mm for people who have high responsibility jobs, specifically investment

defon

Answer:

t = -1.428

Step-by-step explanation:

Average blood pressure among people with high responsibility jobs = u = 140 mm

Number of people sampled for the study = n = 51

Average blood pressure of the sample = x = 139 mm

Standard deviation of the sample = s = 5 mm

The claim is that practicing yoga decreases the blood pressure. So we have to test that after practicing yoga, the average blood pressure will be lesser than 140. Based on this we can formulate the null and alternate hypothesis as:

Null Hypothesis: $\mu \geq 140$

Alternate Hypothesis: $\mu < 140$

Since population standard deviation is not known, we cannot use z-distribution for this test. We are given the value of sample standard deviation, so t-test will be used for this case.

Test statistic is calculated as:

$t=\frac{x-u}{\frac{s}{\sqrt{n} } }$