Quiz 3

1.      (5 points) What is the null hypothesis?

2.      (5 points) What is the alternative hypothesis?

3.      (5 points) What is a type I error? Be sure to explain α, the significance level, and (1-α) the confidence level.

4.      (5 points) What is a type II error? Be sure to explain β, which has no standard name, and (1-β), the power.

 

5.      (10 points) The distribution of weights for a large sack of rice is approximately a mean of 100 lbs and a standard deviation of 2 lbs.

a.       Use the z-table calculator and find weight of a sack which is in the 99th percentile. Use value from an area. (No screen shot necessary.)

http://davidmlane.com/hyperstat/z_table.html

b.      What is the z-score for this weight? (z-score = (x-µ)/σ)

 

c.       Suppose you want to try to save money. You will weigh each sack first and then only buy the sack if it weighs 101 lbs or more. If you weigh 100 sacks, how many of these sacks will you end up buying on average? (Show a screen shot of your answer.)

Use the central limit theorem to answer the following questions.

d.      Suppose instead to save time, you decide to weigh 10 sacks at a time and take the average value. What is the average weight of a sack? (µ)

e.       For a group of 10 sacks, what would be the standard deviation of the group? (i.e. σ/)

f.       If you only buy the group of 10 sacks when its average weight is 101 lbs or more, what is the percentage of the groups of 10 that you will end up buying? Use the z-table calculator. (No screen shot necessary)

6.      (10 points) Download the data for the Quiz 1 Excel data file. Use Column A.

A certain drug is said to produce at least 3.4 micrograms of its product in the bloodstream. We want to test whether the data taken from 10 test patients shows this effect (µ >= 3.4). If the effect is less than its advertised level, then we will report the company for false advertising.

a.       What is the null hypothesis Ho for our test?

b.      What is the alternative hypothesis Ha?

c.       What type of tail test will we use? (left tail, right tail, or two tails)?

d.      What is the mean of the sample xbar?

e.       What is the standard deviation of the sample s?

f.       What is the size of the sample n?

g.      We going to use a t-statistic. Explain why we are not going to use a z-statistic.

h.      Calculate the t-statistic using xbar, µ, n, and s.

i.        How many degrees of freedom does this data set have?

j.        Use the t-distribution calculator to compute a p-value. Include a screen shot of your answer.

http://www.statdistributions.com/t/

k.      Typically, we want a 95% confidence level. Based on your value of p, should we accept or reject the null hypothesis?

l.        What if we want a 99% confidence level? Based on your value of p, should we accept or reject the null hypothesis?

7.      (10 points) Use Columns C and D for this question.

You are a manager and are testing two methods of production – Method C and Method D. You want to know whether there is any difference in the output depending on which method is used. Column C gives the output for 9 workers using the first method. Column D gives the output for the SAME 9 workers using the second method. Now there are two ways to do the problem. We could test if µ(C) is equal to µ(D). Or since there is data for the same workers using different methods, we could test whether µ(C-D) = 0.

The easier way to do this problem is to test whether µ(C-D) equals 0, or is not equal to 0.

a.       Make a new series of data samples by letting E = C – D. List your new series of 9 numbers.

b.      What is the null hypothesis H0 ?

c.       What is the alternative hypothesis Ha ?

d.      What type of tail test are we going to use? (left tail, right tail, two tail)

e.       What is the mean xbar of this new sample?

f.       What is the standard deviation of the sample s?

g.      What is the size of the sample n?

h.      How many degrees of freedom does this data set have?

i.        What is the t-statistic for this sample?

j.        Use the t-distribution calculator to compute a p-value. Show a screen shot of your answer.

k.      Based on this value of p and using a 95% confidence level, is there a difference between the two methods in the production? Should we accept or reject the null hypothesis?

