Questions
What is the root-sum-square uncertainty model?

What is the root-sum-square uncertainty model?

In: Math

The distribution of Master’s degrees conferred by a university is listed in the table. Major Frequency...

The distribution of Master’s degrees conferred by a university is listed in the table.

Major

Frequency

Mathematics

216

English

207

Engineering

86

Business

176

Education

267

What is the probability that a randomly selected student graduating with a Master’s degree has a major of Education or a major of Engineering?

A. 0.371 B. 0.720 C. 0.390 D. 0.280

2.

The data below are the final exam scores of 10 randomly selected statistics students and the number of hours they studied for the exam.

Hours, ?

3

5

2

8

2

4

4

5

6

3

Scores, ?

65

80

60

88

66

78

85

90

90

71

A). Calculate the correlation coefficient.

B). Find the equation of the regression line.

C). Use the regression equation to predict the test score of a student who studied for 5.5 hours.

3. Find the ?-score for which 70% of the distribution’s area lies to its right.

A. -0.52 B. -0.98 C. -0.48 D. -0.81

4. A group of 49 randomly selected students has a mean age of 22.4 years. Assume the population standard deviation is 3.8. Construct a 98% confidence interval for the population mean.

A. (20.3, 24.5) B. (18.8, 26.3) C. (21.1, 23.7) D. (19.8, 25.1)

5.Use fundamental counting principle to determine how many license plates can be made consisting of 3 different letters followed by 2 different digits.

A. 1,757,600 B. 175,760 C. 100,000 D. 1,404,000

6. A group of students were asked if they carry a credit card. The responses are listed in the table.

Class

Credit Card

No Credit Card

Total

Freshmen

40

20

60

Sophomore

25

15

40

Total

65

35

100

If a student is selected at random, find the probability that he/she owns a credit card given that the student is a freshman.

A. 0.400 B. 0.615 C. 0.667 D. 0.333

7. Use the standard normal distribution to find ?(−2.50 < ? < 1.50).

A. 0.8822 B. 0.5496 C. 0.6167 D. 0.9270

8.

The number of home runs that Barry Bond hit in the first 18 years of his major league career are listed.

16 25 24 19 33 25 37 41 37

25 42 40 37 34 49 73 46 45

A). Find the mean.

B). Find the median.

C). Find the mode.

In: Math

Sales of single-family houses have been brisk in Mid City this year. This has especially been...

Sales of single-family houses have been brisk in Mid City this year. This has especially been true in older, more established neighborhoods, where housing is relatively inexpensive compared to the new homes being built in the newer neighborhoods. Nevertheless, there are also many families who are willing to pay a higher price for the prestige of living in one of the newer neighborhoods. The file C10_02. Xls contains data on 128 recent sales in Mid City. For each sales the file shows the neighborhood(1,2, or3) in which the house is located, the number of offers made on the house, the square footage, whether the house is made primarily of brick, the number of bathrooms, the number of bedrooms, and the selling price. Neighborhoods 1 and 2 are more traditional neighborhoods, whereas neighborhood 3 is a newer more prestigious neighborhood. Use regression to estimate and interprets the pricing structure of houses in Mid City. Here are some considerations.

Use regression to estimate and interpret the pricing structure of houses in Mid City. Here are some considerations.

1. Do buyers pay a premium for a brick house, all else being equal?

2. Is there a premium for a house in neighborhood 3, all else being equal?

3. Is there an extra premium for a brick house in neighborhood 3, in addition to the usual premium for a brick house?

4. For purposes of estimation and prediction, could neighborhoods 1 and 2 be collapsed into a single “older” neighborhood?

