IET STATS
Modified 9-6. For the following hypothesis test:
with n = 100, σ = 9, and = 48.1, state
a. the decision rule in terms of the critical value of the test statistic
Reject the null hypothesis
b. the calculated value of the test statistic t=(48.1-45)/(9/sqrt 80) =
3.1/1.0062 = 3.08
c. the appropriate p-value
d. the conclusion
Question 36 from Practice Quiz:
Excel file WorkHours contains the above data.
a. State the appropriate null and alternative hypotheses.
b. what is the t-critical value (stated in hours)?
c. Calcuate t-test statistcs.
The t statistic is .13
d. Based on your answer in part b and c, what conclusion should be reached with respect to the null hypothesis?
9-16. The makers of Mini-Oats Cereal have an automated packaging machine that can be set at any targeted fill level between 12 and 32 ounces. Every box of cereal is not expected to contain exactly the targeted weight, but the average of all boxes filled should. At the end of every shift (eight hours), 16 boxes are selected at random and the mean and standard deviation of the sample are computed. Based on these sample results, the production control manager determines whether the filling machine needs to be readjusted or whether it remains all right to operate. Use α = 0.05.
a. Establish the appropriate null and alternative hypotheses to be tested for boxes that are supposed to have an average of 24 ounces.
Ho: u= 24 OZ
Ha: u≠ 24 OZ
b. At the end of a particular shift during which the machine was filling 24-ounce boxes of Mini-Oats, the sample mean of 16 boxes was 24.32 ounces, with a standard deviation of 0.70 ounce. Assist the production control manager in determining if the machine is achieving its targeted average. t = (24.32 – 24)/(.7/sqrt16) = 1.830 t = +- 2.1315 since -2.1315 than a = .1
Modified 9-28. A test of hypothesis has the following hypotheses:
For a sample size of 40, and a sample proportion of 0.5,
a. For an α = 0.025, determine the critical
with n = 100, σ = 9, and = 48.1, state
a. the decision rule in terms of the critical value of the test statistic
Reject the null hypothesis
b. the calculated value of the test statistic t=(48.1-45)/(9/sqrt 80) =
3.1/1.0062 = 3.08
c. the appropriate p-value
d. the conclusion
Question 36 from Practice Quiz:
Excel file WorkHours contains the above data.
a. State the appropriate null and alternative hypotheses.
b. what is the t-critical value (stated in hours)?
c. Calcuate t-test statistcs.
The t statistic is .13
d. Based on your answer in part b and c, what conclusion should be reached with respect to the null hypothesis?
9-16. The makers of Mini-Oats Cereal have an automated packaging machine that can be set at any targeted fill level between 12 and 32 ounces. Every box of cereal is not expected to contain exactly the targeted weight, but the average of all boxes filled should. At the end of every shift (eight hours), 16 boxes are selected at random and the mean and standard deviation of the sample are computed. Based on these sample results, the production control manager determines whether the filling machine needs to be readjusted or whether it remains all right to operate. Use α = 0.05.
a. Establish the appropriate null and alternative hypotheses to be tested for boxes that are supposed to have an average of 24 ounces.
Ho: u= 24 OZ
Ha: u≠ 24 OZ
b. At the end of a particular shift during which the machine was filling 24-ounce boxes of Mini-Oats, the sample mean of 16 boxes was 24.32 ounces, with a standard deviation of 0.70 ounce. Assist the production control manager in determining if the machine is achieving its targeted average. t = (24.32 – 24)/(.7/sqrt16) = 1.830 t = +- 2.1315 since -2.1315 than a = .1
Modified 9-28. A test of hypothesis has the following hypotheses:
For a sample size of 40, and a sample proportion of 0.5,
a. For an α = 0.025, determine the critical