PROBLEM SOLVING: Solve the following problems. Show all pertinent solutions.

1.A car battery dealer is trying to determine which of the brands of car battery he is selling has a longer life span. He conducted an investigation by interview his customers and was able to get the following results: Brand X Brand Y Mean life span 4.5 years 4.9 years Standard deviation 0.56 year 0.45 year Sample size 10 12

If you were the car dealer, could you conclude that brand Y is superior to Brand X? Use 5% level of significance.

2.A die was rolled 210 times. The results are shown below.

Based on the data, can we say that teaching efficiency is related to educational background? Use 5% level of significance.

5.The average typing speed of a good typist is said to be 60 words per minute. In a certain company, 45 applicants were given a typing test and the results showed a mean of 55 words per minute with a standard deviation of 10 minutes. Based on these results, can we say that the typing speed of the 45 applicants is below the average? Use α = 0.03.

6.A lot contains 20 electric bulbs, 5 of which are defective. In how many ways can 4 bulbs be taken for inspection such that: (a) no defective electric bulb is included? (b) 2 of the defective bulbs...

...1. Indicate whether each of the following is a constant or a variable (5 points)
a. Resting pulse rate – Variable
b. Number of bits in a terabyte – Constant
c. Peso equivalent to a Swiss Franc – Variable
d. Number of inches in a mile – Constant
e. Number of neutrons in a carbon atom – Constant
2. Indicate whether the following variables are quantitative or qualitative and specify the scale of measurement. (10 points)
a. Admitting diagnosis of patients...

...Trajico, Maria Liticia D.
BSEd III-A2
REFLECTION
The first thing that puffs in my mind when I heard the word STATISTIC is that it was a very hard subject because it is another branch of mathematics that will make my head or brain bleed of thinking of how I will handle it. I have learned that statistic is a branch of mathematics concerned with the study of information that is expressed in numbers, for example information about the number of times...

...Me1
ProblemSet #2
The US College Enrollment and the “Third Law of Demand”
A theorem proposed by Professors Alchian and Allen in their text, University Economics (1964) has had several rebirths of interest in the literature. The so-called “third law of demand,” or “relative price theorem,” holds that a fixed cost added to a good of varying quality causes the consumer to prefer the category considered of higher quality to the lower.
Recently a number of...

...Feenstra and Taylor, “International Trade”, 2nd Edition. We follow the textbook very closely in class and cover about 70% of its contents.
2. Yeaple, Study Guide for Feenstra and Taylor’s International Trade, 2nd Edition. We take many practice problems from the Study Guide.
5 copies of the textbook (2nd edition) and 5 copies of the Study Guide (2nd edition) are on reserve at Parrish (the management-and-econ library).
Distribution of homework and other materials:...

...EC 109
Autumn 2011
Dr. Mani
ProblemSet 2
Due Date: Oct31, Monday – between 9 & 11 AM in room S 2.132
Please keep a copy of your assignment and show all your work clearly.
(1) Mr. J. Bond, a retired movie actor, consumes only grapes and the composite good Y (i.e. price of Y is £1). His income consists of £10000 a year from his investment fund plus the proceeds of whatever he sells of...

...Energy
1. A man climbs on to a wall that is 5 m high and gains 2200 J of potential energy. What is the mass of the man?
Given: Formula:
h = 5 m m = PE/gh
PE = 2200 J
Solution:
m = 2200 J / (9.8 m/s2 x 5 m)
m = 49 kg
2. Calculate the kinetic energy of a 500 kg car travelling at 50 m/s.
Given: Formula:
m = 500 kg KE = mv2/2
v = 50 m/s
Solution:
KE = 500 kg x (50 m/s)2 / 2
KE = 625 000 J
Power
3. Riley climbs a flight of stairs in 3 minutes. If...

...GENERAL BIOCHEMISTRY
ProblemSet No. 1
Answered by: Andrea Rose A. Fajardo of BSFT 2-1N
1. Calculate the pH of a dilute solution that contains a molar ratio of potassium acetate to acetic acid (pKa=4.76) of:
a. 2:1
pH = 4.76 + log[2]/[1]
= 4.76 + 0.3010
= 5.06
b. 1:4
pH = 4.76 + log[1]/[4]
= 4.76 + (-0.6021)
= 4.16
c. 6:5
pH = 4.76 + log[6]/[5]...

...BE 13.8
Vertical analysis (common-size) percentages for Vallejo Company’s sales, cost of goods sold, and expenses are listed below:
VERTICAL ANALYSIS 2012 2011 2010
Sales 100.0% 100.0% 100.0%
Cost of goods sold 60.5 62.9 64.8
Expenses 26.0 26.6 27.5
Net Income 13.5 10.5 7.7
Did Vallejo’s net income as a percent of sales increase, decrease, or remain unchanged over the 3 year period. Provide numerical support for your answer.
Sales – Cost of Goods Sold – Expenses = Net Income
100 –...

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