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500 children participated in a field demonstration. Their heights averaged is 110 cm with a standard deviation of 6 cm. What is the probability that a child, picked at random has a height greater than 120 cm?


Given 90th percentile, sample size n=10. Find the following

A. a

B. t-value

C. df


Random sample of size N = 2 are drawn from a finite population consisting of the numbers 1, 3, 8, 9.




Find the following:




31 35. Mean, Variance and Standard deviation of the Population.




36-40. Mean, Variance and Standard deviation of the Sample means


Suppose that in a day, the probability of a car agent’'s not closing any deal is 0.35. on the other hand, the probability that he/she can close one deal is 0.3; two deals, 0.25; and three deals, 0.1. find the agent’s expected number of closed deals in a day and determine the variance and standard deviation.


Rowena wants to test a randomly selected 20 students for her study. Identify the t value of the following percentiles.



1. 75th percentile


2.90th percentile


3. 60th percentile.


4. 99th percentile


5.50th percentile

Complete the table below by identifying the degree of freedom, right-tailed area and the t-value for each percentiles and the sample size.



Percentile. n. df. Righttailed t.


1. 60th percentile. 2. area.


2. 75th percentile. 5


3. 25th percentile. 15


4. 90th percentile. 7


5. 95th percentile. 20











A division wide aptitude test in mathematics was conducted to 3000 pupils. The mean of the test is 55 and the standard deviation is 17. The scores also approximate the normal distribution

A sample of 100 Grade 9 students’ ages was obtained to estimate the mean age of all Grade 9 students. =16 years and the population variance is 16.1.) What is the point estimate for ?



2.) Find the 95% confidence interval for .



3.) Find the 99% confidence interval for .



4.) What conclusions can you make based on each estimate?



Random sample of size N = 2 are drawn from a finite population consisting of


the numbers 1, 3, 8, 9.


Find the following:


Mean, Variance and Standard deviation of the Population.


Mean, Variance and Standard deviation of the Sample means.

Draw all the possible samples of 2 without replacement from a population consisting of 4, 9, 12, 15, 20. Contruct the sampling distribution of sample mean and verify