Test Statistic (z vs. t)
• When population standard deviation is known, solve for z and use the z-table.
• When population standard deviation is unknown (s will be given), solve for t and use the t-table

p-value Approach
1. Solve for the test statistic (z or t) using your sample mean (x-bar)
2. Solve for the p-value using z
a. If z is positive, subtract the % below the z-score from 1 to get the p-value
b. If z is negative, keep the % below the z-score from the table as the p-value
c. In either case, if it is a two-tail test, multiply the p-value by 2
3. Solve for the p-value using t
a. Find the 2 values for area in the upper tail that your t-value is between, those values compose the range for your p-value
b. If it is a two-tail test, multiply the 2 numbers of the range by 2
4. Compare p-value with alpha (level of significance)
a. If p-value is > alpha then do not reject the null
b. If p-value is < alpha then reject the null

Critical Value Approach
1. For a one-tail test, find the z-score that has the significance level below it.
2. If the z-value of your sample mean (x-bar) is positive, then compare to the positive form of the critical value
3. If the z-value of your sample mean (x-bar) is negative, then compare to the negative form of the critical value
4. For a two-tail test, divide the significance level by 2 and then determine the z-values that have that percent above and below
5. If the z-value for your sample mean (x-bar) is less than the negative critical value, reject the null
6. If the z-value for your sample mean (x-bar) is more than the positive critical value, reject the null
7. If the z-value for your sample mean (x-bar) is within/between the positive and negative forms of the critical value, do not reject the null

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Chem 333 Quiz 3
This quiz covers material for chapter 6. Answers will be posted later on my wiki page.

1) What is the difference between SN1 and SN2?

2) Inversion always occurs with which type of reaction?

3) In which type of reaction will the product be racemic?

4) Polar protic solvents favor which reaction? Polar aprotic solvents?

5) A strong, bulky base favors which type of reaction? Give an example.

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1. Consider a sample with a mean of 500 and a standard deviation of 100. What are the z-scores for the following data values: 520, 650, 500, 450, and 280?

2. Consider that the mean price of a customized wooden, shingled backyard structure is $3100 and the standard deviation is $1200.
a. What is the z-score for a backyard structure costing $2300?
b. What is the z-score for a backyard structure costing $4900?
c. Determine whether or not the costs above are outliers.

3. The results of a national survey showed that on average, adults sleep 6.9 hours per night. Suppose that the standard deviation is 1.2 hours.
a. Use Chebyshev’s theorem to calculate the percentage of individuals who sleep between 4.5 and 9.3 hours.
b. Assume that the number of hours of sleep follows a bell-shaped distribution. Use the empirical rule to determine the percentage of individuals who sleep between 4.5 and 9.3 hours.

4. Show the five-number summary and determine the upper and lower limits for the following data: 5, 15, 18, 10, 8, 12, 16, 10, 6.

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Cause an increase in demand (RIGHTWARD SHIFT demand curve)
o Decrease in price of complement
o Increase in price of substitute
o Increase in INCOME for a NORMAL GOOD
o Decrease in INCOME for an INFERIOR GOOD
o Increase in number of buyers
o Buyers expect higher prices in FUTURE
o Buyers think it’s good for them (preference)
***When the opposite of any of these shifters occurs demand will decrease (LEFTWARD SHIFT)

Cause an increase in supply (RIGHTWARD SHIFT supply curve)
o Decrease in price of inputs of product
o Improvement in technology (that causes lower production cost)
o Increase in number of sellers
o Sellers expect lower prices in FUTURE
o Decrease in price of a good that uses similar inputs
o Good weather/production conditions
***When the opposite of any of these shifters occurs supply will decrease (LEFTWARD SHIFT)

Any time the PRICE of the GOOD changes there’s an increase/decrease in the QUANTITY DEMANDED/SUPPLIED -->movement ALONG the curve
o Related to the LAW OF DEMAND and LAW OF SUPPLY

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Chem 333 Quiz 1 (Answers in Attachment Below)
This quiz covers material for chapters 3 and 4. Answers will be posted later on my wiki page.

1) What is the difference between a Lewis Acid and a Lewis Base?

2) What is the difference between a nucleophile and an electrophile and how do they relate to Lewis Acids and Bases?

3) Why is the acetate ion a stronger acid than the ethoxide ion?

4) Name the following compound: CH2=CHCH2CH2Br

5) Draw the following compound: 5-methylcyclopenta-1,3-diene

6) Draw the following compound: 7-ethyl-2,4,6,8,-tetramethyl-5-propyl decane

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-For those of you in Professor McNulty's class: go to his review session, because the questions on the test are very similar
- Study- go back through your notes to figure out important equations -- use a highlighter
- Repetition - do your hw problems again if you haven't already. Go back and do them again if you need to
- Work practice problems for test out with a partner -- study over them and then try to do them without your notes

What your likely to see:
chain rule problems
separate derivatives with respect to x and y
rate of change
domain and range
tangent planes
intersecting planes
limits
vectors
functions within functions

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1) Find the parametric equation for a line through (5,-2) that is parallel to 2i -j


2) u- = , v- = w- =
a) u - w b) 7v + 3w c) -w + v
d) 3(u-7v) e) -3v - 8w f) 2v - (u+w)

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u substitution

Integration of (sinxcosx dx) u=sinx du= cosx dx
it becomes Integration of (u du)
Integrate: =u^2/2 + C
plug sinx back in for u >>>>>> (sin(x))^2/2 + C
if we take the derivative of this we'll get sin(x) cos(x) dx...... so it works out

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