An airline's public relations department says that the airline rarely loses passengers' luggage. It further claims that on those occasions when luggage is lost, 92 % 92% is recovered and delivered to its owner within 24 hours. A consumer group who surveyed a large number of air travelers found that only 137 of 169 people who lost luggage on that airline were reunited with the missing items by the next day. Does this cast doubt on the airline's claim? Explain
In: Math
6. For accreditation purposes, we are concerned about the general knowledge of UIW students about American Economy. An exam was completed by 5 freshman students per area of degree choice in a total of 60 students. The scores are below: | |||||||||||
Accounting | Finance | General Business | Information Systems | Marketing | Social Marketing | Management | Project Management | Criminal Justice | Health Science | Leadership Studies | Psychology |
55 | 49 | 68 | 99 | 93 | 43 | 84 | 41 | 79 | 95 | 79 | 51 |
43 | 73 | 75 | 59 | 96 | 62 | 83 | 82 | 49 | 98 | 42 | 65 |
68 | 91 | 54 | 61 | 46 | 55 | 89 | 83 | 82 | 97 | 50 | 77 |
91 | 61 | 97 | 94 | 68 | 51 | 79 | 58 | 40 | 83 | 58 | 45 |
92 | 74 | 72 | 69 | 61 | 58 | 70 | 49 | 87 | 79 | 87 | 57 |
a. What is the average grade for Social Marketing? | |||||||||||
b. What is the Sum of Squares Factor? | |||||||||||
c. What is the Sum of Squares Error? | |||||||||||
d. What is the df for the numerator? | |||||||||||
e. What is the df for the denominator? | |||||||||||
f. What is the Mean Square Factor? | |||||||||||
g. What is the Mean Square Error? | |||||||||||
h. What is the F statistic? | |||||||||||
i. What is the p-value? | |||||||||||
j. At 1% significance level, would you reject or accept an hypothesis based on the alpha and pvalue and why? | |||||||||||
In: Math
Indicate if the variable is discrete or continuous.
a) Total full-time employees
b) Agency name
c) The movie rating system (viz., G, PG, PG-13, etc.)
d) Health rating (0-100) for a restaurant
e) Hurricane level (1-5)
f) Ground wind speed of a hurricane
g) A final exam score for a class
h) Land use classification (such as residential, commercial, mixed use)
i) Drug treatment center name
j) Building permits filed by year
k) Property tax rate (millage)
l) Amount of lead in drinking water
m) Level of government (local, state, federal)
n) Number of visitors to a state park
o) Degree of a felony charge (1st, 2nd, 3rd)
p) Form of municipal government (commission, mayor-council, council-manager)
q) Management level (front, middle, senior)
r) Highest degree of education
s) Average training cost per employee
t) A state government’s bond rating
u) The inflation rate
v) Federal disaster area designation
In: Math
A farmer wants to determine the mean number of eggs produced per month. A sample of 20 chickens shows they produce an average of 20 eggs per month with a sample Standard Deviation of 2 eggs per month. A. What is the point estimate of the population mean ? B. Why is a t distribution necessary? C. What assumptions must be made to use the t distribution? D. What is the value of t for a confidence interval ?e. What is the 95% confidence interval? F. Is it necessary to assume the population mean is 21 eggs? & why or why not ?
In: Math
2. The strength of an association is one of the criteria for evaluating the cause and effect relationship between an exposure and outcome. Which of the following is a measure of the strength of association? (Choose one best answer and PROVIDE RATIONALE). (ONE POINT) A. odds of disease among exposed relative to the prevalence of exposure in the source population B. cumulative incidence among the exposed C. the ratio of odds of exposure among cases to the odds of exposure among the non-cases D. incidence rate among the exposed E. none of the above
In: Math
4. Indicate which variable is the independent and dependent for each pair. If either could be the independent, answer “reciprocal.” If the two variables do not seem related, answer “unrelated.”
a) Property inspections completed, number of inspectors
b) Property tax rate, property value
c) Consumption of ice cream in a month, average daily temperature in a month
d) Satisfaction with local services, voting in a local election
e) Work commute time, time of day
f) Merit pay, work productivity
g) Flu cases per capita, average age of population
h) Road miles constructed, number of commuters
i) Husband’s income, wife’s income
j) Visitors to a state park, visitors to a nearby national park
k) Season of the year, number of animals dropped at a shelter
l) Drop-out rate from high school, teenage pregnancy rate
m) Donations to a local ballet, Sales tax rate
In: Math
Have to answer a lab question on confidence intervals in health sciences. In using confidence intervals to make a decision or solve a problem in my job (nursing), or a life situation, include the following elements: Description of the problem or decision, how the interval would impact the decision and what level of confidence would be the most appropriate and why, and what data would be collected and how would you collect the data?
