MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Question
You may need to use the appropriate technology to answer this question. A manager believes that the shelf life of apple juice is normally distributed. A sample of 30 containers of juice was taken and the shelf life was recorded. You are given the results below. The average shelf life in the sample was 23.067 days with a standard deviation of 4.315 days. 14 16 19 20 20 20 21 21 21 21 21 22 22 22 | 22 22 23 23 23 23 23 23 24 26 | 26 28 30 31 31 34 (a) State the null and alternative hypotheses. O Hn: The shelf life of apple juice is normally distributed. H: The shelf life of apple juice is not normally distributed. Hn: The shelf life of apple juice is uniformly distributed. H: The shelf life of apple juice is not uniformly distributed. Hn: The shelf life of apple juice is not uniformly distributed. H: The shelf life of apple juice is uniformly distributed. Hn: The shelf life of apple juice is not normally distributed. H: The shelf life of apple juice is normally distributed. (b) Compute the test statistic for the goodness of fit test. (Divide the distribution into 6 equal intervals.) (c) At the 5% level of significance using the p-value approach, test the hypotheses. What is the p-value? (Round your answer to four decimal places.) p-value = |Enter a number.
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Transcribed Image Text:You may need to use the appropriate technology to answer this question. A manager believes that the shelf life of apple juice is normally distributed. A sample of 30 containers of juice was taken and the shelf life was recorded. You are given the results below. The average shelf life in the sample was 23.067 days with a standard deviation of 4.315 days. 14 16 19 20 20 20 21 21 21 21 21 22 22 22 | 22 22 23 23 23 23 23 23 24 26 | 26 28 30 31 31 34 (a) State the null and alternative hypotheses. O Hn: The shelf life of apple juice is normally distributed. H: The shelf life of apple juice is not normally distributed. Hn: The shelf life of apple juice is uniformly distributed. H: The shelf life of apple juice is not uniformly distributed. Hn: The shelf life of apple juice is not uniformly distributed. H: The shelf life of apple juice is uniformly distributed. Hn: The shelf life of apple juice is not normally distributed. H: The shelf life of apple juice is normally distributed. (b) Compute the test statistic for the goodness of fit test. (Divide the distribution into 6 equal intervals.) (c) At the 5% level of significance using the p-value approach, test the hypotheses. What is the p-value? (Round your answer to four decimal places.) p-value = |Enter a number.
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