Home Nbhd Offers Sq Ft Brick Bedrooms Bathrooms Price
1 2 2 1790 No 2 2 228600
2 2 3 2030 No 4 2 228400
3 2 1 1740 No 3 2 229600
4 2 3 1980 No 3 2 189400
5 2 3 2130 No 3 3 239600
6 1 2 1780 No 3 2 229200
7 3 3 1830 Yes 3 3 303200
8 3 2 2160 No 4 2 301400
9 2 3 2110 No 4 2 238400
10 2 3 1730 No 3 3 208000
11 2 3 2030 Yes 3 2 265000
12 2 2 1870 Yes 2 2 246000
13 1 4 1910 No 3 2 205200
14 1 5 2150 Yes 3 3 252600
15 3 4 2590 No 4 3 353600
16 3 1 1780 No 4 2 291600
17 2 4 2190 Yes 3 3 294200
18 1 4 1990 No 3 3 167200
19 2 1 1700 Yes 2 2 222800
20 3 2 1920 Yes 3 3 334400
21 2 3 1790 No 3 2 232400
22 1 4 2000 No 3 2 227600
23 1 3 1690 No 3 2 183400
24 1 3 1820 Yes 3 2 212200
25 2 2 2210 Yes 4 3 312800
26 1 3 2290 No 4 3 298600
27 3 3 2000 No 4 2 274000
28 2 2 1700 No 3 2 198600
29 1 3 1600 No 2 2 138200
30 3 1 2040 Yes 4 3 376000
31 3 3 2250 Yes 4 3 364000
32 1 2 1930 Yes 2 2 224600
33 2 3 2250 Yes 3 3 270000
34 2 4 2280 Yes 5 3 279200
35 1 3 2000 No 2 2 235600
36 1 3 2080 No 3 3 234200
37 1 2 1880 No 2 2 235000
38 3 4 2420 No 4 3 294000
39 3 1 1720 No 3 2 262600
40 1 2 1740 No 3 2 216400
41 2 1 1560 No 2 2 213200
42 3 2 1840 No 4 3 267200
43 2 3 1990 No 2 2 211200
44 2 1 1920 Yes 3 2 308000
45 3 2 1940 Yes 3 3 333000
46 2 3 1810 No 3 2 206400
47 1 2 1990 No 2 3 259600
48 1 6 2050 No 3 2 180600
49 2 2 1980 No 2 2 231800
50 1 3 1700 Yes 3 2 215000
51 2 3 2100 Yes 3 2 302200
52 1 3 1860 No 2 2 182200
53 1 4 2150 No 2 3 234800
54 1 3 2100 No 3 2 261600
55 1 3 1650 No 3 2 162600
56 2 2 1720 Yes 2 2 251400
57 2 3 2190 Yes 3 2 281800
58 3 3 2240 No 4 3 304600
59 3 1 1840 No 3 3 276200
60 3 1 2090 No 4 2 310800
61 3 1 2200 No 3 3 361800
62 1 2 1610 No 2 2 201800
63 3 2 2220 No 4 3 322600
64 2 2 1910 No 2 3 241000
65 3 2 1860 No 3 2 260600
66 1 1 1450 Yes 2 2 222200
67 1 4 2210 No 3 3 252400
68 2 3 2040 No 4 3 303800
69 1 4 2140 No 3 2 187200
70 3 3 2080 No 4 3 331200
71 3 3 1950 Yes 3 3 333400
72 3 1 2160 No 4 2 315200
73 1 3 1650 No 3 2 214600
74 2 2 2040 No 3 3 251400
75 3 3 2140 No 3 3 288400
76 1 2 1900 No 2 2 213800
77 3 2 1930 No 3 2 259600
78 3 3 2280 Yes 4 3 353000
79 1 3 2130 No 3 2 242600
80 3 1 1780 No 4 2 287200
81 2 4 2190 Yes 3 3 286800
82 3 2 2140 Yes 4 3 368600
83 3 1 2050 Yes 2 2 329600
84 2 2 2410 No 3 3 295400
85 1 3 1520 No 2 2 181000
86 3 2 2250 Yes 4 3 376600
87 1 4 1900 No 4 2 205400
88 3 1 1880 Yes 3 3 345000
89 1 2 1930 No 3 3 255400
90 1 4 2010 No 2 2 195600
91 3 2 1920 No 4 2 286200
92 2 2 2150 No 3 2 233000
93 3 2 2110 No 3 2 285200
94 2 2 2080 No 3 3 314200
95 3 3 2150 Yes 4 3 321200
96 3 1 1970 Yes 2 2 305000
97 2 3 2440 No 3 3 266600
98 2 1 2000 Yes 2 2 253600
99 3 1 2060 No 3 2 291000
100 3 2 2080 Yes 3 3 342000
101 1 5 2010 No 3 2 206400
102 2 5 2260 No 3 3 246200
103 2 4 2410 No 3 3 273600
104 3 3 2440 Yes 4 3 422400
105 2 4 1910 No 3 2 164600
106 3 4 2530 No 4 3 293800
107 1 4 2130 No 3 2 217000
108 2 1 1890 Yes 3 2 268000
109 2 3 1990 Yes 3 3 234000
110 2 3 2110 No 3 2 217400
111 1 1 1710 No 2 2 223200
112 1 2 1740 No 2 2 229800
113 2 2 1940 Yes 2 2 247200
114 1 3 2000 Yes 3 2 231400
115 2 2 2010 No 4 3 249000
116 1 3 1900 No 3 3 205000
117 3 1 2290 Yes 5 4 399000
118 1 2 1920 No 3 2 235600
119 1 3 1950 Yes 3 2 300400
120 1 4 1920 No 2 2 219400
121 1 3 1930 No 2 3 220800
122 2 3 1930 No 3 3 211200
123 2 1 2060 Yes 2 2 289600
124 2 3 1900 Yes 3 3 239400
125 2 3 2160 Yes 4 3 295800
126 1 2 2070 No 2 2 227000
127 3 1 2020 No 3 3 299800
128 1 4 2250 No 3 3 249200

