Sample Paper Mid Term Examination All questions carry equal marks (4 Marks Each) Q.No. 1 a) i) Suppose you are an operations manager for a plant that manufactures batteries. Give an example how you could use descriptive statistics to make better managerial decisions. ii) Listed here are 30 different weekly Dow Jones industrial stock averages. 2656 2301 2975 3002 2468 2742 2830 2405 2677 2990 2200 2764 2337 2961 3010 2976 2375 2602 2670 2922 2344 2760 2555 2524 2814 2996 2437 2268 2448 2460 Construct stem and leaf plot for these 30 values. Let the stem contain two digits.

(b)

Child-Care Community Nursery can continue to be supported by the county social service office as long as the average annual income of the families whose children attend the nursery is below $12, 500. The family incomes of the attending children are $12500, $17600, $10500, $10600, $9800, $4500, $3900, 12200, $14000 $8600, $14400,

i) ii)

Does Child-Care qualify now for county support ? If no, by how much must the average family income fall for it to qualify? If yes, by how much can average family income rise and Child-Care still stay eligible? Q.No. 2: Descriptive statistics of daily sales ($'s) were calculated for two Bob's Quick Shops -- the Southside store, and the Midcity store. Southside Mean Standard Error Median Mode Standard Deviation Sample Variance Kurtosis Skewness 5025.622 118.306 5110.73 #N/A 916.394 839778 -0.64387 -0.05517 Midcity 2733.333 249.1417 2000 1000 1929.843 3724294 -0.49322 0.860968

Range Minimum Maximum Sum Count

3949.172 3133.362 7082.534 301537.3 60

6000 1000 7000 164000 60

Describe what these descriptive statistics indicate about daily sales at these two stores. Q. No. 3 Max Sandlin is exploring the characteristics of stock market investors. He

found that sixty percent of all investors have a net worth exceeding $1,000,000; 20% of all investors use an online brokerage; and 10% of all investors a have net worth exceeding $1,000,000 and use...

... |15.83 |16.13 |16.20 |
Sums of squares
Total SS: Inputting all the individual values into the calculator gives the following summary statistics: n = 12, [pic] = 16.20, sn = 0.546 ( nsn2 = 3.58
Between Brands SS: The mean scores [pic] = 16.65, [pic]= 15.75 and [pic]= 16.20
Each of these means came from 4 values so inputting the means with a frequency of 4 gives: n = 12, [pic] = 16.20, sn = 0.367 ( nsn2 = 1.62 (n and [pic] for checking)
Error SS: 3.58 – 1.62 = 1.96
Anova table In this example: (k =3 brands, N =12 values)
|Source | S.S. |d.f. |M.S.S. | F |
|Between brands | 1.62 |3 - 1 = 2 |1.62/2 = 0.81 | 0.81/0.22 = 3.72 |
|Errors | 1.96 |11 - 2 = 9 |1.96/9 = 0.22 | |
|Total | 3.58 |12 - 1 = 11 | | |
Hypothesis test
H0: (1 = (2 = (3 H1: At least two of them are different.
Critical value: F0.05 (2,9) = 4.26 (Deg. of free. from 'between brands' and 'errors'.)
TestStatistic: 3.72
Conclusion: T.S. < C.V. so H0 not rejected. There is no difference between the fat content of the brands.
b)...

...
QoS Techniques: MPLS
CET 2486C – Network Technologies
Professor:
November 27, 2012
Abstract
MPLS or Multi Protocol Label Switching is a networking technology that functions between layers 2 and 3 of the OSI model. MPLS constitutes of adding a label (sometimes called “Shim” because of their placement between layer 3 and layer 2 headers.) to the data package, this label contains special addressing and sometimes prioritization information. Because the MPLS label contains all the information necessary for the router to forward the package to the next hop, the router does not have to spend time analyzing the entire package thus improving network latency or bottlenecks. Due to its multi protocol capabilities MPLS can be integrated with different networking technologies from ATM to native IP environments; in addition, this multi protocol capability also provides a way to converge different types of traffic such as data, voice and video onto one network. MPLS technology also provides some other advantageous features like Traffic Engineering (TE), VPN, Any Transport over MPLS (AToM) and Quality of Service (QoS). This paper will help provide an understanding of how MPLS works and the QoS capabilities it can provide.
History of MPLS
In 1996 a group from Ipsilon Networks introduced a “flow management protocol”, this technology only worked with ATM transmissions and did not become very popular in the market. Not long after Cisco...

