A manager in a company needs to make sure that the cereal packages weigh at least fourteen ounces (14.0) on average. Assume that the standard deviation of the weight of the packages is known to be 0.5 ounces. The manager tasks one of her employees to choose 30 packs at random and find the average weight. For what values would the manager tell the employee to reject the production, if she wanted the probability of a Type I error to be 0.05 or less?
A. reject production if the sample mean is below the critical mean value of 13.90 ounces.
B. reject production if the sample mean is below the critical mean value of 13.82 ounces.
C. reject production if the sample mean is below the critical mean value of 13.85 ounces.
D. None of these answers are correct.
A manager in a company needs to make sure that the cereal packages weigh at least...
A cereal company claims that the mean weight of the cereal in packets is 14 oz. The weights (in ounces) of the cereal in a random of sample of 8 its cereal packets are listed below: 14.6, 13.8, 14.1, 13.7, 14.0, 14.4, 13.6, 14.2 Test the claim at the a = 0.05, significance level. Which of the following is not true?Assume the population from which the data is selected is normally distributed The distribution is left tail The conclusion is...
Question 19 1 pts A cereal company claims that the mean weight of the cereal in packets is 14 oz. The weights (in ounces) of the cereal in a random of sample of 8 its cereal packets are listed below: 14.6, 13.8, 14.1, 13.7, 14.0, 14.4, 13.6, 14.2 Test the claim at the a = 0.05, significance level. Which of the following is not true?Assume the population from which the data is selected is normally distributed The distribution is left...
QUESTION 5 A cereal company claims that the mean weight of the cereal in its packets is at least 14 oz. The weights (in ounces) of the cereal in a random sample of 8 of its cereal packets are listed below 14.6 13.8 14.1 13.7 14.0 14.4 13.6 14.2 1) Find the point estimate: 2) At the 0.01 significance level, test the claim that the mean weight is less than 14 ounces Hypothesis T-value p-value the following decision is correct?...
A cereal company claims that mean weight of cereal boxes is at most 16.1 ounces. Suppose that a plant manager wishes to test whether the true mean weight of cereal boxes is greater than 16.1 ounces. Suppose that for this problem the population standard deviation is 0.4 and the population distribution is normal. The manager obtain a random sample of size 25 and finds a mean of 16.3 ounces. Using p value approach test the claim of company at significance...
Weights of cereal in 16 ounce boxes are normally distributed with a mean of 16 ounces and a standard deviation of 0.12 ounce. Respond to the following: a)What is the probability that a cereal box selected at random will have at least 15.95 ounces? b)What is the probability that the mean of a sample of 16 boxes will be at least 15.95 ounces? c)In a production of 10,000 boxes, how many would you expect to be below 15.95 ounces? d)The...
A manufacturer of detergent claims that the contents of boxes sold weigh on average at least 30 ounces. The distribution of weights is known to be normal with standard deviation 0.7. A random sample of 25 boxes yielded an average weight of 29.7 ounces. Suppose an inspector wants to test the null hypothesis that the population mean weight is at least 30 ounces. That is, test the null hypothesis Họ : 4 = 30 against the alternative hypothesis He: u...
A large candy manufacturer in Slidell produces, packages, and sells packs of candy targeted to weigh 500 grams. The weight of a pack of candy is normally distributed with the mean μ=500 grams, but Parker Sanderson, a quality control manager working for the company, was concerned that the variation in the actual weights of the targeted 500-gram packs was larger than acceptable. That is, he was concerned that some packs weighed significantly less than 500-grams and some weighed significantly more...
A cereal company claims that the mean weight of the cereal in its packets is more than 14 oz. The weights (in oz) of the cereal in a random sample of 8 cereal packets are listed below. You may assume the sample data comes from a population that follows a normal distribution. Using a 0.05 significance level, test the companies claim. State the null hypothesis H0. State the alternative hypothesis H1. What is the test statistic? State the alpha level....
The production manager of Twin Forks Inc., has asked your assistance in evaluating a modified box production process. When the process is operating properly, the process produces boxes whose weights are normally distributed with a population mean of 5 ounces, population standard deviation of 0.1 ounce and the population distribution is normal. A new raw-material supplier was used for a recent production run, and the manager wants to know if that change has resulted in a lowering of the mean...
(Round all intermediate calculations to at least 4 decimal places.) A local botter in Hawaii wishes to ensure that an average of 26 ounces of passion fruit juice is used to fill each bottle in order to analyze the accuracy of the bottling process he takes a random sample of 43 bottles. The mean weight of the passion fruit juice in the sample is 25 70 ounces Assume that the population standard deviation is 1 19 ounce Use Table 1...