Test the claim that a brewery fills bottles with amounts having a mean less than 32 oz. A sample of 22 bottles produces a mean of 31.8 oz. and a population s. d. of 0.4 oz. What type of error could you have made in your decision? Use 1% significance level.
Test the claim that a brewery fills bottles with amounts having a mean less than 32...
Test the claim that a place fills bottles with amounts having a mean less than 32 oz. A sample of 22 bottles produces a mean of 31.8 oz. and a population s. d. of 0.4 oz. What type of error could you have made in your decision? Use 1% significance level Please set up the null and alternate hypothesis and calculate the test statistic. Write the conclusion in terms of the problem.
A local brewery distributes beer in bottles labeled 24 ounces. A government agency thinks that the brewery is cheating its customers. The agency selects 50 of these bottles, measures their contents, and obtains a sample mean of 23.6 ounces with a standard deviation of 0.8 ounces. Use a 0.01 significance level (α = 0.01) to test the agency's claim that the brewery is cheating its customers (that the average volume of their beers is less than 24 ounces). H0: Ha:...
A manufacturer fills soda bottles. Periodically they test to see if there is a difference in the amount of soda put in cola and diet cola bottles. A random sample of 14 cola bottles contains an average of 502 mL of cola with a standard deviation of 4 mL. A random sample of 16 diet cola bottles contains an average of 499 mL of cola with a standard deviation of 5 mL. Test the claim that there is a difference...
Suppose a brewery has a filling machine that fills 12-ounce bottles of beer. It is known that the amount of beer poured by this filling machine follows a normal distribution with a mean of 12 ounces and a standard deviation of 0.08 ounce. Use this information to answer the questions that follow. Imagine that all possible samples of size 25 are taken from the population of this brewery's 12- ounce bottles of beer. Describe the sampling distribution of 2. i....
A hypothesis test is conducted to test the null hypothesis that the mean is less than 12. Use a 0.01 level of significance. What type of test is this? Right tail Two tail Left tail What is the critical value? 2.33 -2.33 1.78 correct answer is not given Suppose the test statistic was -2.50 What is the conclusion? Fail to reject Ho. There is not sufficent evidence to support the claim that the mean is less than 12. Reject Ho....
You wish to test the claim that the first population mean is greater than the second population mean at a significance level of α = 0.002 . H o : μ 1 = μ 2 H a : μ 1 > μ 2 You obtain the following two samples of data. Sample one 70.3 82.4 62.3 97.4 69.1 63.3 64.7 89.4 81.6 67.6 82.0 51.0 53.4 68.8 73.5 sample2 60.2 61.0 62.8 62.8 75.3 77.4 68.8 61.0 58.5 What is...
A machine fills milk bottles. The amount of milk poured by the machine in each bottle is approximately normal with unknown mean u and standard deviation o = 0.06 oz. To meet company operational standards, the machine should pour with mean = 32 oz. Suppose the company's quality control team checks 48 filled bottles chosen at random to determine if the machine is operating properly. (a) If an a = 0.05 test is used to decide whether the machine is...
Suppose a brewery has a filling machine that fills 12-ounce bottles of beer. It is known that the amount of beer poured by this filling machine follows a normal distribution with a mean of 12 ounces and a standard deviation of 0.04 ounce. Use this information to answer the questions that follow. Imagine that all possible samples of size 25 are taken from the population of this brewery’s 12-ounce bottles of beer. Describe the sampling distribution of x ¯. i....
8a. Means - A brewery distributes beer in bottles labeled 10 ounces. Some people think they are getting less than they pay for. The local Bureau of Weights and Measures randomly selects 70 of these bottles, measures their contents and obtains a sample mean of 9.9 ounces. Assuming that σ is known to be 0.10 ounces, is it valid at a 0.05 significance level to conclude that the brewery is cheating the consumer? 8b. (Means) A bottling company distributes pop...
Suppose you want to test the claim that the mean is less than or equal to 25.6. Given a sample size of n = 40 with sample standard deviation of 2, and a level of significance of alpha = 0.05, when would you reject the null hypothesis? Select one: a. Reject null if the test statistic is greater than 1.96. b. Reject null if the test statistic is greater than 2.021. c. Reject null if the test statistic is greater...