8.      (10 points) Use columns F and G for the Least-Squares line.

a.       Use Excel to make a scatter plot of the data.

b.      Adjust the values of the x and y axes so that the data is centered in the plot.

c.       Put the trendline on your plot.

d.      Put the equation of the trendline on your plot.

e.       Put the R2 value on your plot.

f.       The R value is a measure of how well the data fits a line. What is R?

g.      Make a screen shot of your final plot. How well do you think the data fits the line? (good fit, moderate fit, marginal fit, no fit)

9.      (10 points) You are working for the Center for Disease Control (CDC). It is flu season and you suspect that flu is affecting the very young and the very old more than other age groups. Your hypothesis is that the number of sick people in each age group should be about the same. You are going to use a X-squared test on your hypothesis. The average numbers of people who were reported to have the flu last month was:

0 – 10 years – 185

11 – 20 years – 175

21 – 30 years -140

31 – 40 years – 145

41 – 50 years – 150

51 – 60 years –140

61 – 70 years – 165

71 and over – 180

 

a.       What is the null hypothesis?

b.      What is the alternative hypothesis?

c.       What is the total number of people who were reported sick last month?

d.      Your model is that the number of people who have the flu should be the same in each age group. Therefore, what is the expected number of people who should be sick in each age group?

e.       Enter the observed number of people who have the flu and the expected number of people who have the flu into the X-squared goodness of fit applet.

http://home.ubalt.edu/ntsbarsh/Business-stat/otherapplets/goodness.htm

f.       What is the number of degrees of freedom?

g.      What is the p-value? Provide a screen shot of your answer.

h.      Using a 95% confidence interval, should you accept or reject the null hypothesis?

10.  (10 points) This problem is the check to see whether you understand the X-squared test. There are only 2 test columns, so you cannot use the X-squared Goodness of Fit applet from the previous problem as it requires 3 or more test intervals.

You are flipping coins and wonder if the coin is “fair” or “weighted”. After 100 flips, you get 60 heads and 40 tails. Determine if the coin is “fair” or “weighted” using a X-squared test.

a.       What is the null hypothesis for this test?

b.      What is the alternative hypothesis?

c.       Fill in the following table.

Flip

Observed

Expected

(O – E)

(O-E)2

(O-E)2/E

Heads

60

 

 

 

 

Tails

40

 

 

 

 

Sum

100

 

 

n/a

 

d.      What is the value of X2 for this data?

e.       What is the number of degrees of freedom?

f.       Use the X2 calculator to compute p (use the right tail option). Provide a screen shot of your calculation.

http://www.statdistributions.com/chisquare/

g.      Does this value of p support the null hypothesis strongly, moderately, weakly? Or does the value of p support the alternative hypothesis? Explain why.

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Quiz 3

Week 3 Quiz

 

Please read through the following questions and based on your week 2 material, highlight or underline the correct answer.  Please submit quiz no later than midnight Sunday.

 

1)         What is the main disadvantage of using only a debit card?

a.       Debit card purchases are not reported to credit reporting agencies and therefore will not help you build your credit score.

b.      Not all stores accept debit cards.

c.       You may earn better rewards with a credit card.

d.      Credit cards offer fewer protections if your card is lost or stolen.

 

 

2)         When selecting and using a debit card, you should avoid

a.       monitoring your account every other day

b.      prepay cards that allow you to load more money onto them

c.       debit cards tied to your checking account

d.      overdraft protection that allows you to spend more than you have

 

 

3)         Which of the following is not an effective way to think about money?

a.       Live below your means but within your needs.

b.      Only purchase needs, not wants.

c.       Financial freedom requires making a lot of money.

d.      Pay yourself first.

 

 

4)         The smartest way to build an emergency fund is to

a.       set aside small amounts monthly through an automatic savings plan

b.      open a home equity line of credit (HELOC) that you can tap into in case of emergency

c.       take out multiple credit cards with high credit limits that you can tap into in emergencies

d.      go on a strict budget and save as much as possible until you have an emergency fund

 

 

5)         How much money should you have in your emergency savings account?

a.       An amount that will safely cover your bills for three to six months

b.      An amount equal to eight months of your living

c.       An amount between $2,500 and $5,000 to cover sudden, unexpected expenses

d.      Three months of your wages

 

 

 

