What is the solution to 34x+95=3(14x +9)

Mathematics

1 answer:

True [87]3 years ago

3 0

Answer: x=8.5
34x+95=3(14x+9)
34x+95=42x+27
-34x -34x
————————-
95=8x+27
-27. -27
————————-
68=8x
68/8=8x/8
8.5=x

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Case: Hypothesis testing

Step 1: Null and Alternative hypotheses

$\begin{gathered} H_0:\mu=P127.50 \\ H_1:\mu\leq P127.50 \end{gathered}$

Step 2: T-test analysis

$\begin{gathered} t=\frac{\hat{x}-\mu}{\frac{s}{\sqrt{n}}} \\ t=\frac{135-127.5}{\frac{75.25}{\sqrt{450}}} \\ t=2.144 \end{gathered}$

Step 3: t-test with the significance level

$\begin{gathered} t_{\alpha}=? \\ \alpha=0.05 \\ From\text{ }tables \\ t_{0.05}=1.654 \end{gathered}$

Step 4: Comparing

$t>t_{\alpha}$

So tail to reject the null hypothesis. There is enough evidence at a 0.05 level of significance to claim that the mean spent is greater than P127.50.

Final answer:

Yes, there is evidence sufficient to conclude that the mean amount spent is greater than P127.50 per month at a 0.05 level of significance.

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devlian [24]

I think I may be missing something ... I don't completely understand your question.
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