ASSESSMENT: Present complete solutions for each item. 1. A population consists of six values (12, 14, 16, 18, 20, and 22). a. Select a random sample of size 3. Explain the random sampling that you used. b. How many possible samples can be drawn? b. List all possible samples and compute the mean of each sample.

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Chapter1: Combinatorial Analysis
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ASSESSMENT:
Present complete solutions for each item.
1. A population consists of six values (12, 14, 16, 18, 20, and 22).
a. Select a random sample of size 3. Explain the random sampling that you used.
b. How many possible samples can be drawn?
b. List all possible samples and compute the mean of each sample.
c. Construct a frequency distribution of the sample means obtained in step 2.
d. Determine the mean, variance and standard deviation of the sample mean.
2. The weights of the Grade 11 students are normally distributed with mean of 48 kgs and standard
deviation of 3 kgs. If a sample 25 students are drawn from the population, what would be the
expected mean and standard deviation of the resulting sampling distribution of the mean?
3. The body weight of 500 students in Grade 12 are approximately normally distributed with a mean
of 72.9 kilograms and standard deviation of 5 kilograms. If 100 students are randomly sampled:
a. determine the mean and standard error of the sampling distribution of the sample mean
b. find the probability that the sample mean falls between 71 and 73 kilograms
c. the number of sample means that is above 80 kilograms
Transcribed Image Text:ASSESSMENT: Present complete solutions for each item. 1. A population consists of six values (12, 14, 16, 18, 20, and 22). a. Select a random sample of size 3. Explain the random sampling that you used. b. How many possible samples can be drawn? b. List all possible samples and compute the mean of each sample. c. Construct a frequency distribution of the sample means obtained in step 2. d. Determine the mean, variance and standard deviation of the sample mean. 2. The weights of the Grade 11 students are normally distributed with mean of 48 kgs and standard deviation of 3 kgs. If a sample 25 students are drawn from the population, what would be the expected mean and standard deviation of the resulting sampling distribution of the mean? 3. The body weight of 500 students in Grade 12 are approximately normally distributed with a mean of 72.9 kilograms and standard deviation of 5 kilograms. If 100 students are randomly sampled: a. determine the mean and standard error of the sampling distribution of the sample mean b. find the probability that the sample mean falls between 71 and 73 kilograms c. the number of sample means that is above 80 kilograms
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