A survey was conducted that asked 1014 people how many books they had read in the past year. Results indicated that x = 14.4 books and s = 16 books. Construct a 90% confidence interval for the mean number of books people read. Interpret the interval. Click the icon to view the table of critical t-values. Construct a 90% confidence interval for the mean number of books people read and interpret the result. Select the correct choice below and fill in the answer boxes to complete your choice. (Use ascending order. Round to two decimal places as needed.) O A. If repeated samples are taken, 90% of them will have a sample mean between and O B. There is a 90% probability that the true mean number of books read is between 15.53 and 13.70 O C. There is 90% confidence that the population mean number of books read is between and
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
![**Section 9.2.30: Constructing a Confidence Interval**
A survey was conducted with 1014 participants to determine how many books they had read in the past year. The survey results yielded an average (\( \bar{x} \)) of 14.4 books with a standard deviation (s) of 16.6 books. Your task is to construct a 90% confidence interval for the mean number of books read by the population, and interpret this interval.
### Instructions
- Click the icon to view the table of critical t-values.
### Task
Construct a 90% confidence interval for the mean number of books read and interpret the result.
Select the correct choice below and complete the answer boxes provided.
*(Use ascending order and round to two decimal places as necessary.)*
**Options:**
- **A.** If repeated samples are taken, 90% of them will have a sample mean between [____] and [____].
- **B.** There is a 90% probability that the true mean number of books read is between **15.53** and **13.70**.
- **C.** There is 90% confidence that the population mean number of books read is between [____] and [____].
**Note**: The correct answer is option **B**, and the values in the boxes are **15.53** and **13.70**, which are incorrectly not in ascending order. Please correct this when inputting the values.
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This section helps to understand the concept and application of confidence intervals in statistics, allowing one to infer population parameters from sample statistics.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F356a6f32-18f6-49d8-bd62-3699154a1a44%2F9c65885e-966a-4d3a-b38e-f0c487e9a488%2Ft34ltju_processed.png&w=3840&q=75)
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