The population of Senior High School learners in XYZ Integrated School has a mean of 54.5 and a standard deviation of 8.6. Ïf a sample of size 12 is taken at random from this population, which of the following statements is correct?

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The population of Senior High School learners in XYZ Integrated
School has a mean of 54.5 and a standard deviation of 8.6. Íf a sample
of size 12 is taken at random from this population, which of the
following statements is correct?
A. The mean of the sampling distribution of the sample mean is
equal to 54.5.
B. The mean of the sampling distribution of the sample mean is
less than 54.5
C. The standard deviation of the sampling distribution of the
sampling mean is 8.6.
D. The standard deviation of the sampling distribution of the
sampling mean is 54.5.
Nine hundred thirty-two businessmen accepted the Mayaman
Challenge of one of the Philanthropic Filipinos who are willing to give
relief goods for our fellow Filipinos affected by the recent pandemic.
They will be contributing an average of 135 sacks of rice with a
standard deviation of 15 sacks of rice.
What is the probability that the businessman will contribute more
than 150 sacks of rice?
A. 15.87%
B. 76.45%
C. 80.78%
D. 84.13%
Transcribed Image Text:The population of Senior High School learners in XYZ Integrated School has a mean of 54.5 and a standard deviation of 8.6. Íf a sample of size 12 is taken at random from this population, which of the following statements is correct? A. The mean of the sampling distribution of the sample mean is equal to 54.5. B. The mean of the sampling distribution of the sample mean is less than 54.5 C. The standard deviation of the sampling distribution of the sampling mean is 8.6. D. The standard deviation of the sampling distribution of the sampling mean is 54.5. Nine hundred thirty-two businessmen accepted the Mayaman Challenge of one of the Philanthropic Filipinos who are willing to give relief goods for our fellow Filipinos affected by the recent pandemic. They will be contributing an average of 135 sacks of rice with a standard deviation of 15 sacks of rice. What is the probability that the businessman will contribute more than 150 sacks of rice? A. 15.87% B. 76.45% C. 80.78% D. 84.13%
How can you describe this graph?
A. The shaded region of the nrmal curve s below the z = 1
B. The shaded region of the normal curve is above the z=-1
C. The shaded region of the normal curve is between z=0 & z=1
D. The shaded region of the normal curve is between z=-1& z=1
Nine hundred thirty-two businessmen accepted the Mayaman
Challenge of one of the Philanthropic Filipinos who are willing to give
relief goods for our fellow Filipinos affected by the recent pandemic.
They will be contributing an average of 135 sacks of rice with a
standard deviation of 15 sacks of rice.
How many businessmen will contribute a sack of rice between 105
sacks to 145 sacks?
A. 534
B.653
C. 676
D. 726
Transcribed Image Text:How can you describe this graph? A. The shaded region of the nrmal curve s below the z = 1 B. The shaded region of the normal curve is above the z=-1 C. The shaded region of the normal curve is between z=0 & z=1 D. The shaded region of the normal curve is between z=-1& z=1 Nine hundred thirty-two businessmen accepted the Mayaman Challenge of one of the Philanthropic Filipinos who are willing to give relief goods for our fellow Filipinos affected by the recent pandemic. They will be contributing an average of 135 sacks of rice with a standard deviation of 15 sacks of rice. How many businessmen will contribute a sack of rice between 105 sacks to 145 sacks? A. 534 B.653 C. 676 D. 726
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