...Practice Problems 1-KEY 1. The closing stock price of Ahmadi, Inc. for a sample of 10 trading days is shown below. Day Stock Price 1 84 2 87 3 84 4 88 5 85 6 90 7 91 8 83 9 82 10 86
For the above sample, compute the following measures. a. b. c. The mean = ∑X/n = 860/10 = 86 The median = (85+86)/2 = 85.5 The variance = ∑ X - X 2/ n-1 = {(84-86)2 + (87-86)2 + (84-86)2 + (88-86)2 + (85-86)2 + (90-86)2 + (91-86)2 + (83The standard deviation = √8.89 = 2.98 The coefficient of variation = 2.98/86 * 100% = 3.47%
86)2 + (82-86)2 + (86-86)2 } / (10 -1) = 8.89 d. f.
2. In 2008, the average age of students at GUST was 22 with a standard deviation of 3.96. In 2009, the average age was 24 with a standard deviation of 4.08. In which year do the ages show a more dispersed distribution? Show your complete work and support your answer. CV2008 = 3.96/22 * 100% = 18% CV2009 = 4.08/24 * 100% = 17% So, 2008 shows more dispersed distribution 3. A local university administers a comprehensive examination to the recipients of a B.S. degree in Business Administration. A sample of examinations are selected at random and scored. The results are shown below. Grade For the above data, determine a. The mean = ∑X/n = 664/8 = 83 b. c. The median = (85+87)/2 = 86 The standard deviation = √variance ariance = ∑ X - X 2/ n-1 = {(93-83)2 + (65-83)2 + (80-83)2 + (97-83)2 + (85-83)2 + (87-83)2 + (97-83)2 + (60 - 83)2 } / (8 -1) = 196.29 S0, standard deviation = √196.29 = 14.01 d. The coefficient of...

...Last name:
First name:
Student #:
STA 304H1 F/1003H F SUMMER 2009, First Test, May 28 (20%) Duration: 50min. Allowed: hand-calculator, aid-sheet, one side, with theoretical formulas and definitions only. [25] 1) A marketing analyst is asked to study the buying habits of shoppers at a national chain store (e.g. Sears). Suppose there are 150 stores around the country. (a) Describe the population of interest. (b) Describe in short a realistic sampling procedure for obtaining a representative sample in this problem, and give a name of the procedure. (c) Are the target population and sampled population the same? Explain some related problems. (d) Give two variable of interest related to element of the population (one quantitative, the other qualitative). (e) Describe an appropriate method of data collection in this study. Solutions: [5](a) All shoppers at the chain store. More accurate definition would be: All shoppers that regularly shop at the chain store, but then it should require to defining who is a “regular shopper”. The definition may also include a time period of shopping. [5] [7](b) Two stage cluster sampling: First select an SRS of stores, and then a sample of customers, e.g. when entering the store, or at exit, using systematic sampling, because a list of shoppers does not exist. [7] Selecting customers from each store is possible but would be inconvenient and much more costly. Also, the sampling design may include a rule of selecting a...

...lower than a value. What statistical measure should he use?
A. mean
B. median*
C. mode
D. standard deviation
3. A "codebook" is
A. only used in existing statistics research.
B. a document that tells the researcher where variables are located in the data file and what numbers go with variable attributes*
C. the set of instructions that tell interviewers or experimenters how to treat respondents or subjects.
D. an unnecessary part of data analysis since computers were invented.
4. Which of the following is/are aimed primarily at explanation?
A. univariate analysis.
B. bivariate analysis.
C. multivariate analysis.
D. b and c are both correct.*
5. Which of these is the best way to ask about income ranges?
A. 5,000 – 10,000; 10,000 – 20,000; 25,000- 30, 000
B. 5,000 – 10,000; 10,000 – 15,000; 15,000- 20, 000
C. 1, 000 – 9, 999; 10, 000 – 19,999; 20, 000 – 29, 999*
D. none of the above
6. Which of these are not parts in an experiment?
A. control group
B. post-test
C. longitudinal follow-up*
D. random assignment
7. Which of these is true of mail and self-administered questionnaires?
A. high response rate
B. well suited for illiterate or low literacy respondents
C. guarantee of the desired person filling it out
D. none of the above*
8. Descriptive statistics are measures that deal with one variable only.
A. True
B. False*
9. The standard deviation is a measure of...

