the following are the monthly sales (in thousands of dollars) for a company in four regions of the country.
|
North |
East |
South |
West |
|
34 28 18 24 |
47 36 30 38 44 |
40 30 41 29 |
21 30 24 37 23 |
Does the data suggest that there is a difference in the mean monthly sales among the different regions?
In: Statistics and Probability
1)
Identify the class width for the given Frequency Distribution Table
List -------------Frequency
10 to 14 -------------27
15 to 19 -------------35
20 to 24 -------------14
25 to 29 --------------2
30 to 34 --------------4
35 to 39 --------------2
40 to 44 --------------1
2)
Which measurement is the most accurate?
Mode
Mean
Range
Median
In: Statistics and Probability
Calculate the present value of the following amounts assuming that the cash flow is received at the end of each specified period: 211
| Situation | Cash Flow | Discount rate | End of period( pear year) | Frequency |
| A | $15,000 | 10% | 8 | Bimonthly |
| B | $20,000 | 13% | 12 | Semiannual |
| C | $6,000 | 9% | 10 | Quarterly |
| D | $50,000 | 7% | 50 | Annual |
| E | $8,500 | 7% | 15 | Quarterly |
I appreciate if you can explain me step by step. Thank you.
In: Finance
Write a one-page essay on customer expectations. What are customers’ expectations when they walk into these places of business?
Choose any two:
Furniture store
Restaurant
Medical clinic
Pharmacy
Convenience store (e.g. 7-Eleven)
Reference your own experience and material from the text. Remember that spelling and grammar are important.
In: Accounting
Some five courses are offered on campus in a semester. The group of students who take at least one of these courses consists of 155 students. There are 80 students registered in each course. For any two among these courses, there are precisely 40 students who take both of them. For any three of these courses, there are precisely 20 students who take all three of them. For any four among these courses, there are precisely 10 students who take every one of these four courses. How many students in this group take every one among the five courses in this memorable semester?
In: Statistics and Probability
Identifying individuals with a high risk of Alzheimer’s disease usually involves a long series of cognitive tests. However, researchers have developed a 7-Minute Screen, which is a quick and easy way to accomplish the same goal. The question is whether the 7-Minute Screen is as effective as the complete series of tests. To address this question, Ijuin et al. (2008) administered both tests to a group of patients and compared the results. The following data represent results similar to those obtained in the study.
|
Patient |
7-Minute Screen |
Cognitive Series |
|
|
A |
3 |
11 |
|
|
B |
8 |
19 |
|
|
C |
10 |
22 |
|
|
D |
8 |
20 |
|
|
E |
4 |
14 |
|
|
F |
7 |
13 |
|
|
G |
4 |
9 |
|
|
H |
5 |
20 |
|
|
I |
14 |
25 |
|
A. Compute the Pearson Correlation Coefficient for these data.
r =
B. The correlation is
Medium and negative
Large and negative
Large and positive
Medium and positive
C. The null hypothesis for a two-tailed test is
The correlation between the scores on the 7-minute screen test and the scores on the cognitive series is significant
The correlation between the scores on the 7-minute screen test and the scores on the cognitive series is not significant
The correlation between the scores on the 7-minute screen test and the scores on the cognitive series is less than zero
The correlation between the scores on the 7-minute screen test and the scores on the cognitive series is different from zero
D. If we use a two-tailed test with α = .01, the critical r values are:
±0.666
±0.582
±0.798
±0.750
E. Your decision is:
Reject the null hypothesis and conclude that there is a significant correlation between the scores on the 7-minute screen test and the scores on the cognitive series
Fail to reject the null hypothesis and conclude that there is a significant correlation between the scores on the 7-minute screen test and the scores on the cognitive series
Reject the null hypothesis and conclude that there is no significant correlation between the scores on the 7-minute screen test and the scores on the cognitive series
Fail to reject the null hypothesis and conclude that there is no significant correlation between the scores on the 7-minute screen test and the scores on the cognitive series
In: Statistics and Probability
A random sample of eight drivers insured with a company and having similar auto insurance policies was selected. The following table lists their driving experiences (in years) and monthly auto insurance premiums.
