Yahoo Answers is shutting down on May 4th, 2021 (Eastern Time) and beginning April 20th, 2021 (Eastern Time) the Yahoo Answers website will be in read-only mode. There will be no changes to other Yahoo properties or services, or your Yahoo account. You can find more information about the Yahoo Answers shutdown and how to download your data on this help page.
Trending News
DESPERATE for Stats homework help (10 points for best answer)!?
The supervisor of a production line believes that the average time to assemble an electronic component is 17 minutes. Assume that assembly time is normally distributed with a standard deviation of 3.8 minutes. The supervisor times the assembly of 20 components, and finds that the average time for completion was 17.85 minutes. Is there evidence that the average amount of time required to assemble a component is something other than 17 minutes?
We should reject at 9% level of significance if
test-statistic < -1.341
test-statistic > 1.392
| test-statistic | > 1.341
| test-statistic | > 1.695
If α= 0.09, what will be your conclusion?
not enough information to reach a decision
Do not reject H0
Reject H0
The p-value of the test is equal to
0.8414
0.1586
0.3171
Please show work/explain so I can understand this for my exam. THANK YOU!
1 Answer
- AlanLv 71 year ago
Since you say different,
the 9 % alpha
mean from alpha/2 to 1 - alpha/2
4.5 % to 95.5 leaving 91 % in the middle
so find P(z< Z) = 0.955
P(z<1.69) = .95449
P(z< 1.70) = 0.95543
so it is between 1.69 and 1.70
so reject it must least than -1.69 or greater than 1.69
so the correct answer is
| test-statistic | > 1.695
so for X = 17.85
Z = (x-mean)/ (standard deviation/sqrt(N)
Z = (17.85-17) / (3.8/sqrt(20))
Z = 0.85/ 0.8497058314 = 1.0003462005
since 1.0003 < 1.695 , you cannot reject the NULL Hypothesis
answer 2:
Do not reject H0
P(z<1.00) read from the z-table = 0.84134
from this z-table
https://www.math.arizona.edu/~rsims/ma464/standard...
so from your answers
0.8414