### Statistical Hypothesis Testing Example#### Problem StatementA local sandwich shop claims to put 6 ounces of meat on each sandwich they make. You take a random sample of 19 sandwiches and find that the average amount of meat is 5.6 ounces, with a sample standard deviation of 1.3 ounces. Can we say that the amount of meat on the sandwiches is significantly lower than the shop's claim? (Use α = .10)#### Required Information:- **Type of Test:** - **Null Hypothesis (H₀):**- **Alternate Hypothesis (H₁):**- **Standard Error (SE):**- **Test Statistic:**- **P-value:**- **Decision:**- **Conclusion Sentence:**### ExplanationTo determine whether the sandwich shop's claim is valid or the amount of meat is significantly lower, we will conduct a hypothesis test. Here is the step-by-step process:1. **Type of Test:** We will use a one-sample t-test because the sample size is small (n < 30), and we do not know the population standard deviation.2. **Null Hypothesis (H₀):** The null hypothesis states that the true mean amount of meat is 6 ounces. \[ H₀: \mu = 6 \]3. **Alternate Hypothesis (H₁):** The alternate hypothesis states that the true mean amount of meat is less than 6 ounces. \[ H₁: \mu < 6 \]4. **Standard Error (SE):** The standard error of the mean can be calculated using the formula: \[ SE = \frac{s}{\sqrt{n}} \] where \( s \) is the sample standard deviation and \( n \) is the sample size. \[ SE = \frac{1.3}{\sqrt{19}} \]5. **Test Statistic:** The test statistic for a one-sample t-test is calculated as: \[ t = \frac{\bar{x} - \mu}{SE} \] where \( \bar{x} \) is the sample mean. \[ t = \frac{5.6 - 6}{SE} \]6. **P-value:** Using the t-distribution table (or a statistical software), we compare the calculated t

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Description: ### Statistical Hypothesis Testing Example#### Problem StatementA local sandwich shop claims to put 6 ounces of meat on each sandwich they make. You take a random sample of 19 sandwiches and find that the average amount of meat is 5.6 ounces, with a

Denote μ as the true average amount of meat on each sandwich.

Math

Statistics

1. A local sandwich shop claims to put 6 ounces of meat on each sandwich the You take a random sample of 19 sandwiches, and find that the average amount of meat is 5.6 ounces, with a sample standard deviation of 1.3 ounces. Can we say that the amount of meat on the sandwiches is significantly lower than the shop's claim? (Use a = .10) %3D Type of Test: Null Hypothesis: Alternate Hypothesis: SE: Test Statistic: P-value: Decision:

1. A local sandwich shop claims to put 6 ounces of meat on each sandwich the You take a random sample of 19 sandwiches, and find that the average amount of meat is 5.6 ounces, with a sample standard deviation of 1.3 ounces. Can we say that the amount of meat on the sandwiches is significantly lower than the shop's claim? (Use a = .10) %3D Type of Test: Null Hypothesis: Alternate Hypothesis: SE: Test Statistic: P-value: Decision:

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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