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. The critical value of the sample mean is ____. (round to the nearest hundredth) Q2. Which of the following correctly describe the acceptance region for the null hypothesis? We accept the null hypothesis if the observed sample mean is greater than the critical value of sample mean. We accept the null hypothesis if the observed sample mean is less than the critical value of sample mean. We accept the null hypothesis if the observed sample mean is less than the negative critical value of sample mean or greater than the positive critical value of sample mean . We accept the null hypothesis if the observed sample mean is between the negative and positive critical value of sample mean. Q3. Which of the following is the correct way to compute the p-value for this hypothesis test? qnorm((6.3-6)/0.25) 1- qnorm((6.3-6)/0.25) qnorm((6.3-6)/2) 1- qnorm((6.3-6)/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. The critical value of the sample mean is ____. (round to the nearest hundredth)
Q2. Which of the following correctly describe the acceptance region for the null hypothesis?
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We accept the null hypothesis if the observed sample mean is greater than the critical value of sample mean. |
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We accept the null hypothesis if the observed sample mean is less than the critical value of sample mean. |
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We accept the null hypothesis if the observed sample mean is less than the negative critical value of sample mean or greater than the positive critical value of sample mean . |
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We accept the null hypothesis if the observed sample mean is between the negative and positive critical value of sample mean. |
Q3. Which of the following is the correct way to compute the p-value for this hypothesis test?
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qnorm((6.3-6)/0.25) |
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1- qnorm((6.3-6)/0.25) |
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qnorm((6.3-6)/2) |
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1- qnorm((6.3-6)/2) |
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