O What are the null hypothesis H, and the alternative hypothesis H, that should be used for the test? Ho :0 H :0 O Suppose that the scientist decides not to reject the null hypothesis. What sort of error might she be making? (Choose one) O Suppose the true mean birth weight of babies born at full term is 7,4 pounds. Fill in the blanks to describe a Type I error. A Type I error would be (Choose one) v the hypothesis that u is (Choose one) V (Choose one) ▼ when, in fact, is (Choose one)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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**Educational Website Text:**

A scientist has read that the mean birth weight of babies born at full term is 7.4 pounds. The scientist has good reason to believe that the mean birth weight of babies born at full term, denoted as μ, is different from this value and plans to perform a statistical test. She selects a random sample of birth weights of babies born at full term and finds the mean of the sample to be 7.8 pounds and the standard deviation to be 1.8 pounds.

Based on this information, complete the parts below:

**(a) What are the null hypothesis \( H_0 \) and the alternative hypothesis \( H_1 \) that should be used for the test?**

- \( H_0: \) [   ]
- \( H_1: \) [   ]

**(b) Suppose that the scientist decides not to reject the null hypothesis. What sort of error might she be making?**

- [Choose one]

**(c) Suppose the true mean birth weight of babies born at full term is 7.4 pounds. Fill in the blanks to describe a Type I error:**

"A Type I error would be (Choose one) the hypothesis that \( μ \) is (Choose one) (Choose one) when, in fact, \( μ \) is (Choose one)."

**Explanation of Diagrams:**

There are no graphs or diagrams present in the image. The image contains text fields and multiple-choice options which are meant to guide the learner through filling in hypotheses and understanding statistical errors.
Transcribed Image Text:**Educational Website Text:** A scientist has read that the mean birth weight of babies born at full term is 7.4 pounds. The scientist has good reason to believe that the mean birth weight of babies born at full term, denoted as μ, is different from this value and plans to perform a statistical test. She selects a random sample of birth weights of babies born at full term and finds the mean of the sample to be 7.8 pounds and the standard deviation to be 1.8 pounds. Based on this information, complete the parts below: **(a) What are the null hypothesis \( H_0 \) and the alternative hypothesis \( H_1 \) that should be used for the test?** - \( H_0: \) [ ] - \( H_1: \) [ ] **(b) Suppose that the scientist decides not to reject the null hypothesis. What sort of error might she be making?** - [Choose one] **(c) Suppose the true mean birth weight of babies born at full term is 7.4 pounds. Fill in the blanks to describe a Type I error:** "A Type I error would be (Choose one) the hypothesis that \( μ \) is (Choose one) (Choose one) when, in fact, \( μ \) is (Choose one)." **Explanation of Diagrams:** There are no graphs or diagrams present in the image. The image contains text fields and multiple-choice options which are meant to guide the learner through filling in hypotheses and understanding statistical errors.
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