Select all that justify the following statement.<br><br> 2 • = 1

An engineer has designed a valve that will regulate water pressure on an automobile engine. The valve was tested on 100100 engin

Margaret [11]

Answer:

Null hypothesis: $\mu \geq 7.3$

Alternative hypothesis: $\mu < 7.3$

$z=\frac{7.2-7.3}{\frac{0.81}{\sqrt{100}}}=-1.235$

$p_v =P(z$

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 to reject the null hypothesis, so then we can conclude that the mean pressure for the automobile engines is not significantly less than 7.3 at 1% of significance.

Step-by-step explanation:

1) Data given and notation

$\bar X=7.2$ represent the sample mean

$\sigma=0.81$ represent the population standard deviation

$n=100$ sample size

$\mu_o =7.3$ represent the value that we want to test

$\alpha=0.01$ represent the significance level for the hypothesis test.

z would represent the statistic (variable of interest)

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

2) State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean pressure is lower than the specificated value 7.3, the system of hypothesis are :

Null hypothesis: $\mu \geq 7.3$

Alternative hypothesis: $\mu < 7.3$

Since we know the population deviation, is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

z-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".

3) Calculate the statistic

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

$z=\frac{7.2-7.3}{\frac{0.81}{\sqrt{100}}}=-1.235$

4) P-value

Since is a one-side lower test the p value would given by:

$p_v =P(z$

5) 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 to reject the null hypothesis, so we can conclude that the mean pressure for the automobile engines is not significantly less than 7.3 at 1% of significance.

7 0

3 years ago

taki has her back to a wall. she starts to walk straight forward. she stops and turns 133° to the right and walks back in this d

Nikitich [7]

I'd like to assume that the triangle is a right triangle and you solve for x so...

133 + c = 180 (supplementary property to find one angle of triangle)
c = 47

x = 180 - 90 - 47 (int. angles of triangle = 180)
= 90 - 47
= 43

Therefore, x is 43 degrees

6 0

3 years ago

Please help find mDF!!

Natalka [10]

9514 1404 393

Answer:

72°

Step-by-step explanation:

The external angle E is half the difference of subtended arcs CG and DF.

E = (CG -DF)/2

2E = CG -DF . . . . . . multiply by 2

DF = CG -2E = 160° -2(44°) . . . . . add DF-2E to both sides; substitute values

arc DF = 72°

4 0

3 years ago

Solve the inequality k + 3<5

lina2011 [118]

Answer:

3324333

Step-by-step explanation:

5 0

3 years ago

List the names and corresponding speeds from least to greatest in miles per hour. Julie 62 miles per hour manalo 311,520 feet pe

Flauer [41]

1st: 311,520 feet per second
2nd: 62 miles per hour
3rd: 1,448 meters per minute

3 0

3 years ago

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Select all that justify the following statement. 2 • = 1