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IV. Determine the type of error being illustrated in each item



Real Life Situation



Type of Error



Michael knows that it is wrong to cheat but he was caught



cheating in his Math exam in order to pass.



Sheena knows that it is wrong not to return excess change given



by the cashier and still did not reium the excess money,



Maxine knows that in order to pass she needs to study hard but



she did not review for the Third Quarter Examination



Ana witnessed a physical abuse and she knows that it should



be reported but she did not report it to the authorities



Kim knows that it is wrong to smoke cigarette but he keeps



on smoking

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

"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 company has recognized the importance of advertisement in promoting sales. The following data show its monthly sales both before and after advertisement. The period for comparison is taken from January to December in two successive years. Can it be concluded that the advertisement of the company has resulted in a significant increase in its sales?


Month Sales before advertisement Sales after the the advertisement January 21 24

February 15 18

March 31 43

April 21 32

May 48 50

June 50 61

July 54 53

August 68 72

September 46 51

October 70 76

November 65 72

December 53 59


Mean (paired differences) = 5.75 and SD (paired differences) = 3.58  


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?



A fair spinner has 9 equal sections: 3 red, 2 blue and 4 green.

It is spun twice.

What is the probability of not getting two consecutive blues?



The rate of increase of the population of bateria in a culture is proportional to the number of bacteria at any given instant. Assume the initial count of bacteria is 1000 and after 1 hour the amount is 1200. Find (i) the number of bacteria present immediately after 5 hours. (iii) the time lapse before the number reaches 4000


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