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Activity: SAMPLING DISTRIBUTIONS OF THE SAMPLING MEANS A. Directions: Consider the given, then analyze and solve what is asked in each number. Given: A finite population of numbers has a size N = 4. The population consists of values 12, 14,16 and 18. 1. Determine the mean, standard deviation, and variance of the population. µ : 02 : Table 3.1 o : 2. Complete the details in Table 3.1 a. obtain a random sample of size n = 2 without replacement and make sure that all possible sample sets are listed b. compute the mean of each sample 3. Construct the sampling distribution of the sample means. 4. Compute the mean and standard deviation of the sampling distribution of the sample means. Use table 3.2 for nos. 3 to 4 No. Sample Sample Mean 'able 3.2 Sample Mean X p(X) (X) * p(X) (X – µx)2 * p(X) ox2 = ox = 5. Compare the mean, variance, and standard deviation of the sampling distribution of the sample means with the mean, variance, and standard deviation of the population. What generalization can be made?

Activity: SAMPLING DISTRIBUTIONS OF THE SAMPLING MEANS A. Directions: Consider the given, then analyze and solve what is asked in each number. Given: A finite population of numbers has a size N = 4. The population consists of values 12, 14,16 and 18. 1. Determine the mean, standard deviation, and variance of the population. µ : 02 : Table 3.1 o : 2. Complete the details in Table 3.1 a. obtain a random sample of size n = 2 without replacement and make sure that all possible sample sets are listed b. compute the mean of each sample 3. Construct the sampling distribution of the sample means. 4. Compute the mean and standard deviation of the sampling distribution of the sample means. Use table 3.2 for nos. 3 to 4 No. Sample Sample Mean 'able 3.2 Sample Mean X p(X) (X) * p(X) (X – µx)2 * p(X) ox2 = ox = 5. Compare the mean, variance, and standard deviation of the sampling distribution of the sample means with the mean, variance, and standard deviation of the population. What generalization can be made?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 18PPS
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Activity: SAMPLING DISTRIBUTIONS OF THE SAMPLING MEANS A. Directions: Consider the given, then analyze and solve what is asked in each number. Given: A finite population of numbers has a size N = 4. The population consists of values 12, 14,16 and 18. 1. Determine the mean, standard deviation, and variance of the population. µ : 0² : Table 3.1 : 2. Complete the details in Table 3.1 a. obtain a random sample of size n = 2 without replacement and make sure that all possible sample sets are listed b. compute the mean of each sample 3. Construct the sampling distribution of the sample means. 4. Compute the mean and standard deviation of the sampling distribution of the sample means. Use table 3.2 for nos. 3 to 4 No. Sample Sample Mean 'able 3.2 Sample Mean X p(X) (X) * p(X) (X – µx)2 * p(X) ox² = OX= 5. Compare the mean, variance, and standard deviation of the sampling distribution of the sample means with the mean, variance, and standard deviation of the population. What generalization can be made?
Transcribed Image Text:Activity: SAMPLING DISTRIBUTIONS OF THE SAMPLING MEANS A. Directions: Consider the given, then analyze and solve what is asked in each number. Given: A finite population of numbers has a size N = 4. The population consists of values 12, 14,16 and 18. 1. Determine the mean, standard deviation, and variance of the population. µ : 0² : Table 3.1 : 2. Complete the details in Table 3.1 a. obtain a random sample of size n = 2 without replacement and make sure that all possible sample sets are listed b. compute the mean of each sample 3. Construct the sampling distribution of the sample means. 4. Compute the mean and standard deviation of the sampling distribution of the sample means. Use table 3.2 for nos. 3 to 4 No. Sample Sample Mean 'able 3.2 Sample Mean X p(X) (X) * p(X) (X – µx)2 * p(X) ox² = OX= 5. Compare the mean, variance, and standard deviation of the sampling distribution of the sample means with the mean, variance, and standard deviation of the population. What generalization can be made?
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