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A. Find point estimate of the population parameter p. and the standard


deviation for each of the following sets of data,


2. Lengths of the plants in a box in cm


8 12.2 13.1 14.1 15 8 11.1 11


6.5 12.1 10 14.2 6 9 12.3 12


7 10.1 19.1 15.6 11 10 14.2 13


5.5 9.1 12 17.8 9.2 12.1 15 15.2


7 3.4 15 19.1 10.4 11 21.1 12.1

A. Find point estimate of the population parameter p. and the standard


deviation for each of the following sets of data,


1. Scores in Midterm Test in Philosophy


45 50 4 18 23 23 12 54


15 55 58 18 22 56 23 12


25 45 56 16 45 45 56 23


25 24 60 17 60 43 55 24


26 10 14 25 12 21 44 25



supposed 3 cons are tossed once, let Y be the random variable representing the number of heads. contruct the probability distribution and the histogram


Exercise 2. Suppose a researcher wants to estimate the mean weight of all Karate players in a tournament. He took a random sample of 30 volleybal players and ther height (in centimeters). Their weight was recorded as follows: 55 45 45 55 60 59 57 66 80 70 64 65 67 65 65 65 82 73 50 55 75 66 77 65 82 71 65 52 75 What is the mean height of the 30 volleyball players in the collegiate tournament?​

Exercise 1. Shown below are the weights of the packed ground pork in kilograms


(kg). Find the point estimate of the population of the population parameter.


350 346 350 346 350 348 351 351



340 347 344 340 340 340 345 347



355 348 351 355 347 352 356 352



347 348 347 347 347 347 346 347



348 351 347 348 348 348 348 349



348 349 348 348 349 348 347 349



349 349 349 349 349 348 346 349

It is claimed that the average weight of babies at birth is 3.4 kg. The average weight of a random sample of 30 newly born babies was determined. It was found out that the average weight was 3.1 kg. Is there a reason to believe that the average weight of babies at birth is not 3.4 kg? Assume that the population standard deviation is 1.1 kg. Use 0.05 level of significance. 


Suppose a population consists of the values 6, 7, 8 and 9 and the sample size two are drawn from this population.

a. List all possible sample size two, with replacement, and compute the sample mean in each case.

b. Construct the sampling distribution of the sample mean.

c. Construct the probability histogram of the sampling distribution of the sample mean.


random variable X has this probability distribution:


x 0 1 2 3 4 5


P(X=x) 0.1 0.2 0.05 0.1 ? 0.3


Find f(4)



Draw the full decision tree for the parity function of four Boolean attributes,

A, B, C, and D. Is it possible to simplify the tree?


2. A random variable X has this probability distribution:



x 0 1 2 3 4 5



P(X=x) 0.1 ? 0.05 0.1 0.03 0.3




Find f(2)