Please provide step by step answer

In: Math

##The same researchers from the Population Council are continuing their investigation of the focal relationship between...

##The same researchers from the Population Council are continuing their investigation of the focal relationship between GDP per capita and fertility rates across countries. In order to confirm the existence of the focal relationship, they decide to control for countries’ population size. The researchers suspect that larger populations could influence both GDP and birth rates (TFR) (but they hope this is not true, because it could invalidate the focal relationship). The researchers conduct a multivariate regression by adding a measure of population size to the regression equation presented in Equation 1 of Table 1. The results of the second regression equation are presented in Equation 2 of Table 1.

Table 1. OLS Regression Coefficients Representing Influence of Economic Output (GDP) and Control Variables on Total Fertility Rate

Equation 1

Equation 2

Equation 3

Gross Domestic Product per Capita (x 1000)

-.033

(.000)

-.033

(.000)

-.007

(.141)

Population size

-.0000000784

(.378)

-.0000000773

(.063)

Percentage of Women who can Read

-.043

(.000)

Y-intercept (Constant)

3.36

3.39

6.47

R2

.207

.213

.657

(Significance level in parentheses)

The same researchers from the Population Council are continuing their investigation of the focal relationship between GDP per capita and fertility rates across countries. In order to confirm the existence of the focal relationship, they decide to control for countries’ population size. The researchers suspect that larger populations could influence both GDP and birth rates (TFR) (but they hope this is not true, because it could invalidate the focal relationship). The researchers conduct a multivariate regression by adding a measure of population size to the regression equation presented in Equation 1 of Table 1. The results of the second regression equation are presented in Equation 2 of Table 1.

In the box provided, explain why the researchers are controlling for population size. Specifically, which elaboration strategy is being used? Or, what is the purpose of adding this new variable (population size) to the equation? You may draw a picture on your worksheet. You should not reference any numbers from the equation in your answer to this question.

Table 1. OLS Regression Coefficients Representing Influence of Economic Output (GDP) and Control Variables on Total Fertility Rate

Equation 1

Equation 2

Equation 3

Gross Domestic Product per Capita (x 1000)

-.033

(.000)

-.033

(.000)

-.007

(.141)

Population size

-.0000000784

(.378)

-.0000000773

(.063)

Percentage of Women who can Read

-.043

(.000)

Y-intercept (Constant)

3.36

3.39

6.47

R2

.207

.213

.657

(Significance level in parentheses)

Question 1 What conclusion should the researcher draw about the focal relationship between GDP per capita and birth rates when comparing Equation 2 to Equation 1? You should clearly referencing the specific numbers that you are using to draw your conclusion.

