Our pulse rate is extremely important, because it is difficult to function without it! Physicians use pulse rates to assess the health of patients. A pulse rate that is abnormally high or low suggests that there might be some medical issue; for example, a pulse rate that is too high might indicate that the patient has an infection or is dehydrated.
Consider pulse rate measurements (in beats per minute) obtained from a sample of 5 females as follows:
74 68 89 62 72
Answer the following Questions:
In: Statistics and Probability
Listed below are the heights of candidates who won elections and the heights of the candidates with the next highest number of votes. The data are in chronological order, so the corresponding heights from the two lists are matched. Assume that the paired sample data are simple random samples and that the differences have a distribution that is approximately normal. Construct a 95% confidence interval estimate of the mean of the population of all "winner/runner-up" differences. Does height appear to be an important factor in winning an election?
Winner 75 72 73 74 72 73 76 73
Runner-Up 74 71 70 70 69 73 72 72
Construct the 95% confidence interval. (Subtract the height of the runner-up from the height of the winner to find the difference, d.)
B) Based on the confidence interval, does the height appear to be an important factor in winning an election?
In: Statistics and Probability
A college physics professor thinks that two of her sections scored differently on the final exam.
She collects the scores for the two classes and stores them in a file.
We do not know anything about the test score distributions.
Answer the following. Use alpha = 0.05.
a). What is the value of the test statistic?
b). What is the p-value?
c). Is she correct in stating that the final exam scores from the two sections are not equal to each other?
Here is the data...
74
75
79 77
65 76
58 82
67 88
61 91
63 92
64 70
62 89
72 85
66 71
58 82
66 91
63 77
61 67
73 87
77 92
68 88
62 94
67 85
81 97
80 93
58 74
In: Statistics and Probability
You will complete a question about Correlation Examples and complete a Simple Linear Regression. For the Simple Linear Regression, make sure to complete the following steps:
Construct a scatter plot.
Find the equation of the regression line.
Predict the value of y for each of the x-values.
Use this resource: Regression
Give an example of two variables that have a positive linear correlation. Give an example of two variables that have a negative linear correlation. Give an example of two variables that have no correlation. Height and Weight: The height (in inches) and weights (in pounds) of eleven football players are shown in this table.
Height, x 62 63 66 68 70 72 73 74 74 75 75
Weight, y 195 190 250 220 250 255 260 275 280 295 300
x = 65 inches x = 69 inches x = 71 inches
In: Statistics and Probability
A study was conducted among children aged 8-10 to determine if resting heart rate differed between males and females. Independent samples of 8 females and 8 males were selected from the two respective populations.
The results were as follows (heart rates in beats/min):
Females 71, 80, 80, 75, 78, 77, 81, 82
Males 71, 81, 79, 74, 73, 78, 71, 74
Assume the samples were drawn from normally distributed populations with equal variance.
a) Use α = 0.05 (two-tailed) and assume 80% power.
b) State the null and alternative hypotheses.
c) List the critical value
d) Perform the appropriate statistical test using the attached SAS file.
e) If the decision was to fail to reject Ho, can Ho be accepted?
In: Statistics and Probability
All work needs to be shown
Consider all observations as one sample of X (1st column) and Y (2nd column) values. Answer the following questions: (20 points)
|
78 |
4.4 |
|
74 |
3.9 |
|
68 |
4 |
|
76 |
4 |
|
80 |
3.5 |
|
84 |
4.1 |
|
50 |
2.3 |
|
93 |
4.7 |
|
55 |
1.7 |
|
76 |
4.9 |
|
58 |
1.7 |
|
74 |
4.6 |
|
75 |
3.4 |
|
80 |
4.3 |
|
56 |
1.7 |
|
80 |
3.9 |
|
69 |
3.7 |
|
57 |
3.1 |
|
90 |
4 |
|
42 |
1.8 |
|
91 |
4.1 |
|
51 |
1.8 |
a) Calculate the correlation coefficient r
b) Fit the regression model (predicting Y from X) and report the estimated intercept and slope.
c) Test whether the slope equals 0. Report your hypothesis, test statistic, p-value.
All work needs to be shown
In: Statistics and Probability
10. Ms. McNicholas wants to see if there is any difference in the Final Exam scores of her two Statistics classes. Class I 81 73 86 90 75 80 75 80 75 81 85 87 83 75 70 65 80 76 64 74 86 80 83 67 82 78 76 83 71 90 77 81 82 Class II 87 77 66 75 78 82 82 71 79 91 97 89 92 75 89 75 95 84 75 82 74 77 87 69 96 65 a) Find the five-number summary for each class. b) Construct a boxplot for each class. c) Determine the range for outliers on each graph. d) Is there a difference in the performance of the two classes?
In: Statistics and Probability
Here is a simple probability model for multiple-choice tests. Suppose that each student has probability p of correctly answering a question chosen at random from a universe of possible questions. (A strong student has a higher p than a weak student.) The correctness of answers to different questions are independent. Jodi is a good student for whom p = 0.8.
(a) Use the Normal approximation to find the probability that Jodi scores 74% or lower on a 100-question test. (Round your answer to four decimal places.)
(b) If the test contains 250 questions, what is the probability that Jodi will score 74% or lower? (Use the normal approximation. Round your answer to four decimal places.)
(c) How many questions must the test contain in order to reduce the standard deviation of Jodi's proportion of correct answers to half its value for a 100-item test?
In: Math
Through the use of online tools and search facilities, ordinary users can acquire personal information about others. As a matter of fact, anyone with internet access can use search engines such as Google to find out information about another individual. Sometimes, the person who is the subject of research is completely unaware that the information is publicly available. Does this use of search engines pose a threat to the privacy of ordinary people? Explain your answer.
In: Economics
choose an industry and two organizations that compete within that industry (e.g. Scotiabank vs. TD Canada Trust, Walmart vs. Costco, Adidas vs. Nike, Coke vs Pepsi). Using publicly available information (and not contacting the companies), students will prepare a report comparing both organizations and their position with the industry. The report will also include an internal and external analysis (SWOT) of each organization and recommendations for the future. and two strong and weak ratios of both companies
In: Finance