7) A machine that fills cereal boxes is supposed to be calibrated so that the mean fill weight is 12 oz. Let μ denote the true mean fill weight. Assume that in a test of the hypotheses H 0 : μ = 12 against H 1 : μ ≠ 12, the p-value is found to be 0.42. Check all that are true: a)H0 should not be rejected on the basis of this test. b)H0 should be rejected on the basis of this test. c)p-value = 0.42 is not small. d)p-value = 0.42 is small. e)Both the null and the alternative hypotheses are plausible. f)The null hypothesis is plausible and the alternative hypothesis is false. g)The null hypothesis is false.

7) A machine that fills cereal boxes is supposed to be calibrated so that the mean fill weight is 12 oz. Let μ denote the true mean fill weight. Assume that in a test of the hypotheses H 0 : μ = 12 against H 1 : μ ≠ 12, the p-value is found to be 0.42. Check all that are true: a)H0 should not be rejected on the basis of this test. b)H0 should be rejected on the basis of this test. c)p-value = 0.42 is not small. d)p-value = 0.42 is small. e)Both the null and the alternative hypotheses are plausible. f)The null hypothesis is plausible and the alternative hypothesis is false. g)The null hypothesis is false.

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Description: 7)A machine that fills cereal boxes is supposed to be calibrated so that the mean fill weight is 12 oz. Let μ denote the true mean fill weight. Assume that in a test of the hypotheses H 0 : μ = 12 against H 1 : μ ≠ 12, the p-value is found to be 0.42

