BM3034 - Concepts On The Continuous Probability Distribution Case Study - Business Statistics Assignment Help

Assignment Task 

Learning Outcomes

After the completion of this assignment, learners will be able to: 

• Solve problems using concepts on the continuous probability distribution.

• Select a representative sample when conducting a business survey  research by applying theories of the sampling distribution of the sample  means. 

• Perform inferential statistics on real-life data using statistical estimation and  hypothesis testing techniques.

Continuous Probability Distribution :

a) According to a director of a hospital, the body temperature of an adult is normally distributed with a mean of 36.9°C and a standard deviation  of 0.5°C. 

(b) Based on the research by a marketing manager of a weight loss  programme, the weight of female individuals aged 30-40 is normally  distributed with a mean 55 kg and a standard deviation of 14 kg. 

(c) According to a sport & wellness professional, the BMI of a male  teenager aged 20-30 is normally distributed with a mean of 22.2 kg/m2 and a standard deviation of 1.7 kg/m2

Sampling Distribution of the Sample Means :

(a) How do the concepts and theorem(s) in the topic “Sampling  Distribution of the Sample Means” influence your decision in choosing  an appropriate (or minimum) sample size for the survey? 

(b) Is a bigger sample better for the survey? Discuss the benefits of  having a bigger sample for the survey with reference to the standard  error. Any possible costs associated with a bigger sample selected?  How do you decide on the sample size for your survey?

(c) Besides the knowledge gained in the topic, suggest any three (3)  measures that you can undertake to obtain good feedback from your  respondents when conducting the survey. Be as innovative as  possible and provide reasons and elaborations to support your  suggestions

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