The accompanying table contains data on the weight, in grams, of a sample of 50 tea bags produced during an eight-hour shift. Complete parts (a) through (d).### a. Hypothesis Testing**Is there evidence that the mean amount of tea per bag is different from 5.5 grams?** (Use α = 0.05.)- **Null and Alternative Hypotheses:** - $ H_0 : \mu = $ [5.5] - $ H_1 : \mu \neq $ [Enter the value]*Type integers or decimals.*- **Determine the Test Statistic:** - The test statistic is [Enter value]. - *(Round to two decimal places as needed.)*- **Find the p-value:** - p-value = [Enter value] - *(Round to three decimal places as needed.)*- **State the Conclusion:** - There is [Enter level] evidence to conclude that the mean difference is not equal to 5.5 grams.### b. Confidence Interval**Construct a 95% confidence interval estimate of the population mean amount of tea per bag. Interpret this interval.**- **95% Confidence Interval:** - The 95% confidence interval is $ [ \text{lower limit} ] \leq \mu \leq [ \text{upper limit} ] $. - *(Round to four decimal places as needed.)***Interpret the 95% confidence interval. Choose the correct answer below.**### Table Description**Tea Bag Weight (in grams):**- The table included values such as: - 5.64, 5.42, 5.42, 5.39, 5.52 - 5.55, 5.39, 5.51, 5.53, 5.44 - 5.45, 5.39, 5.61, 5.53, 5.54 - 5.79, 5.57, 5.43, 5.59, 5.59 - 5.62, 5.45, 5.44, 5.26, 5.54, 5.64, 5.53, 5.55, 5.54, 5.47,

Answered: The accompanying table contains data on…

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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The accompanying table contains data on the weight, in grams, of a sample of 50 tea bags produced during an eight-hour shift. Complete parts (a) through (d). E Click the icon to view the data table. a. Is there evidence that the mean amount of tea per bag is different from 5.5 grams? (Use a = 0.05.) State the null and alternative hypotheses. More Info Ho: H = 5.5 H,:p # 5.5 (Type integers or decimals.) Tea Bag Weight (in grams) 5.32 Determine the test statistic. 5.66 5.46 5.42 5.41 5.53 5.53 5.47 5.53 5.43 5.58 5.42 5.54 5.54 5.56 5.52 5.56 5.61 5.56 5.47 5.42 5.52 5.47 5.41 5.47 5.62 5.58 The test statistic is 5.32 5.67 5.48 5.55 5.27 5.54 (Round to two decimal places as needed.) 5.77 5.58 5.43 5.48 5.33 5.49 5.58 5.61 5.46 5.43 5.24 5.55 5.62 5.49 5.56 5.67 5.37 Print Done
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