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A new centrifugal pump is being considered for an application involving the pumping of ammonia. The specification is that the fl

cricket20 [7]

Answer:

1) We need to conduct a hypothesis in order to check if the true mean is higher than 5 gpm, the system of hypothesis would be:

Null hypothesis: $\mu \leq 5$

Alternative hypothesis: $\mu > 5$

2) $df=n-1=8-1=7$

Since is a one sided test the p value would be:

$p_v =P(t_{(7)}>2.233)=0.0304$

3) For this case is we use a significance level of 1% or 99% of confidencewe see that $p_v >\alpha$ and we don't have enough evidence to conclude that the specification is satified. But if we use a value of significance $\alpha=0.05$ or 95% of confidence we see that $p_v$ and we have enough evidence to conclude that the specification is satisfied.

Step-by-step explanation:

Data given and notation

$\bar X=6.5$ represent the sample mean

$s=1.9$ represent the sample standard deviation

$n=8$ sample size

$\mu_o =5$ represent the value that we want to test

$\alpha$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

Part 1: State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the true mean is higher than 5 gpm, the system of hypothesis would be:

Null hypothesis: $\mu \leq 5$

Alternative hypothesis: $\mu > 5$

If we analyze the size for the sample is <30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

$t=\frac{6.5-5}{\frac{1.9}{\sqrt{8}}}=2.233$

Part 2: P-value

The first step is calculate the degrees of freedom, on this case:

$df=n-1=8-1=7$

Since is a one sided test the p value would be:

$p_v =P(t_{(7)}>2.233)=0.0304$

Part d: Conclusion

If we compare the p value and the significance level given $\alpha=0.01$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can't conclude that the height of men actually its significant higher compared to the height of men in 1960 at 1% of signficance.

Part 3

For this case is we use a significance level of 1% or 99% of confidencewe see that $p_v >\alpha$ and we don't have enough evidence to conclude that the specification is satified. But if we use a value of significance $\alpha=0.05$ or 95% of confidence we see that $p_v$ and we have enough evidence to conclude that the specification is satisfied.

4 0

3 years ago

A large pizza at Tony's Pizzeria is a circle with a 14-inch diameter. Its box is a rectangular prism that is 1 14 8 inches long,

maks197457 [2]

A hexagon is a good choice for a problem like this.
If you draw a regular hexagon, you will see that the distance across it must be the same 14 1/8" to clear the 14" pizza...that distance must be side to side not vertex to vertex...
That 14 1/8" distance is the length of two apothems.
Thus the apothem is 7 1/16".

3 0

3 years ago

Solve the proportion 36/17=41/x what is x

algol [13]

Answer:

x=19.36111..

Step-by-step explanation:

to get this you would cross multiply

the equation: 36/17=41/x

which you do 36 * x = 17 * 41

divide each side by 36 to cancel it out and leave you with x

giving you (17*41)/36

do this in a calculator...

you get x=19.3611

4 0

3 years ago

WILL GIVE 100 POINTS AND BRAINLIEST! Prove that the square of the second number out of three consecutive odd numbers is four gre

Ad libitum [116K]

Answer:

Let's choose the three odd consecutive numbers 1, 3, and 5.

3^2=9

1•5=5

9-5=4

Let's try the same thing, but with the numbers 101, 103, and 105.

103^2=10609

101•105=10605

10609-10605=4

So, yes, the square of the second number out of three consecutive odd numbers is four greater than the product of the first and the third numbers.

4 0

3 years ago

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Linda just bought 7 bags of 14 cookies each. She already had 8 cookies in a jar. How many cookies does Linda have now?

Troyanec [42]

Answer:

106

Step-by-step explanation:

5 0

2 years ago

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