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Random samples with size 5 are drawn from the population containing the values 26, 32, 41, 50, 58, and 63.



Find the mean of the mean of the sample means

The Head of the Math Department announced that the mean score of Grade 11 students in St. James High School in the medterm examination in statistics and probability was 88 and the standard deviation was 10. One student who believed that the mean score was less than this, randomly selected 35 students and computed their mean score. She obtained a mean score of 84. At 0.01 level of significance, test the student’s belief.

Random samples with size 5 are drawn from the population containing the values 26, 32, 41, 50, 58, and 63.



Construct the distribution of the mean of all samples.

A box contains 6 red balls, 4 white balls and 5 blue balls. Determine the probability of chasing two red balls and 1 white ball if the balls are not replaced after being drawn using combination method


Random samples with size 5 are drawn from the population containing the values 26, 32, 41, 50, 58, and 63.


Determine the number of possible samples with size 5.

The following are the ages of 8 jeepney passengers in a waiting shed: 12, 15, 18, 19, 21, 23, 35, and 40. The sample with size 7 is chosen to ride in the current jeepney.



Determine the standard error of the sample standard deviations.

The following are the ages of 8 jeepney passengers in a waiting shed: 12, 15, 18, 19, 21, 23, 35, and 40. The sample with size 7 is chosen to ride in the current jeepney.



Find the mean of the sample standard deviations




The Head of the Math Department announced that the mean score of Grade 11 students in St. James High School in the medterm examination in statistics and probability was 88 and the standard deviation was 10. One student who believed that the mean score was less than this, randomly selected 35 students and computed their mean score. She obtained a mean score of 84. At 0.01 level of significance, test the student’s belief.

The following are the ages of 8 jeepney passengers in a waiting shed: 12, 15, 18, 19, 21, 23, 35, and 40. The sample with size 7 is chosen to ride in the current jeepney. Determine the number of possible samples with size 7

. A consignment of 12 electronic components contains 1 component that is faulty. Two components are chosen randomly from this consignment for testing.

a. How many different combinations of 2 components could be chosen?

b. What is the probability that the faulty component will be chosen for testing?


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