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if income increases or the price of a compliments falls

A principal at a certain school claims that the students in his school are above average intelligence. A random sample of thirty students IQ scores have a mean score of 112.5. Is there sufficient evidence to support the principal’s claim? The mean population IQ is 100 with a standard deviation of 15. Use 0.05 level of significance.

A sample of 16 g of tin(IV)oxide is mixed with 2.40 g of carbon and heated.

A reaction : SnO2 +2C = Sn+2CO

Show by calculation that the reagent is more than tin(IV)oxide! (AR values: Sn= 118.7, C= 12, O= 16)


  1. A researcher thinks that people under the age of twenty have vocabularies that are different than those of people over sixty years of age. Thus, to test this hypothesis, the researcher administers a vocabulary test to a group of 25 younger samples and 30 older samples. The mean score of the younger samples was 20.0 and the standard deviation of their score was 5.0. On the other hand, the mean score of the older samples was 14.0 and the standard deviation of their scores was 6.0. Does this experiment provide evidence for the investigator’s theory?
  2. The mean number of close friends for the population of people living in the city is 5.7. An investigator predicts that the mean number of close friends for introverts will be significantly less than the mean of the population. The mean number of close friends for a sample of 26 introverts is 6.5 with the standard deviation of 1.3. Are the given data support the investigator’s prediction?

An achievement research was conducted to the Grade 10 students of Scott National High School. The researcher randomly selected twenty (20) Grade 10 students to take a diagnostic exam in Mathematics at the start of the school year. The same students took the achievement exam in Mathematics at the end of the school year. The scores of each exam where calculated and the mean differences of the two exams is 2.05 with a standard deviation of 2.84. Find the t-value.



Built-Rite Corp is evaluating an extra dividend versus a share repurchase. In either case $20,000 would be spent. Current earnings are $6.0 per share, and the stock currently sells for $40 per share. There are 4,000 shares outstanding. Ignore taxes and other imperfections in answering parts (a) and (b).

a.  Evaluate the two alternatives in terms of the effect on the price per share of the stock and shareholder wealth. 

b.  What will be the effect on Built-Rite Corp’s EPS and PE ratio under the two different scenarios? 

c.  In the real world, which of these actions would you recommend? Why?  



if any customer wants to use her internet

banking facility, he must have to enter two different 8-bit pin codes one by one. Computer gets these two 8 bits

numbers, converts them into binary and performs addition on both of these numbers. If the result matches with the

code that is stored for this account, internet banking facility will be provided otherwise, the system will not allow the

use of internet banking.


Safawi kicked a ball with an initial speed of 20 ms-1 at 30o angle. If the ball experienced a constant vertical acceleration of -9.81 ms-2, calculate the ball’s maximum height and distance.


Is carbon soluble in any of these solvents?


  • Water
  • Hydrochloric acid
  • Sodium hydroxide
  • Oil
  • Chloroform

In the Oparin-Haldane experiment, an electrode was used to induce an electric spark into the apparatus, which converted certain gases into organic small molecules after they were circulated by steam generated by boiling water.





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