| Driving Experience (years) | Monthly Auto Insurance Premium $ |
| 5 | 64 |
| 2 | 87 |
| 12 | 50 |
| 9 | 71 |
| 15 | 44 |
| 6 | 56 |
| 25 | 42 |
| 16 | 60 |
a. Does the insurance premium depend on the driving experience or does the driving experience depend on the insurance premium? Do you expect a positive or a negative relationship between these two variables?
b. Compute SSxx, SSyy, and SSxy.
c. Find the least squares regression line by choosing appropriate dependent and independent variables based on your answer in part a.
d. Interpret the meaning of the values of a and b calculated in
part c.
e. Plot the scatter diagram and the regression line.
f. Calculate r and r2 and explain what they mean.
g. Predict the monthly auto insurance premium for a driver with 10
years of driving experience. h. Compute the standard deviation of
errors.
In: Statistics and Probability
For each exercise, answer the following along with any additional questions. Assume group variances are equal (unless the problem is ran via statistical software). | Provide the null and alternative hypotheses in formal and plain language for appropriate two-tailed test (viz., dependent or independent) at the 0.05 significance level Do the math and reject/accept null at a=.05. State your critical t value. Explain the results in plain language. Calculate the 95% confidence interval for the difference in means and state both formally and in plain language if appropriate.
Home Harvest, a local homeless support charity in the northeastern U.S. traditionally mails donation requests to previous donors in the last five years around Thanksgiving. A board member suggests e-mail might be more efficient and cheaper but there is concern an email would be seen as less personal and accrue lower donations. Home Harvest takes a random sample of sixteen regular personal donors (viz., have donated each of the last three years). Six receive an e-mail and eleven a letter for the next Thanksgiving. Donations in dollars are as follows:
E-mail: 40, 0, 60, 40, 70, 0
Letter: 110, 550, 120, 650, 0, 100, 120, 20, 110, 110, 100
In: Statistics and Probability
A team of sports scientists want to know if having a dietitian as part of the staff is better at producing divisional basketball champions than current ad-libitum (as desired) nutritional practices. Of the ad-libitum, 12 were champions and 18 were non-champions. Of the dietician-tailored, 7 were champions and 8 were non-champtions. What can they conclude?
Choose the most correct answer.
Select one:
a. After performing a 2 x 2 chi square test, no significant difference between champion and non-champion basketball teams was found between the two dietary approaches (χ2 = 0.18, df = 1, p < .05).
b. After performing a 2 x 2 chi square test, no significant difference between champion and non-champion basketball teams was found between the two dietary approaches (χ2 = 0.18, df = 1, p > .05).
c. After performing a 2 x 2 chi square test, no significant difference between champion and non-champion basketball teams was found between the two dietary approaches (χ2 = 0.01, df = 1, p < .05).
d. After performing a 2 x 2 chi square test, a significant difference between champion and non-champion basketball teams was found between the two dietary approaches (χ2 = 0.01, df = 1, p < .05).
e. After performing a 2 x 2 chi square test, a significant difference between champion and non-champion basketball teams was found between the two dietary approaches (χ2 = 3.84, df = 1, p < .05).
In: Statistics and Probability
The random sample shown below was selected from a normal distribution.
1010,
44,
77,
66,
77,
22
Complete parts a and b.
a. Construct a
9595%
confidence interval for the population mean
muμ.
left parenthesis nothing comma nothing right parenthesis3.113.11,8.898.89
(Round to two decimal places as needed.)b. Assume that sample mean
x overbarx
and sample standard deviation
ss
remain exactly the same as those you just calculated but that are based on a sample of
nnequals=2525
observations. Repeat part a. What is the effect of increasing the sample size on the width of the confidence intervals?The confidence interval is
left parenthesis nothing comma nothing right parenthesisnothing,nothing.
(Round to two decimal places as needed.)
In: Statistics and Probability