6)         The best place for your emergency savings fund is

a.       in a liquid account at a bank or credit union that offers you the highest interest rate possible

b.      in a fireproof safe within your home; you want to be able to get to your money quickly in an emergency

c.       in your checking account or your debit-card account so you can get it right away—keep a mental note of what part of your balance is to be spent only on emergencies

d.      in a Roth IRA—you can always withdraw your contributions without a penalty or tax

 

 

7)         How do you make sure the money you deposit at a bank or credit union is 100% safe—that you are guaranteed to get every penny back no matter what?

a.       Keep the money in a checking or savings account, not a money-market fund.

b.      Keep cash in a safe-deposit box at a bank that you have access to seven days a week.

c.       Just make sure your balance is never more than $50,000 at a single bank or credit union, because that is the limit that financial institutions can guarantee.

d.      Confirm that a bank is a member of the Federal Deposit Insurance Corp. (FDIC) or a credit union is a member of the National Credit Union Share Insurance Fund (NCUSIF), and never have more in your account than the maximum insured amount.

 

 

8)         What is the maximum dollar amount the Federal Deposit Insurance Corp. (FDIC) ensures in a single account?

a.       $150,000

b.      $200,000

c.       $250,000

d.      $500,000

 

 

9)         If the money you have coming in each month (your take-home pay) is less than the money going out each month to pay the bills, you should

a.       make up the difference by using a credit card with a very low interest rate

b.      stop paying your credit card in full; paying just the minimum due gives you more money each month

c.       look through your spending for the single biggest expense you can eliminate completely to make your income equal what you spend

d.      find ways to trim spending from multiple spending categories till you have made up the shortfall

 

 

10)       To intelligently reduce your spending over the long term

a.       mark all the needs in your spending categories and get rid of them completely

b.      never carry cash or credit cards on your person

c.       consider scaling back on the frequency of certain expenses, such as how many times a month you eat out or go to the movies

d.      limit your trips to stores or malls to just once a month

 

 

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Quiz 3

IMPORTANT: AFTER PURCHASE, LOG IN TO YOUR ACCOUNT AND SCROLL DOWN BELOW THIS PAGE TO DOWNLOAD FILES WITH ANSWERS.

1. For Aristotle, thinking and knowing begin with

2. Preplanned materials and learning exercises designed to develop the practical, sensory, and formal skills of children were designed by

3. For John Dewey, education’s sole purpose is to contribute to

4. Pestalozzi believed that teachers needed to develop

5. The Greek approach of having the student immersed and participating in society can be described as

6. Antonia’s dream is to establish her own primary school—one that educates the “whole child” and that has teachers who help children feel safe, secure, and cared for. Which of the following educational theorists should she study for ideas that may help her plan her school?

7. You just took a job teaching in a primary school. The principal has told you that the school’s mission envisions each classroom becoming a “prepared environment” for encouraging self-development and socialization. These ideas are based on

8. Herbart was noted for incorporating history and literature into the curriculum. He did this to

9. The methodological approach that involved theological and philosophical scholarship and teaching is called

10. Children learn the group’s language and skills and assimilate moral and religious values through ________.

11. The process by which competition would bring about gradual but inevitable progress is

12. An important Greek and Roman contribution to Western education was

13. According to the class presentation, which of the following learning theories are theories of transformation?

14. The following are a list of learning theories and teaching methods. If you believe a particular learning theory, you will likely practice a particular teaching method. Which theory-practice pair is least compatible?

15. The following techniques are used by those following Behaviorism as a learning theory. Which one is NOT a technique of Behaviorism?

16. The following techniques are used by those following Behaviorism as a learning theory. Which one is NOT a technique of Behaviorism?

17. To the Behaviorist, free will is the internal power to change your behavior.

18. According to the class presentation, which of the following learning theories are theories of transmission?

19. Behaviorism believes the nature of the learner is

20. To the Behaviorist, free will is the internal power to change your behavior.  

BUY MORE MATERIALS FOR THIS COURSE:

EDUC 305 Quiz 1

EDUC 305 Quiz 2

EDUC 305 Quiz 3

EDUC 305 Quiz 4

EDUC 305 Quiz 5

EDUC 305 Quiz 6

EDUC 305 Quiz 7

EDUC 305 Quiz 8

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