In: Math

COMPLETE A LOGISTIC REGRESSION, AS WELL AS A K-MEANS CLUSTER ANALYSIS IN EXCEL? Using the data...

COMPLETE A LOGISTIC REGRESSION, AS WELL AS A K-MEANS CLUSTER ANALYSIS IN EXCEL?

Using the data to find four clusters of cities. Write a short report about the clusters you find. Does the clustering make sense? Can you provide descriptive, meaningful names for the clusters? SHOW GRAPHS PLEASE (Scatter plot/cluster)

Metropolitan_Area Cost_Living Transportation Jobs Education
Abilene, TX 96.32 36.54 17.28 49.29
Akron, OH 47.31 69.68 86.11 71.95
Albany, GA 86.12 28.02 32.01 26.62
Albany-Schenectady-Troy, NY 25.22 82.71 52.97 99.43
Albuquerque, NM 44.48 84.13 90.65 71.67
Alexandria, LA 92.36 42.49 19.26 11.61
Allentown-Bethlehem-Easton, PA 33.72 66.57 29.46 63.45
Altoona, PA 61.76 26.91 12.18 1.69
Amarillo, TX 96.89 60.05 28.32 54.1
Anchorage, AK 15.87 84.41 76.48 41.35
Ann Arbor, MI 7.37 15.86 77.33 83
Anniston, AL 93.21 7.08 7.64 21.81
Appleton-Oshkosh-Neenah, WI 54.4 70.82 79.32 47.3
Asheville, NC 54.11 54.67 54.1 59.77
Athens, GA 62.4 29.46 47.3 45.32
Atlanta, GA 39.38 98.3 99.15 82.71
Atlantic City-Cape May, NJ 30.03 66.85 62.03 20.39
Augusta-Aiken, GA-SC 77.91 35.41 63.45 46.45
Austin-San Marcos, TX 50.43 78.75 98.01 98.3

In: Math

The issue of Sample size and its impact on the marketing test results requires action when...

The issue of Sample size and its impact on the marketing test results requires action when (it is possible that more than one answer may be correct)?

A. Sample sizes should be a consided and require action when you rolling out the results from an evaluated test.

B. Sample sizes should be considered rarely since, its importance is really overstated in marketing and market evaluations.

C. Sample sizes should be considered and require action as you are planning a test.

D. Sample sizes should be a considered and require action when you are evaluating a test.

In: Math

At an outpatient mental health clinic, appointment cancellations occur at a mean rate of 1.2 per...

At an outpatient mental health clinic, appointment cancellations occur at a mean rate of 1.2 per day on a typical Wednesday. Let X be the number of cancellations on a particular Wednesday.

  

(a) Justify the use of the Poisson model.
  
Cancellations are independent and similar to arrivals.
Cancellations are not independent.
Most likely cancellations arrive independently.

  

(b)

What is the probability that no cancellations will occur on a particular Wednesday? (Round your answer to 4 decimal places.)

  

  Probability   

  

(c)

What is the probability that one cancellation will occur on a particular Wednesday? (Round your answer to 4 decimal places.)

  

  Probability   
(d)

What is the probability that more than two cancellations will occur on a particular Wednesday? (Round your answer to 4 decimal places.)

  

  Probability   

  

(e)

What is the probability that three or more cancellations will occur on a particular Wednesday? (Round your answer to 4 decimal places.)

  

  Probability   

In: Math

The mean potassium content of a popular sports drink is listed as 146 mg in a...

The mean potassium content of a popular sports drink is listed as 146 mg in a 32-oz bottle. Analysis of 28 bottles indicates a sample mean of 145.5 mg.

(a) State the hypotheses for a two-tailed test of the claimed potassium content.
a. H0: μ = 146 mg vs. H1: μ ≠ 146 mg
b. H0: μ ≤ 146 mg vs. H1: μ > 146 mg
c. H0: μ ≥ 146 mg vs. H1: μ < 146 mg
a
b
c
(b)

Assuming a known standard deviation of 1.9 mg, calculate the z test statistic to test the manufacturer’s claim. (Round your answer to 2 decimal places. A negative value should be indicated by a minus sign.)

