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 |
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 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 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 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 (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 day on a typical Wednesday. Let X be the number of cancellations on a particular Wednesday. |
(a) | Justify the use of the Poisson model. | ||||||
|
(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 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 |
|
(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 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. |
||||
|
(c) |
This sample shows that the standard is exceeded. |
||||
|
In: Math
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 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 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 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 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 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