The document contains a set of quantitative techniques and hypothesis testing questions as part of an assignment for a management studies degree. Here's a breakdown of the questions:

1. Question 1:

   • a) Hypothesis test for the claim that a software has reduced project completion time.
   • b) Hypothesis test to check if a new customer loyalty program increased repeat customers.
   • c) Brief descriptions of key hypothesis testing concepts (critical region, null hypothesis, alternative hypothesis).

2. Question 2:

   • a) Hypothesis test comparing average daily production output between two plants.
   • b) Hypothesis test comparing the proportion of customers making purchases between two stores.
   • c) Brief descriptions of test statistic and errors in hypothesis testing.

3. Question 3:

   • A chi-square test to assess whether the preference for employee benefit packages (health, retirement, vacation) is independent of department (Marketing, Finance, HR).

4. Question 4:

   • a) Scatter plot and analysis of relationship between customer interaction hours and sales revenue.
   • b) Calculation and interpretation of the correlation between these variables.
   • c) Calculation of regression equation and drawing the regression line.
   • d) Predicting sales revenue based on customer interaction hours.
   • e) Analysis of correlation coefficient values in a provided table.

If you need detailed explanations or solutions for any specific question, feel free to ask! Would you like assistance with one of these questions, such as working through the hypothesis tests or regression analysis?

Here are 5 related questions for deeper exploration:

1. How is a hypothesis test performed using a significance level of 5%?
2. What are the steps involved in calculating a chi-square statistic?
3. How do correlation and regression differ in data analysis?
4. What is the importance of the null and alternative hypotheses in testing?
5. What are Type I and Type II errors in hypothesis testing?

Tip: When working on hypothesis tests, always verify whether the test is one-tailed or two-tailed to correctly interpret the results.