Mathematics, 17.03.2020 04:36 Angelanova69134

A sample of 14001400 computer chips revealed that 69i% of the chips fail in the first 10001000 hours of their use. The company's promotional literature states that 71q% of the chips fail in the first 10001000 hours of their use. The quality control manager wants to test the claim that the actual percentage that fail is different from the stated percentage. Make the decision to reject or fail to reject the null hypothesis at the 0.020.02 level.

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Answer from: aesthetickait

No, there is not enough evidence at the 0.02 level to support the manager's claim.

Step-by-step explanation:

We are given that the company's promotional literature states that 71% of the chips fail in the first 1000 hours of their use. Also, a sample of 1400 computer chips revealed that 69% of the chips fail in the first 1000 hours of their use.

And the quality control manager wants to test the claim that the actual percentage that fail is different from the stated percentage, i.e;

Null Hypothesis, H_0 : p = 0.71 {means that the actual percentage that fail is same as the stated percentage}

Alternate Hypothesis, H_1 : p $\neq$ 0.71 {means that the actual percentage that fail is different from the stated percentage}

The test statistics we will use here is;

T.S. = $\frac{\hat p -p}{\sqrt{\frac{\hat p(1- \hat p)}{n} } }$ ~ N(0,1)

where, p = actual percentage of chip fail = 0.71

$\hat p$ = percentage of chip failed in a sample of 1400 chips = 0.69

n = sample size = 1400

So, Test statistics = $\frac{0.69 -0.71}{\sqrt{\frac{0.69(1- 0.69)}{1400} } }$

= -1.620

Now, at 0.02 significance level, the z table gives critical value of -2.3263 to 2.3263. Since our test statistics lie in the range of critical values which means it doesn't lie in the rejection region, so we have sufficient evidence to accept null hypothesis.

Therefore, we conclude that the actual percentage that fail is same as the stated percentage and the manager's claim is not supported.

Answer from: Quest

answer: 26

step-by-step explanation:

well, michelle wanted to measure the height of her school's flagpole she placed a mirror on the ground 48 feet from the flagpole then walk backwards until she was able to see the top of the pole in the mirror her eyes were 5 feet above the ground and she was 12 ft from the mirror using similar triangles find the height of the flagpole to the nearest tenth of a foot find the geometric mean of them pair of numbers. its easy math

Answer from: Quest

i believe it is 0.1m because the measurement of 30.4m limits how precise you can be

you can only be as precise as the least precise measurement

What is the level of precision for the solution to the addition problem below? 6.339 m 0.170 m + 30

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A sample of 14001400 computer chips revealed that 69i% of the chips fail in the first 10001000 hours...