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4 years ago

The 83 members of the Newman Middle

Mathematics

1 answer:

Llana [10]4 years ago

8 0

Answer:

$50/student.

Step-by-step explanation:

The 83 members of the Newman Middle school have already raised $850 of the total $5,000 needed to buy new percussion instruments. To find out how much is left to raise, we must subtract that $850 from the total $5,000 needed, which leaves us with $4,150.

The question is asking us how much should each student raise on average to meet the goal. They tell us there are 83 members, and we know, from our calculations, that there are $4,150 left to raise. Thus, we can divide the $4,150 by the 83 members to find our answer of how much money each student, on average, will have to raise.

4,150/83 = 50. Hence, each student will have to still raise, on average, $50 to meet the goal of $5,000.

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An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such tha

BartSMP [9]

Answer:

The decision rule is

Reject the null hypothesis

Step-by-step explanation:

From the question we are told that

The population mean is $\mu = 5.6 \ pounds/inch^2$

The sample size is n = 160

The sample mean is $\= x = 5.7 \ pounds/ inch^2$

The variance is $\sigma ^2 = 0.25$

The level of significance is $\alpha = 0.01$

The null hypothesis is $H_o : \mu = 5.6$

The alternative hypothesis is $H_a : \mu > 5.6$

Generally the standard deviation is mathematically represented as

$\sigma = \sqrt{\sigma ^2 }$

=> $\sigma = \sqrt{0.25 }$

=> $\sigma = 0.5$

Generally the test statistics is mathematically represented as

$z = \frac{\= x - \mu }{ \frac{\sigma}{\sqrt{n} } }$

=> $z = \frac{5.7 - 5.6 }{ \frac{0.5 }{\sqrt{ 160 } } }$

=> $z = 2.53$

From the z table the area under the normal curve to the left corresponding to 2.53 is

$p-value = P(Z > 2.53 ) =0.0057$

From the value obtained we see that the $p-value < \alpha$ hence

The decision rule is

Reject the null hypothesis

The conclusion is

There is sufficient evidence to conclude that the believe that the valve performs above the specifications is true

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Step-by-step explanation:

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Answer:

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3 years ago

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