In: Math
5. The table below shows actual temperatures and predicted temperatures for San Antonio from August 01 through 15th. | ||||||||||
https://www.accuweather.com/en/us/san-antonio-tx/78205/august-weather/351198 | ||||||||||
Day | Temperature | |||||||||
1 | 100 | |||||||||
2 | 100 | |||||||||
3 | 99 | |||||||||
4 | 98 | |||||||||
5 | 101 | |||||||||
6 | 100 | |||||||||
7 | 101 | |||||||||
8 | 102 | |||||||||
9 | 103 | |||||||||
10 | 103 | |||||||||
11 | 104 | |||||||||
12 | 104 | |||||||||
13 | 104 | |||||||||
14 | 103 | |||||||||
15 | 100 | |||||||||
a. Decide which variable should be the independent variable and which should be the dependent variable. | ||||||||||
b. Draw a chart for the data. Make sure to show the equation and the r-squared on the chart. | ||||||||||
c. Does it appear from inspection that there is a relationship between the variables? Why or why not? | ||||||||||
d. Calculate the least-squares line. Put the equation in the form of: ŷ = a + bx | ||||||||||
e. Find the correlation coefficient. Is it significant? | ||||||||||
f. Does it appear that a line is the best way to fit the data? Why or why not? | ||||||||||
g. Are there any outliers in the data? Which ones? | ||||||||||
h. Use the least squares line to estimate what will be be the temperature for August 16, 17 and 18. | ||||||||||
16-Aug | 17-Aug | 18-Aug | ||||||||
i. Do you believe the answers above are reasonable? Why or why not? | ||||||||||
j. What is the slope of the least-squares (best-fit) line? Interpret the slope. | ||||||||||
In: Math
An investigation of past consumer surveys done by a company reveals that 2/3 of customers contacted respond to the survey. The marketing manager wants to do a new survey and plans to contact 198 customers.
(a) How many responses should the manager expect to receive?
(b) Give an approximation of the probability that 140 or more customers will respond.
(c) Give an approximation of the probability that 135 to 150 customers will respond.
(d) Give an approximation of the probability that 130 or less customers will respond.
(e) Compare your approximate answers with the exact probability values obtained on Excel.
In: Math
Consider a sample space with 3 A’s and 2 B’s. Assume that each sample point is equally likely to be selected.
(a) What is the probability that a randomly selected set of 2 items will include all B’s?
(b) What is the probability that a randomly selected set of 3 items will include all A’s? 1
(c) What is the probability that a randomly selected set of 2 items will include 1 A and 1 B?
(d) What is the probability that a randomly selected set of 3 items will include 2 A’s and 1 B?
In: Math
A random sample is selected from a population with mean μ = 102 and standard deviation σ = 10. Determine the mean and standard deviation of the x sampling distribution for each of the following sample sizes. (Round the answers to three decimal places.)
(a) n = 11
μ =
σ =
(b) n = 14
μ =
σ =
(c) n = 37
μ =
σ =
(d) n = 65
μ =
σ =
(f) n = 130
μ =
σ =
(e) n = 520
μ =
σ =
In: Math
4. I have reviewed the midterm grades, and I am trying to predict how well the class will do on the final exam. The frequency values are actual grades for the Summer II midterm: | |||||||
Grade | Expected | Frequency (Observed) | |||||
Greater than A | 5 | 7 | |||||
A | 6 | 9 | |||||
B | 8 | 4 | |||||
C | 3 | 4 | |||||
D | 1 | 0 | |||||
F | 2 | 1 |
a. What will be my degrees of freedom? | ||||
b. What is O-E (difference) for grades of B? | ||||
c. What is O-E^2 for grades of A? | ||||
d. What is (O-E)^2/E for grades of F? | ||||
e. What is O-E (difference) for grades of B? | ||||
f. What is the chi square (χ2) test statistic? | ||||
g. What is the p-value? | ||||
h. At the 5% significance level, what is your decision? | ||||
i. What is the reason for the decision? | ||||
j. What is the conclusion in full sentences? | ||||
In: Math
Data collected by a price reporting agency from more than 90,000 gasoline and convenience stores throughout the U.S. showed that the average price for a gallon of unleaded gasoline was $3.28. The following data show the price per gallon ($) for a sample of 20 gasoline and convenience stores located in San Francisco.
3.59 | 3.59 | 4.59 | 3.76 | 3.75 | 3.71 | 3.65 | 3.80 | 3.55 | 3.36 |
3.57 | 3.79 | 3.55 | 4.19 | 3.95 | 3.46 | 3.83 | 3.93 | 3.41 | 3.37 |
a) Use the sample data to estimate the mean price for a gallon of unleaded gasoline in San Francisco.
b) Compute the sample standard deviation. (Round your answer to the nearest cent.)
c) Compare the mean price per gallon for the sample data to the national average price. What conclusions can you draw about the cost of living in San Francisco?
The average price for a gallon of unleaded gasoline in San Francisco is ---Select--- higher than lower than same as the national average. This indicates that the cost of living in San Francisco is ---Select--- higher than lower than same as it would be for cities that have an average price close to the national average.
In: Math
Find the indicated probabilities using a standard normal
distribution
a. P(Z < 1.85)
b. P(Z < -1.54 or Z > 1.54)
In: Math
The data below are yields for two different types of corn seed that were used on adjacent plots of land. Assume that the data are simple random samples and that the differences have a distribution that is approximately normal. Construct a 95% confidence interval estimate of the difference between type 1 and type 2 yields. What does the confidence interval suggest about farmer Joe's claim that type 1 seed is better than type 2 seed? Type 1 1988 2014 2190 2478 2208 1983 2258 1504 Type 2 2012 1919 2099 2437 2167 1911 2179 1444 In this example, mu Subscript d is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the type 1 seed yield minus the type 2 seed yield. The 95% confidence interval is 24.66 less thanmu Subscript dless than89.09 . (Round to two decimal places as needed.) What does the confidence interval suggest about farmer Joe's claim that type 1 seed is better than type 2 seed? A. Because the confidence interval only includes positive values and does not include zero, there is sufficient evidence to support farmer Joe's claim. This is the correct answer. B. Because the confidence interval includes zero, there is sufficient evidence to support farmer Joe's claim. C. Because the confidence interval only includes positive values and does not include zero, there is not sufficient evidence to support farmer Joe's claim. Your answer is not correct. D. Because the confidence interval includes zero, there is not sufficient evidence to support farmer Joe's claim.
In: Math