  Test statistic   
(c)

At the 5 percent level of significance (α = 0.05) does the sample contradict the manufacturer’s claim?

  
Decision Rule: Reject H0 (Click to select)if z > + 1.96 or if z < -1.96if z < + 1.96 or if z < -1.96if z < + 1.96 or if z > -1.96
  
The sample (Click to select)does not contradictcontradicts the manufacturer's claim.
(d)

Find the p-value. (Round intermediate calculations to 2 decimal places. Round your answer to 4 decimal places.)

  p-value   

In: Math

A quality standard says that no more than 2 percent of the eggs sold in a...

A quality standard says that no more than 2 percent of the eggs sold in a store may be cracked (not broken, just cracked). In 3 cartons (12 eggs each carton), 2 eggs are cracked.

(a)

Calculate a p-value for the observed sample result. Hint: Use Excel to calculate the binomial probability P(X ≥ 2 | n = 36, ππ = .02) = 1 – P(X ≤ 1 | n = 36, ππ = .02). (Round your answer to 4 decimal places.)

  P(X ≥ 2)   
(b)

We fail to reject the null hypothesis at α = 0.10.

No
Yes
(c)

This sample shows that the standard is exceeded.

Yes
No

In: Math

Please prepare a summary and response for 'The genius at Guinness and his statistical legacy'

Please prepare a summary and response for 'The genius at Guinness and his statistical legacy'

In: Math

how do I adapt a backward selection approach to select the key independent variables for a...

how do I adapt a backward selection approach to select the key independent variables for a model and also check multicollinearity issues for the selected variables

Thanks

In: Math

A random sample of 350 bolts from machine A contained 35 defective bolts, while an independently...

A random sample of 350 bolts from machine A contained 35 defective bolts, while an independently chosen, random sample of 250 bolts from machine B contained 17 defective bolts. Let P1 be the proportion of the population of all bolts from machine A that are defective, and let P2 be the proportion of the population of all bolts from machine B that are defective. Find a 99% confidence interval for P1-P2. Then complete the table below. Carry your intermediate computations to at least three decimal places. Round your responses to at least three decimal places. (If necessary, consult a list of formulas.) What is the lower limit of the 99% confidence interval? What is the upper limit of the 99% confidence interval?

In: Math

Two types of plastic are suitable for use by an electronic calculator manufacturer. The breaking strength...

Two types of plastic are suitable for use by an electronic calculator manufacturer. The breaking strength of the plastic is important. From random samples of n1 = 10 and n2 = 12 batches the respective means were obtained as ¯y1. = 152.5 and ¯y2. = 153.7. The total sum of square for the data was SSTotal = 31.865.

(a) Complete the following ANOVA table.

Source SS df MS F

Treatment

Error -

Total 31.865

(b) Calculate the t statistic for the appropriate two sample t test for checking the difference between the true mean of the two treatment levels.

(c) Use R to calculate exact p-values of the F-test from ANOVA and the t-test above. (d) What do you conclude? Is there a significant advantage to one plastic formulation or other at the level of α = 0.05?

In: Math

explain how hypothesis testing and statistical inferences are useful in industry, academic, and scientific research. Do...

explain how hypothesis testing and statistical inferences are useful in industry, academic, and scientific research. Do you think these methods are useful?

In: Math

(Please type out. I struggle to read handwriting.) 2. Collette is self-employed and sells cookware at...

(Please type out. I struggle to read handwriting.)

2. Collette is self-employed and sells cookware at home parties. She wants to estimate the average amount a client spends at each party. A random sample of 35 receipts gave a mean of x̅ = $34.70 with standard deviation s = $4.85.

(a) Find a 90% confidence interval for the average amount spent by all clients.

(b) What conditions are necessary for your calculations?

(c) For a party with 35 clients, use part (a) to estimate a range of dollar values for Collette’s total sales at that party.

In: Math