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Suppose, you work with the Quality Assurance Team of a Biscuit Company, and a customer complains that the mean weight of the biscuit packet you are selling is less than 250 gm when you have claimed it to be of weight 250 gm in the packet. To test the customer's claim, you sampled 25 biscuit packets and measured their weights. Let be the hypothesized mean weight of a biscuit packet that your company claims, and the null and alternative hypotheses have been formulated as: At a 5% level of significance (), what will be the conclusion from a one-sample t-test (assuming that all the assumptions of the test are satisfied) if you obtain a p-value of 0.023?
A common characterization of obese individuals is that their body mass index is at least 30 [BMI = weight/(height)2, where height is in meters and weight is in kilograms]. An article reported that in a sample of female workers, 269 had BMIs of less than 25, 156 had BMIs that were at least 25 but less than 30, and 121 had BMIs exceeding 30. Is there compelling evidence for concluding that more than 20% of the individuals in the sampled population are obese? (c) What is the probability of not concluding that more than 20% of the population is obese when the actual percentage of obese individuals is 23%? (Round your answer to four decimal places.)
A common characterization of obese individuals is that their body mass index is at least 30 [BMI = weight/(height)2, where height is in meters and weight is in kilograms]. An article reported that in a sample of female workers, 269 had BMIs of less than 25, 156 had BMIs that were at least 25 but less than 30, and 121 had BMIs exceeding 30. Is there compelling evidence for concluding that more than 20% of the individuals in the sampled population are obese? (a) State the appropriate hypotheses with a significance level of 0.05. H0: p = 0.20Ha: p > 0.20H0: p > 0.20Ha: p = 0.20 H0: p = 0.20Ha: p < 0.20H0: p = 0.20Ha: p ≠ 0.20 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) z=P-value= What can you conclude? Reject the null hypothesis. There is sufficient evidence that more than 20% of the population of female workers is obese.Reject the null hypothesis. There is not…
4... State the null hypothesis, Ho, and the alternative hypothesis, Ha, that would be used to test each of the following claims. (a) The mean weight of honeybees is at least 11 grams. Ho: ? ---Select--- equal to greater than less than not equal to 11 Ha: ? ---Select--- equal to greater than less than not equal to 11 (b) The mean age of patients at Memorial Hospital is no more than 54 years. Ho: u ---Select--- equal to greater than less than not equal to 54 Ha: u ---Select--- equal to greater than less than not equal to 54 (c) The mean amount of salt in granola snack bars is 75 mg. Ho: u ---Select--- equal to greater than less than not equal to 75 Ha: u ---Select--- equal to greater than less than not equal to 75
A local chess club claims that the length of time to play a game has a mean of 43 minutes or more. Write sentences describing type I and type II errors for a hypothesis test of this claim. A type I error will occur if the actual mean of the length of time to play a game is ▼ equal to less than or equal to not equal to greater than or equal to greater than less than 43 minutes, but you ▼ reject fail to reject the null hypothesis, ▼ Upper H 0 : mu greater than or equals 43H0: μ≥43 Upper H 0 : mu not equals 43H0: μ≠43 Upper H 0 : mu equals 43H0: μ=43 Upper H 0 : mu less than or equals 43H0: μ≤43 Upper H 0 : mu greater than 43H0: μ>43 Upper H 0 : mu less than 43H0: μ<43 . A type II error will occur if the actual mean of the length of time to play a game is ▼ greater than less than or equal to less than greater than or equal to equal to not equal to 43 minutes, but you ▼ fail to reject reject the null hypothesis, ▼ Upper H 0…
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A sample of 100 flounder have a sample mean weight of 21.5 grams. Scientists wish to perform a hypothesis test to determine if the mean weight differs from 20 grams. State the appropriate null and alternative hypotheses.
A local chess club claims that the length of time to play a game has a mean of 23 minutes or more. Write sentences describing type I and type II errors for a hypothesis test of this claim. A type I error will occur if the actual mean of the length of time to play a game is ▼ less than equal to less than or equal to greater than not equal to greater than or equal to 23 minutes, but you ▼ fail to reject reject the null hypothesis, ▼ Upper H 0 : mu less than 23H0: μ<23 Upper H 0 : mu equals 23H0: μ=23 Upper H 0 : mu not equals 23H0: μ≠23 Upper H 0 : mu less than or equals 23H0: μ≤23 Upper H 0 : mu greater than or equals 23H0: μ≥23 Upper H 0 : mu greater than 23H0: μ>23 . A type II error will occur if the actual mean of the length of time to play a game is ▼ not equal to greater than or equal to equal to greater than less than or equal to less than 23 minutes, but you ▼ fail to reject reject the null hypothesis, ▼…
Based on these data, can the consumer group conclude, at the 0.05 level of significance, that the mean tread wear of Brand 2 exceeds that of Brand 1? Answer this question by performing a hypothesis test regarding μd (which is μ with a letter "d" subscript), the population mean difference in tread wear for the two brands of tires. Assume that this population of differences (Brand 1 minus Brand 2) is normally distributed.Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified. (If necessary, consult a list of formulas.) A. Find the value of the test statistic. (Round to three or more decimal places.) B. Find the critical value at the 0.05 level of significance. (Round to three or more decimal places.) C. At the 0.05 level, can the consumer group conclude that mean tread wear of Brand 2 exceeds that of Brand 1?
Based on these data, can the consumer group conclude, at the 0.05 level of significance, that the mean tread wear of Brand 2 exceeds that of Brand 1? Answer this question by performing a hypothesis test regarding μd (which is μ with a letter "d" subscript), the population mean difference in tread wear for the two brands of tires. Assume that this population of differences (Brand 1 minus Brand 2) is normally distributed.Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified. (If necessary, consult a list of formulas.) A. Find the critical value at the 0.05 level of significance. (Round to three or more decimal places.)
As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the accuracy rate for fingerprint identification is less than 0.85. There is not sufficient evidence to warrant rejection of the claim that the accuracy rate for fingerprint identification is less than 0.85. The sample data support the claim that the accuracy rate for fingerprint identification is less than 0.85. There is not sufficient sample evidence to support the claim that the accuracy rate for fingerprint identification is less than 0.85.
A report in LTO stated that the average age of taxis in the Philippines is 9 years. An operationsmanager of a large taxi company selects a sample of 40 taxis and finds the average age of the taxis is8.2 years. The standard population is 2.3 years. At can it be concluded that the average ageof the taxis in his company is less than the national average?