MATH Asgn3
1
Asgn 3
Macao Polytechnic Institute
School of Business
Bachelor of Art in Public Relation Programme st 1 Semester, Year 2012/13
Math211521122, Assignment III
P1103808 Leong Lai Nga, Delia
Write down your full name and student ID on the first page. Handin your assignment on or before nd the day of 2 midterm. 1. Blood Glucose Level
. In the article "Drinking Glucose Improves Listening Span in Students
Who Miss Breakfast" (
Educational Research
, Vol. 43, No. 2, pp.201207), authors N. Morris and P. Sarll explore the relationship between students who skip breakfast and their performance on a number of cognitive tasks. According to their findings, blood glucose levels in the morning, after a 9hour fast, have a mean of 4.60 mmol / l with a standard deviation of 0.16 mmol / l . (Note: mmol / l is an abbreviation of millimoles/liter, which is the world standard unit for measuring glucose in blood). a . Determine the sampling distribution of the sample mean for samples of size 60. b .
Repeat
part (a) for samples of size 120. c . Must you assume that the blood glucose levels are normally distributed to answer parts (a) and (b)? Explain your answer.
Ans:
a
. Approximately normally distributed with mean 4.60 and standard deviation 0.021. b . Approximately normally distributed with mean 4.60 and standard deviation 0.015. c . No, because, in each case, the sample size exceeds 30.
2. Diamond Pricing
. In a Singapore edition of Business Times, diamond pricing was explored.
The price of a diamond is based on the diamond's weight, color, and clarity. A simple random sample of 18 onehalf carat diamonds had the following prices, in dollars.
1676
1442
1995
1718
1826
2071
1947
1983
1676
1995
1876
2032
1988
2071
2234
2108
1941
1995 a . Apply the tinterval procedure to these data to find a 90% confidence interval for the mean price of all onehalf carat diamonds. Interpret your
Asgn 3
Macao Polytechnic Institute
School of Business
Bachelor of Art in Public Relation Programme st 1 Semester, Year 2012/13
Math211521122, Assignment III
P1103808 Leong Lai Nga, Delia
Write down your full name and student ID on the first page. Handin your assignment on or before nd the day of 2 midterm. 1. Blood Glucose Level
. In the article "Drinking Glucose Improves Listening Span in Students
Who Miss Breakfast" (
Educational Research
, Vol. 43, No. 2, pp.201207), authors N. Morris and P. Sarll explore the relationship between students who skip breakfast and their performance on a number of cognitive tasks. According to their findings, blood glucose levels in the morning, after a 9hour fast, have a mean of 4.60 mmol / l with a standard deviation of 0.16 mmol / l . (Note: mmol / l is an abbreviation of millimoles/liter, which is the world standard unit for measuring glucose in blood). a . Determine the sampling distribution of the sample mean for samples of size 60. b .
Repeat
part (a) for samples of size 120. c . Must you assume that the blood glucose levels are normally distributed to answer parts (a) and (b)? Explain your answer.
Ans:
a
. Approximately normally distributed with mean 4.60 and standard deviation 0.021. b . Approximately normally distributed with mean 4.60 and standard deviation 0.015. c . No, because, in each case, the sample size exceeds 30.
2. Diamond Pricing
. In a Singapore edition of Business Times, diamond pricing was explored.
The price of a diamond is based on the diamond's weight, color, and clarity. A simple random sample of 18 onehalf carat diamonds had the following prices, in dollars.
1676
1442
1995
1718
1826
2071
1947
1983
1676
1995
1876
2032
1988
2071
2234
2108
1941
1995 a . Apply the tinterval procedure to these data to find a 90% confidence interval for the mean price of all onehalf carat diamonds. Interpret your