Question

5. Body mass index (BMI) is calculated by dividing a person’s weight by the square of their height. The BMI for middle aged men at risk for diabetes is approximately normal with a population mean = 24 kg/m2 and population standard deviation of 2.7 kg/m². A sample of 58 men are randomly selected from the population. The mean BMI from this sample is 25 kg/m². a. Construct a 95% confidence interval. (1 mark) b. Describe what your 95% confidence interval means. (1 mark) c. Identify a null and alternative hypothesis for a two-sided test. (1 mark) d. Calculate a z score for this data and depict the z score on a standard normal curve. You are welcome to draw the distribution on your computer or draw it by hand. Include the image in your word document. (2 marks) e. Using the standard normal chart in Module 03 Section 02, identify the area to the right for your z score. (1 mark) f. Based on your findings, would you accept or reject the null hypothesis with a significance level of ? = 0.05. (1 mark) g. Describe the two types of error you can make when you conduct a hypothesis test. (2 marks)

          5. Body mass index (BMI) is calculated by dividing a person’s weight by the square of their height. The BMI for middle aged men at risk for diabetes is approximately normal with a population mean = 24 kg/m2 and population standard deviation of 2.7 kg/m². A sample of 58 men are randomly selected from the population. The mean BMI from this sample is 25 kg/m².

a. Construct a 95% confidence interval. (1 mark)

b. Describe what your 95% confidence interval means. (1 mark)

c. Identify a null and alternative hypothesis for a two-sided test. (1 mark)

d. Calculate a z score for this data and depict the z score on a standard normal curve. You are welcome to draw the distribution on your computer or draw it by hand. Include the image in your word document. (2 marks)

e. Using the standard normal chart in Module 03 Section 02, identify the area to the right for your z score. (1 mark)

f. Based on your findings, would you accept or reject the null hypothesis with a significance level of ? = 0.05. (1 mark)

g. Describe the two types of error you can make when you conduct a hypothesis test. (2 marks)

5. Body mass index (BMI) is calculated by dividing a person’s weight by the square of their height. The BMI for middle aged men at risk for diabetes is approximately normal with a population mean = 24 kg/m2 and population standard deviation of 2.7 kg/m². A sample of 58 men are randomly selected from the population. The mean BMI from this sample is 25 kg/m².

a. Construct a 95% confidence interval. (1 mark)

b. Describe what your 95% confidence interval means. (1 mark)

c. Identify a null and alternative hypothesis for a two-sided test. (1 mark)

d. Calculate a z score for this data and depict the z score on a standard normal curve. You are welcome to draw the distribution on your computer or draw it by hand. Include the image in your word document. (2 marks)

e. Using the standard normal chart in Module 03 Section 02, identify the area to the right for your z score. (1 mark)

f. Based on your findings, would you accept or reject the null hypothesis with a significance level of ? = 0.05. (1 mark)

g. Describe the two types of error you can make when you conduct a hypothesis test. (2 marks)

Added by Magdalena R.

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