why the use of calculators and/or computer programs is good or bad for students taking Business statistics?

They're bad unless the students understand the basic math behind their calculations and the computer programs. They're good if the students do understand the principles and concepts and use them as labor-saving devices.

Daily Gross Receipts. Suppose that the daily gross receipts from a certain sales unit maybe treated as a Normally distributed random variable with mean = $15,000 and standard deviation = $3,250. Use Table A for this problem.

(a) Find the proportion of such receipts on a certain day that are more than $13,750.

(i) Provide the z-score corresponding to the above statement

The use of calculators and/or computer programs can have both positive and negative implications for students taking Business statistics. Let's explore them:

1. Efficiency and Accuracy: Calculators and computer programs can significantly enhance students' efficiency and accuracy in performing calculations. For complex statistical calculations, these tools can save time and help produce accurate results, reducing the potential for human error.

2. Focus on Understanding Concepts: By automating calculations, students can focus more on understanding the underlying statistical concepts rather than getting bogged down in manual computations. This allows them to grasp the fundamental principles and apply them in real-world business scenarios.

3. Real-Time Analysis: With computer programs, students can analyze larger datasets in real-time, gaining valuable insights into various business scenarios. This enables them to make informed decisions based on statistical findings, which is crucial for analyzing market trends, customer behavior, and financial data.

4. Practical Relevance: The use of calculators and computer programs can bridge the gap between theoretical statistical concepts and real-world business applications. By working with tools that professionals use daily, students can develop the skills and adaptability needed in the business world.

However, there are also some drawbacks to consider:

1. Dependency: Overreliance on calculators or computer programs can make students dependent on these tools. This may hinder their ability to solve problems manually or understand statistical concepts without the support of technology. It's important for students to learn foundational skills before relying too heavily on these tools.

2. Misinterpretation: While calculators and computer programs provide quick results, students must still interpret and analyze the data themselves. Without a clear understanding of statistical principles, there is a risk of misinterpreting results or drawing incorrect conclusions.

3. Lack of Contextual Understanding: Relying solely on technology may lead to a lack of context or critical thinking. Students should be encouraged to understand the limitations and assumptions of the tools they're using and to consider the real-world implications of their findings.

To address the drawbacks, it's recommended that educators strike a balance between manual calculations and the use of calculators/computer programs. By integrating both approaches, students can gain a comprehensive understanding of statistical concepts while leveraging technology as a powerful tool.