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Mila [183]
3 years ago
9

Solve the equation for m. ms+mv = t

Mathematics
1 answer:
Korvikt [17]3 years ago
8 0

The goal is to get m alone on one side of the equals and to get things not m on the other. With two m terms on the left it looks fine, but subtracting one sends it to the other side. Adding it back takes us back to the start.

That's not the way to start. Instead, m and s are put together with multiplying. So are m and t. Let's try instead to get m away from the other variables.

ms + mv = t

m (s + v) = t      <--- factor m out as a common factor

m = t / (s + v)    < ---- divide both sides by s + v


Thus, m =\frac{t}{s + v}

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Answer:

The critical value of <em>t</em> at 0.01 level of significance is 2.66.

Step-by-step explanation:

The hypothesis for the two-tailed population mean can be defined as:

<em>H₀</em>: <em>μ </em>= <em>μ₀</em> vs. <em>H₀</em>: <em>μ </em>≠ <em>μ₀</em>

It is provided that the population standard deviation is not known.

Since there is no information about the population standard deviation, we will use a <em>t</em>-test for single mean.

The test statistic is defined as follows:

t_{cal.}=\frac{\bar x-\mu}{s/\sqrt{n}}\sim t_{\alpha/2, (n-1)}

The information given is:

<em>n</em> = 55

<em>α</em> =<em> </em>0.01

Compute the critical value of <em>t</em> as follows:

t_{\alpha/2, (n-1)}= t_{0.01/2, (55-1)}=t_{0.005, 54}=2.66

*Use a <em>t</em>-table for the value.

If the desired degrees of freedom are not provided consider he next highest degree of freedom.

Thus, the critical value of <em>t</em> at 0.01 level of significance is 2.66.

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