1. The average number of milligrams (mg) of cholesterol in a cup of a certain brandof ice cream is 660 mg, the standard deviation is 35 mg. Assume the variable is normally distributed. a. If a cup of ice cream is selected, what is the probability that the cholesterol content will be more than 670 mg? D. If a sample of 10 cups of ice cream is selected, what is the probability thatthe mean of the sample will be larger than 670 mg? 2. In a study of the life expectancy of 400 people in a certain geographic region, the mean age at death was 70 years, and the standard deviation was 5.1 years. If a sample of 50 people from this region is selected, what is the probability that the mean life exnectancy will be less than 68 years?

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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PERFORMANCE TASK (MELC 19-21 ):
PROBLEM SOLVING
Direction: Solve the following problems involving sampling distribution of the sample mean
correctly and accurately
1. The average number of milligrams (mg) of cholesterol in a cup of a certain brandof
1ce cream is 660 mg, the standard deviation is 35 mg. Assume the variable is normally
distributed.
a. If a cup of ice cream is selected, what is the probability that the cholesterol
content will be more than 670 mg?
b. Ifa sample of 10 cups of ice cream is selected, what is the probability thatthe
mean of the sample will be larger than 670 mg?
2. In a study of the life expectancy of 400 people in a certain geographic region, the
mean age at death was 70 years, and the standard deviation was 5.1 years. If a sample
of 50 people from this region is selected, what is the probability that the mean life
expectancy will be less than 68 years?
3. The average cholesterol content of a certain canned goods is 215 milligrams, andthe
standard deviation is 15 milligrams. Assume that the variable is normally distributed.
If a sample of 25 canned goods is selected, what is the probability that the mean of
the sample will be greater than 220 milligrams?
4. The average public elementary school has 468 students with a standard deviationof 87. If a
random sample of 38 public elementary schools is selected, what is theprobability that the
number of students enrolled is between 445 and 485?
SIGNATURE OF PARENTS:
IGNATURE OF STUDENT
RUBRIC FOR PERFORMANCE TASK
12 POINTS
10 POINTS
8 POINT
6 POINT
Category
15 POINTS
The answer to
the problem is
correct but the
solution is not
detailed and
clear
Solved all the
The answer to
the problem is
almost correct
and solution is
detailed and
clear
Solved 3
The answer to
the problem is
not correct and
solution is not
detailed and
clear
Solved 2
The answer to
the problem is
not correct and
solution is not
The answer to
Accuracy of the problem is
correct and
solution is
detailed and
clear
Solved all the
Solution
present.
Completeness problems
completely
problems but 1 problem
is not
problems but
is not
Tried to solve
1 the problem
completely.
completed
completed.
Transcribed Image Text:PERFORMANCE TASK (MELC 19-21 ): PROBLEM SOLVING Direction: Solve the following problems involving sampling distribution of the sample mean correctly and accurately 1. The average number of milligrams (mg) of cholesterol in a cup of a certain brandof 1ce cream is 660 mg, the standard deviation is 35 mg. Assume the variable is normally distributed. a. If a cup of ice cream is selected, what is the probability that the cholesterol content will be more than 670 mg? b. Ifa sample of 10 cups of ice cream is selected, what is the probability thatthe mean of the sample will be larger than 670 mg? 2. In a study of the life expectancy of 400 people in a certain geographic region, the mean age at death was 70 years, and the standard deviation was 5.1 years. If a sample of 50 people from this region is selected, what is the probability that the mean life expectancy will be less than 68 years? 3. The average cholesterol content of a certain canned goods is 215 milligrams, andthe standard deviation is 15 milligrams. Assume that the variable is normally distributed. If a sample of 25 canned goods is selected, what is the probability that the mean of the sample will be greater than 220 milligrams? 4. The average public elementary school has 468 students with a standard deviationof 87. If a random sample of 38 public elementary schools is selected, what is theprobability that the number of students enrolled is between 445 and 485? SIGNATURE OF PARENTS: IGNATURE OF STUDENT RUBRIC FOR PERFORMANCE TASK 12 POINTS 10 POINTS 8 POINT 6 POINT Category 15 POINTS The answer to the problem is correct but the solution is not detailed and clear Solved all the The answer to the problem is almost correct and solution is detailed and clear Solved 3 The answer to the problem is not correct and solution is not detailed and clear Solved 2 The answer to the problem is not correct and solution is not The answer to Accuracy of the problem is correct and solution is detailed and clear Solved all the Solution present. Completeness problems completely problems but 1 problem is not problems but is not Tried to solve 1 the problem completely. completed completed.
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