A three-dimensional printing pen uses heated plastic to create three-dimensional objects. A kit comes with one 3D-printing pen a
1 answer:
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Answer:
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 68% of the chips fail in the first 1000 hours of their use. Also, a sample of 900 computer chips revealed that 66% 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, : p = 0.68 {means that the actual percentage that fail is same as the stated percentage}
Alternate Hypothesis, : p 0.68 {means that the actual percentage that fail is different from the stated percentage}
The test statistics we will use here is;
T.S. = ~ N(0,1)
where, p = actual percentage of chip fail = 0.68
= percentage of chip failed in a sample of 900 chips = 0.66
n = sample size = 900
So, Test statistics =
= -1.267
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:
Step-by-step explanation:
y < - 3x
y ≥ 2x + 2
Answer:
Step-by-step explanation:
Sample size of 8 infants were taken and their birth lengths in inches recorded and also 6 months lengths.
If x is length at birth time, and y 6 month length
we have as per table below.
x y x^2 y^2 xy
1 19.75 25.5 390.0625 650.25 503.625
2 20.5 26.25 420.25 689.0625 538.125
3 19 25 361 625 475
4 21 26.75 441 715.5625 561.75
5 19 25.75 361 663.0625 489.25
6 18.5 25.25 342.25 637.5625 467.125
7 20.25 27 410.0625 729 546.75
8 20 26.5 400 702.25 530
Total 158 208 3125.625 5411.75 4111.625
SSxx = 3125.625 and SSyy = 5411.75