Mr. Gomez is a quality control officer in a candy company. One of his responsibilitiesis ensuring that candy bars follow the standard weight. The average weight of candybars should deviate no more than 20 grams from the printed weight of 350 grams. Mr.Gomez gets a sample of 40 bars from each packing machine everyday and weighsthem. Today's sample from Machine A yielded a mean of 338 grams and a standarddeviation of 10 grams. Is there evidence that Machine A performs within standards fortoday?Is Machine A performing within standards?YesNoO Evidence is lacking

The test hypotheses are given below: Denote µ as the true mean The Null hypothesis H0: µ =350 The…

Answered: Is Machine A performing within…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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7
You wish to test the following claim (Ha) at a significance level of a = 0.005. Ho: P1 = P2 Ha: P₁ P2 You obtain 586 successes in a sample of size n₁ = 685 from the first population. You obtain 504 successes in a sample of size n2 = 541 from the second population. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... O less than (or equal to) a Ogreater than a This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null
An airline company is interested in improving customer satisfaction rate from the 70% currently claimed. The company sponsored a survey of 165 customers and found that 125 customers were satisfied. Determine whether sufficient evidence exists that the customer satisfaction rate is higher than the claim by the company.
Using the Venn Diagram from the last question find probabilitiy P(no donuts and no common rolls) show work.
Five soft drink bottling companies have agreed to implement a time management program in hopes of increasing productivity (measured in the cases of soft drinks bottled per hour). The number of cases of soft drinks bottled per hour before and after the implementation of the program are listed below: Before After 1 500 510 2 475 480 3 525 525, 4 490 495 5 530 533 a. State the appropriate null and alternative hypotheses to test whether the time management has been effective in increasing productivity. b. Calculate the value of the test statistics. c. Set up the appropriate rejection region for the hypotheses above, assuming a = 0.05. c. What is the appropriate conclusion? Justify your answer. d. Refer to Bottling Productivity Narrative. Find the approximate p-value.
The average manufacturing work week in metropolitan Chattanooga was 40,1 hours last year. It is believed that the recession has led to a reduction in the average work week. To test the validity of this belief, the hypotheses are O* Họ 2 40.1 Hạ <40.1 ObHọ - 401 H * 40.1
A vendor claims that no more than 10% of the parts she supplies are defective. Let p denote the actual proportion of parts that are defective. A test is made of the hypotheses H0 : p ≤ 0.10 versus H1 : p > 0.10. For each of the following situations, determine whether the decision was correct, a type I error occurred, or a type II error occurred. a) The claim is true, and H0 is rejected. b) The claim is false, and H0 is rejected. c) The claim is true, and H0 is not rejected. d) The claim is false, and H0 is not rejected.
New road signs are made with the intention of improving visibility for drivers. Highway safety engineer’s setup a test course that included both the old and new signs. Volunteers drove the course and rated the old and new signs in terms of visibility. a) Write the null and alternative hypotheses in words using “improved visibility” and “not improved visibility”.b) Describe a Type I error in the context of the problem.c) Describe a Type II error in the context of the problem.
(e) Interpret the decision in the context of the original claim. Does it appear that peanut candies have weights that vary more than those of plain candies? O A. Since the null hypothesis is rejected, the weights appear to vary more for peanut candies. OC. Since the null hypothesis is not rejected, the weights appear to vary more for peanut candies. O B. Since the null hypothesis is not rejected, the weights do not appear to vary more for peanut candies. O D. Since the null hypothesis is rejected, the weights do not appear to vary more for peanut candies.

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Is Machine A performing within standards? O Yes O No O Evidence is lacking