Hi, I would appreciate if you could help me with these questions please.Thank you so much in advance. ### Statistical Questions and Answers#### NASA's Sample Size RequirementNASA is interested in the true proportion of children who are interested in becoming astronauts. At a 90% confidence level, what is the minimum sample size they need such that the population proportion is within 2.7% of the estimated proportion?- a. 928- b. 928- c. 927- d. None of the other choices#### Confidence Interval for Pomelo WeightThe weight of a pomelo is normally distributed. A consumer is interested in the average weight of pomelos. In a random sample of twelve pomelos, the average weight is determined to be 1301 g with a standard deviation of 168 g. Construct a 99% confidence interval for the population mean weight.- a. (1257.5160, 1344.4840)- b. (1150.3670, 1451.6330)- c. (1152.8404, 1449.1596)- d. (1176.0706, 1425.9294)#### Confidence Interval ChangesA 95% confidence interval for $ p_1 - p_2 $ is calculated to be (0.1823, 0.3001). If the level of confidence is now decreased to 90%, what happens to the confidence interval?- a. Unknown- b. It increases in size- c. It decreases in size- d. It remains the same#### Correlation InterpretationFor the variables X and Y, if the slope of the LS regression line is negative, what does this imply about the correlation?- a. None of the other choices- b. The correlation is positive- c. The correlation is zero- d. The correlation is negative ### Educational Resource: Statistics and Python Programming**1. A confidence interval for $ \mu $ is centered on** - a. None of the other choices - b. $ \bar{x} $ - c. $ \mu $ - d. $ z $**2. Which of the following is not a robust statistic?** - a. median - b. None of the other choices - c. interquartile range - d. mean**3. In Python, which of the following functions returns the range for a data array?** - a. ptp in the numpy module - b. range in the numpy module - c. All of the other choices - d. std in the numpy module**4. In Python, a documentation string** - a. Is surrounded by two sets of double quotes - b. Changes the execution of a function - c. None of the other choices - d. Assigns the function to the following block of statements#### Explanation of Diagram/Graph: There are no diagrams or graphs included in this educational resource to explain thoroughly. The provided text consists solely of multiple-choice questions related to statistics and Python programming.

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Description: Hi, I would appreciate if you could help me with these questions please.Thank you so much in advance. ### Statistical Questions and Answers#### NASA's Sample Size RequirementNASA is interested in the true proportion of children who are interested in

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NASA is interested in the true proportion of children who are interested in becoming astronauts. At a 90% confidence level, what is the minimum sample size they need such that the population proportion is within 2.7% of the estimated proportion? a. 928 ь. 928 c. 927 d. None of the other choices

NASA is interested in the true proportion of children who are interested in becoming astronauts. At a 90% confidence level, what is the minimum sample size they need such that the population proportion is within 2.7% of the estimated proportion? a. 928 ь. 928 c. 927 d. None of the other choices

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.

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Hi, I would appreciate if you could help me with these questions please.

Thank you so much in advance.

### Statistical Questions and Answers

#### NASA's Sample Size Requirement
NASA is interested in the true proportion of children who are interested in becoming astronauts. At a 90% confidence level, what is the minimum sample size they need such that the population proportion is within 2.7% of the estimated proportion?

- a. 928
- b. 928
- c. 927
- d. None of the other choices

#### Confidence Interval for Pomelo Weight
The weight of a pomelo is normally distributed. A consumer is interested in the average weight of pomelos. In a random sample of twelve pomelos, the average weight is determined to be 1301 g with a standard deviation of 168 g. Construct a 99% confidence interval for the population mean weight.

- a. (1257.5160, 1344.4840)
- b. (1150.3670, 1451.6330)
- c. (1152.8404, 1449.1596)
- d. (1176.0706, 1425.9294)

#### Confidence Interval Changes
A 95% confidence interval for $ p_1 - p_2 $ is calculated to be (0.1823, 0.3001). If the level of confidence is now decreased to 90%, what happens to the confidence interval?

- a. Unknown
- b. It increases in size
- c. It decreases in size
- d. It remains the same

#### Correlation Interpretation
For the variables X and Y, if the slope of the LS regression line is negative, what does this imply about the correlation?

- a. None of the other choices
- b. The correlation is positive
- c. The correlation is zero
- d. The correlation is negative

### Educational Resource: Statistics and Python Programming

**1. A confidence interval for $ \mu $ is centered on**
- a. None of the other choices
- b. $ \bar{x} $
- c. $ \mu $
- d. $ z $

**2. Which of the following is not a robust statistic?**
- a. median
- b. None of the other choices
- c. interquartile range
- d. mean

**3. In Python, which of the following functions returns the range for a data array?**
- a. ptp in the numpy module
- b. range in the numpy module
- c. All of the other choices
- d. std in the numpy module

**4. In Python, a documentation string**
- a. Is surrounded by two sets of double quotes
- b. Changes the execution of a function
- c. None of the other choices
- d. Assigns the function to the following block of statements

#### Explanation of Diagram/Graph:
There are no diagrams or graphs included in this educational resource to explain thoroughly. The provided text consists solely of multiple-choice questions related to statistics and Python programming.

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