...on only certain distinct values, ex. 1,2,3. Continuous variable-can take any value within a certain range, ex. 5-10
-Associations between variables
Dependent Variable comparing measures of central tendency
independent | Nominal | Ordinal | interval |
Nominal=gender,sex | Cross tab/chi squared | Cross tab/chi squared | t-test |
Ordinal=sm,md,lg | Cross tab/chi squared | Cross tab/chi squared | Anova |
Interval=1,2,3 | Multinominal logit/probit | Ordered probit/logit | Regression, correlation |
| Nominal | Ordinal | Interval |
Mean | | | Yes |
Median | | Yes | Yes |
Mode | yes | yes | Yes |
-Normal standard distribution. Curve =1 each side is .5. Properties of standard normal distribution - It is symmetric (mean=median) - It has only one mode (mean=median=mode) Mean equals to zero. 68.26%=1SD, 95.44%=2SD, 99.72%=3SD. Reliability tests Inter rater-when two people evaluate the data the same. Test retest- test and a short period of time later retest. Parallel forms-two different way of the same data is tested at the same time. T test use SE z test use SD. For T test μ pop. Mean, xbar= normal mean Central Limit Theorem As the sample size (n) gets larger, the distribution of the sample mean gets closer to a normal distribution with a mean of μ and a variance of σ2/n for any Xi T-score: If sample (n) is less...

...
Contents
Question 1 3
Question 2a 5
Question 2b 6
Question 2c 7
Question 3a 8
Question 3b 8
Question 3c 10
Question 3d 11
Question 4 12
Question 5 14
References 15
Question 1
The sampling method that Mr. Kwok is using is Stratified Random Sampling Method. In this case study, Mr Kwok collected a random sample of 1000 flights and proportions of three routes in the sample. He divides them into different sub-groups such as satisfaction, refreshments and departure time and then selects proportionally to highlight specific subgroup within the population. The reasons why Mr Kwok used this sampling method are that the cost per observation in the survey may be reduced and it also enables to increase the accuracy at a given cost.
TABLE 1: Data Summaries of Three Routes
Route 1
Route 2
Route 3
Normal(88.532,5.07943)
Normal(97.1033,5.04488)
Normal(107.15,5.15367)
Summary Statistics
Mean
88.532
Std Dev
5.0794269
Std Err Mean
0.2271589
Upper 95% Mean
88.978306
Lower 95% Mean
88.085694
N
500
Sum
44266
Summary Statistics
Mean
97.103333
Std Dev
5.0448811
Std Err Mean
0.2912663
Upper 95% Mean
97.676525
Lower 95% Mean
96.530142
N
300
Sum
29131
Summary...

...compliments the regular mathematics and therefore both are tested in primary schools. Mathematics is the written application of operation. It teaches students to think clearly, reason well and strategize effectively. Mental Mathematics is the ability to utilise mathematical skills to solve problems mentally. The marks scored by pupils generate statistics which are used by teachers to analyse a student’s performance and development of theories to explain the differences in performance.
The Standard 3 class is where the transition from junior to senior level occurs where teachers expect the transference of concrete to abstract thinking would have occurred.
A common theory by many primary school teachers is ‘Students perform better in Mathematics than Mental math. Mental math is something that has to be developed and involves critical thinking. Mental math requires quick thinking and the student must solve the problem in their minds whereas in regular mathematics, the problem can be solved visually. Therefore, teachers should take these factors into consideration while testing and marking students in these areas.’
In this study, the statistics of 30 students of a standard 3 class of San Fernando Boys’ Government School will be analysed to determine the truth of this theory.
DATA COLLECTION METHODS
Mathematics and mental mathematics marks of term 1 of the class of 2013 were obtained from a Standard 3 teacher of San Fernando Boys’...

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