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A product marketing officer want to develop a new baby soap for the Philippine market. He wants his new product to complete with the current brand leader in the market, baby-O with current market share of 46%. To persuade consumer, he conducted a survey of 1000 mother's in metro manila and asked their preference for babby soap over other competitors. After three months of reporting the results, the new baby soap gained momentum in sales and reached 41% market share. In the marketing perspective, the marketing officer succeeded in promoting his new baby soap in the market. But his action is argued to be morally and academically wrong since he modified the results. Does the end justices the mean?

A producer of new corn seed guarantees that 85% of the seeds will germinate. A gardener plants 10 of the seeds. What is the probability that;

a) None will grow

b) Six will grow

c) At least nine will grow


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


Determine the standard error of the sample means

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.

 Gather a realistic set of data about 2 continuous variables which might be related to each other and test for their significant relationship using the 6 steps of Hypothesis Testing (with presentation and interpretation of results). You can show the regression line function IF there is a significant relationship. The required sample size is 30 or more.


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