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. Q1) Which of the following is the correct way to compute the p-value for this hypothesis test? Please select the best answer. a) qnorm((6.3-6)/0.25) b) 1- qnorm((6.3-6)/0.25) c) qnorm((6.3-6)/2) d) 1- qnorm((6.3-6)/2) Q2) Which of the following statement is correct about the p-value of this hypothesis test? a) cannot be determined. b) p-value is less than the significance level. c) p-value is greater than the significance level d) p-value is equal to the significance level Q3) Suppose the critical value of sample mean you derived earlier is c. Which of the following R script can correctly compute the beta (probability of making type II error)? Please select the answer. a) 1- pnorm((c-6.5)/2) b) pnorm((c-6.5)/0.25) c) 1- pnorm((c-6.5)/0.25) d) pnorm((c-6.5)/2)
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
Q1) Which of the following is the correct way to compute the p-value for this hypothesis test? Please select the best answer.
a) qnorm((6.3-6)/0.25)
b) 1- qnorm((6.3-6)/0.25)
c) qnorm((6.3-6)/2)
d) 1- qnorm((6.3-6)/2)
Q2) Which of the following statement is correct about the p-value of this hypothesis test?
a) cannot be determined.
b) p-value is less than the significance level.
c) p-value is greater than the significance level
d) p-value is equal to the significance level
Q3) Suppose the critical value of sample mean you derived earlier is c. Which of the following R script can correctly compute the beta (probability of making type II error)? Please select the answer.
a) 1- pnorm((c-6.5)/2)
b) pnorm((c-6.5)/0.25)
c) 1- pnorm((c-6.5)/0.25)
d) pnorm((c-6.5)/2)
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