This problem is fill in the blank. Just choose the correct answers. Thank you for your help A scientist has read that the mean birth weight, μ, of babies born at full term is 7.2 pounds. The scientist, believing that μ is less than this value, 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 6.9 pounds and the standard deviation to be 1.7 pounds. Based on this information, answer the questions below. 1. What are the null hypothesis (H0) and the alternative hypothesis (H1) that should be used for the test? H0: (choose one) less than, less than or equal to, greater than, greater than or equal to, equal to, or not equal to. (choose one) 6.9 pounds, 7.2 pounds, or 1.7 pounds. H1: (Choose one) less than, less than or equal to, greater than, greater than or equal to, equal to, or not equal to. (Choose one) 6.9 pounds, 7.2 pounds, or 1.7 pounds. 2. In the context of this test, what is a Type II error? A type II error is (choose one) rejecting or failing to reject the hypothesis the μ is (choose one) less than, less than or equal to, greater than, greater than or equal to, equal to, or not equal to (Choose one) 6.9 pounds, 7.2 pounds, or 1.7 pounds , when, in fact, μ is (choose one) less than, less than or equal to, greater than, greater than or equal to, equal to, or not equal to (Choose one) 6.9 pounds, 7.2 pounds, or 1.7 pounds. 3. Suppose that we decide to reject the null hypothesis. What sort of error might we be making? (Choose one) Type I or Type II
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
This problem is fill in the blank. Just choose the correct answers. Thank you for your help
A scientist has read that the mean birth weight, μ, of babies born at full term is
7.2 pounds. The scientist, believing that μ is less than this value, 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 6.9 pounds and the standard deviation to be 1.7 pounds.
Based on this information, answer the questions below.
1. What are the null hypothesis (H0) and the alternative hypothesis (H1) that should be used for the test?
H0: (choose one) less than, less than or equal to, greater than, greater than or equal to, equal to, or not equal to.
(choose one) 6.9 pounds, 7.2 pounds, or 1.7 pounds.
H1: (Choose one) less than, less than or equal to, greater than, greater than or equal to, equal to, or not equal to.
(Choose one) 6.9 pounds, 7.2 pounds, or 1.7 pounds.
2. In the context of this test, what is a Type II error?
A type II error is
(choose one) rejecting or failing to reject the hypothesis the μ is
(choose one) less than, less than or equal to, greater than, greater than or equal to, equal to, or not equal to
(Choose one) 6.9 pounds, 7.2 pounds, or 1.7 pounds , when, in fact, μ is
(choose one) less than, less than or equal to, greater than, greater than or equal to, equal to, or not equal to
(Choose one) 6.9 pounds, 7.2 pounds, or 1.7 pounds.
3. Suppose that we decide to reject the null hypothesis. What sort of error might we be making? (Choose one) Type I or Type II
![**Title: Confidence Intervals and Hypothesis Testing – Type I and Type II Errors**
A scientist has read that the mean birth weight, \(\mu\), of babies born at full term is 7.2 pounds. The scientist, believing that \(\mu\) is less than this value, 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 6.9 pounds and the standard deviation to be 1.7 pounds.
Based on this information, answer the questions below.
**Questions:**
1. **What are the null hypothesis \((H_0)\) and the alternative hypothesis \((H_1)\) that should be used for the test?**
- \(H_0: \mu \text{ is } [Choose Option]\)
- \(H_1: \mu \text{ is } [Choose Option]\)
2. **In the context of this test, what is a Type II error?**
- A Type II error is [Select Option] the hypothesis that \(\mu \text{ is } [Select Option]\) when, in fact, \(\mu \text{ is } [Select Option]\).
3. **Suppose that the scientist decides to reject the null hypothesis. What sort of error might she be making?**
- [Select Option]
*Note: The options involve selecting between various statistical choices to define hypotheses and errors.*](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F47b2bee5-ed6c-465f-be96-7d5f993043eb%2F0df3cf03-d3a4-4e9d-ad96-e5f81cf27f68%2Fg159jlb_processed.png&w=3840&q=75)
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