A production line operates with a mean filling weight of 16 grams per container and is known to have a standard deviation of 0.8 gram. A quality control inspector samples 30 items to determine whether or not the filling weight has to be adjusted. The sample mean was found to be 16.32 grams. The value of the test statistic is
Select one:
a. -1.645
b. 0.4
c. 12
d. 2.19
e. 1.645
As population standard deviation is known, we will use z statistics
Hence answer here is
d. 2.19
A production line operates with a mean filling weight of 16 grams per container and is...
3. Historically, evening long-distance calls from a particular city have averaged 15.2 minutes per call. In a random sample of 35 calls, the sample mean time was 10.3 minutes. Assume the standard deviation is 5 minutes. Is there sufficient evidence to conclude that the average evening long-distance call has changed? Ho: Ha: What is the z-stat? Interpret What is the p-value? Interpret. Is there evidence that the average has changed? Does 15.2 lie within the 95% confidence interval? why is...
Case 2: Kellogg Corporation Population mean weight is 360 grams with a standard deviation of 15 grams. The quality analyst conducts a random sampling of 16 boxes found to have a sample mean weight of 370 grams. By Sampling 16 boxes, the sample mean weight is 370 grams. A. What is the Sampling error? B. What is the sample standard error of the Sample mean? Quality analyst would like to reduce the sampling error of the sample mean to One...
4. The production line for Glow toothpaste is designed to fill tubes with a mean weight of 6 oz. Periodically, a sample of 35 tubes will be selected in order to check the filling process. Quality assurance procedures call for the continuation of the filling weight for the population of toothpaste tubes is 6 ounces; otherwise the processes will be adjusted. Suppose a sample of 35 toothpaste tubes provides a sample mean of 6.1 oz and standard deviation of 0.2...
A production line operation is tested for filling weight accuracy using the following hypotheses. Hypothesis Conclusion and Action H 0: = 16 Filling okay, keep running H a: 16 Filling off standard; stop and adjust machine The sample size is 39 and the population standard deviation is = 0.9. Use = .05. Do not round intermediate calculations. What would a Type II error mean in this situation? SelectConcluding that the mean filling weight is not 16 ounces when it actually isConcluding that the...
A production line operation is tested for filling weight accuracy using the following hypotheses. Hypothesis Conclusion and Action H 0: = 16 Filling okay, keep running H a: 16 Filling off standard; stop and adjust machine The sample size is 39 and the population standard deviation is = 0.9. Use = .05. Do not round intermediate calculations. What would a Type II error mean in this situation? SelectConcluding that the mean filling weight is not 16 ounces when it actually isConcluding that the...
A production line operation is designed to fill cartons with laundry detergent to a mean weight of 32 ounces. A sample of cartons is randomly selected and weighed to determine whether overfilling is occurring. If the sample data lead to a conclusion of overfilling, the production line will be shut down and adjusted to obtain proper filling. Let mu denote the population mean of weight of detergent in a carton from the production line. Develop the null and alternative hypotheses....
CHAPTER 19 1. A production process is set up to fill containers with 16 ounces of liquid. The standard deviation σ is known to be 0.5 ounces. The quality control department periodically selects samples of 25 containers and measures the contents. (Assume the distribution of filling volumes is normal.) a. Determine the upper and lower control limits. b. Explain the meaning of the values you found in part a. 2. The upper and lower control limits of the proportions of...
A production line operation is tested for filling weight accuracy using the following hypotheses. Hypothesis Ho: 1 = 16 Hai + 16 conclusion and Action Filling okay, keep running Filling off standard; stop and adjust machine The sample size is 32 and the population standard deviation is o = 0.9. Use a = .05. Do not round intermediate calculations. a. What would a Type II error mean in this situation? Concluding that the mean filling weight is 16 ounces when...
A production line operation is tested for filling weight accuracy using the following hypotheses. Hypothesis Conclusion and Action H 0: = 16 Filling okay, keep running H a: 16 Filling off standard; stop and adjust machine The sample size is 39 and the population standard deviation is = 0.9. Use = .05. Do not round intermediate calculations. a. What would a Type II error mean in this situation? b. What is the probability of making a Type II error when...
A production line operation is tested for filling weight accuracy using the following hypotheses. Hypothesis Conclusion and Action H0: μ = 16 Filling okay; keep running. Ha: μ ≠ 16 Filling off standard; stop and adjust machine. The sample size is 30 and the population standard deviation is σ = 0.9. Use α = 0.05. (a) What would a type II error mean in this situation? Accepting H0 and letting the process continue to run when actually over-filling or under-filling...