A production line operation is tested for filling weight accuracy using the following hypotheses. (filling error no more than 6. So, keep the production line running) (filling error greater than 6. So, stop and adjust the production line) The sample size is 64; the sample mean is 6.3; the population standard deviation is 2; and the significance level is 0.01. The probability of making Type II error in this hypothesis test is 0.440. Q1) Which of the following statement correctly describes the Type II error in this hypothesis test is correct? Please select the best answer below. a) We mistakenly conclude that the filling accuracy is acceptable when it is indeed not acceptable. b) We correctly conclude that the filling accuracy is not acceptable. c) We mistakenly conclude that the filling accuracy is not acceptable when it is indeed acceptable. d_ We correctly conclude that the filling accuracy is acceptable. Q2) As the sample size increases, (please see attached screenshot) a) x decreases, beta increases, and the p-values decreases b) x does not change, beta decreases, and the p-value decreases c) x does not change, beta decreases, and the p-value increases d) x decreases, beta decreases and the p--value increases
A production line operation is tested for filling weight accuracy using the following hypotheses.
(filling error no more than 6. So, keep the production line running)
(filling error greater than 6. So, stop and adjust the production line)
The sample size is 64; the sample mean is 6.3; the population standard deviation is 2; and the significance level is 0.01.
The probability of making Type II error in this hypothesis test is 0.440.
Q1) Which of the following statement correctly describes the Type II error in this hypothesis test is correct? Please select the best answer below.
a) We mistakenly conclude that the filling accuracy is acceptable when it is indeed not acceptable.
b) We correctly conclude that the filling accuracy is not acceptable.
c) We mistakenly conclude that the filling accuracy is not acceptable when it is indeed acceptable.
d_ We correctly conclude that the filling accuracy is acceptable.
Q2) As the sample size increases, (please see attached screenshot)
a) x decreases, beta increases, and the p-values decreases
b) x does not change, beta decreases, and the p-value decreases
c) x does not change, beta decreases, and the p-value increases
d) x decreases, beta decreases and the p--value increases
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