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IQs are designed to be N(100,225).


a. To join Mensa an IQ of 138 is required. What percentage of the population are


eligible to join?


b. A psychologist claims that any child with an IQ of 150+ is ‘gifted’. How many ‘gifted’ children would you expect to find in a school of 1800 pupils?

A random sample of n=90| kilograms of corn is obtained from a population with u =272 and sigma = 5543 . Describe the sampling distribution for the sample means by computing the mu hat x and sigma_{x} (Use the indefinite population)

The average height of students in a freshman class of a certain school has been 158.55 cm with a population standard deviation of 8.8 cm. Is there a reason to believe that there has been a change in the average height if a random sample of 51 students in the present freshman class has an average height of 154.25 cm? Use a 0.1 level of significance.





What are the given? Write only the number. :



population mean:Blank 1 cm



population standard deviation:Blank 2 cm



sample size:Blank 3



sample mean:Blank 4 cm



level of significance:Blank 5





What are the critical values? Write the positive critical value first then the negative.



z:Blank 6 andBlank 7





What is the value of the calculated z? Round your answer to the nearest hundredths.



z:Blank 8

At the center of a sphere of radius 0.5m a point charge of 2 nC is placed. What electric flux is passing through the sphere?


"It is claimed that a car is driven on the average less than 28700 kilometers per year with a population standard deviation of 2100 kilometers. To test this claim, a random sample of 58 car owners are asked to keep a record of the kilometers they travelled. Would you agree with this claim if the random sample showed an average of 22500 kilometers? Use a 0.01 level of significance.






What are the given? Write only the number. :




population mean:Blank 1 km




population standard deviation:Blank 2 km




sample size:Blank 3




sample mean:Blank 4 km




level of significance:Blank 5






What is the critical value?




z:Blank 6






What is the value of the calculated z? Round your answer to the nearest hundredths.




z:Blank 7"

The average height of students in a freshman class of a certain school has been 158.55 cm with a population standard deviation of 8.8 cm. Is there a reason to believe that there has been a change in the average height if a random sample of 51 students in the present freshman class has an average height of 154.25 cm? Use a 0.1 level of significance.






What are the given? Write only the number. :




population mean:Blank 1 cm




population standard deviation:Blank 2 cm




sample size:Blank 3




sample mean:Blank 4 cm




level of significance:Blank 5






What are the critical values? Write the positive critical value first then the negative.




z:Blank 6 andBlank 7






What is the value of the calculated z? Round your answer to the nearest hundredths.




z:Blank 8

a metal has a specific heat capacity of .899 Jg-1k-1 How much energy is required to raise the temperature of 2.00 Kg of the metal by 80 K


The equilibrium constant Kp for the oxidation of sulphur dioxide into sulphur trioxide is 5.6x10⁴ at 350°C . if the partial pressure of SO2 and SO3 are 0.64 atm and 0.58 atm respectively, what is the partial pressure of O2 in the system?




2SO2+ O2-> 2SO3

Lemuel bought bottles of food supplements at Php 1 800 each. He is planning to sell this at 15% markup on cost. At this selling price and a fixed cost of Php 40 000, how many bottles of food supplement must he sell to be able to breakeven? If he wants to earn a minimum of Php 100 000 by just selling these bottles, how many bottles must he sell?


Given the population 1,3,4,6 and 8. Suppose samples of size 3 are drawn from this population.

How many different samples can be drawn from this population?


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