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1. A political campaign manager wishes to survey a number of voters to estimate



the proportion of those who are in favor of his candidate. If a previous survey



shows that 55% of registered voters plans to vote for his candidate, what is the



minimum sample size required to make his surveys accurate with a 95%



confidence level and a margin of error of 2.5%?

The mean height of the grade nine students at a certain high school is 164 centimeters and the

standard deviation is 10 centimeters. Assuming the heights are normally distributed, what

percent of the heights is greater than 168 centimeters?


Suppose a population consists the waistline of 5 students as follows: 32, 35, 37, 39, 41. If a sample of size 3 is to be taken from this population. Construct the sampling distribution of sample means, sample variances and sample standard deviations.

The following data are the heights of four students in centimeter; 110, 125, 120, and 130. Suppose sample size of 2 is to be taken from the population of four students. What will be the probability when the sample mean is 115?


An electrical company claims that an average life of bulbs it manufacturers is 1200 hours with a standard deviation of 250 hours. If a random sample of 100 bulbs is chosen, what is the probability of the sample mean will be:




a. Greater than 1150 hours?




b. Less than 1250 hours?




c. Betweem 1150 and 1250 hours?

5 10 15 20 25 30 35 40

illustrate the variance and standard deviation


Medical Literature tells us that our blood is mainly composed of red and white corpuscles and a normal human body average 7250/mm3 of white blood cell counts.If a sample of 15 individuals chosen at random from a certain place has an average of 4850/mm3 with a standard deviation of 2500/mm3, would you say that the people in that place have low white blood cell counts?


A.Formulate the null and alternative hypothesis in sentence and in symbol.


B.Determine what test statistics to use.


C.Compute the test statistics.


Medical literature tells us that our blood is mainly composed of red and white blood cells corpuscles and a normal human body must average 7250/mm3 of white blood cell counts.If a sample of 15 individuals chosen at random from a certain place has an average of 4850/mm3 with a standard deviation of 2500/mm3, would you say that the people in that place have low white blood cell counts?


A.Formulate the null and alternative hypothesis in sentence and in symbol.


B.Determine what test statistics to use.


C.Compute the test statistics.



. ACTIVITY 1. Use the ANOVA to show if there is significant difference among the sales of the three candidates for promotion.



Sales of three candidates for promotion.



A B C



12450 16500 12800



12100 13300 16500



11200 11400 18000



15000 12500 11900



13000 14600 28300



15400 14580 12200



11400 11200 19000



15100 15300 19000



15600 18000 55000




βˆ‘π΄ = βˆ‘π΄Β² =



βˆ‘π΅ = βˆ‘π΅Β² =



βˆ‘πΆ = βˆ‘πΆΒ²=




Scenario of null and alternative hypothesis