The owner of a restaurant that serves Continental-style entrées has the business objective of learning more about the patterns of patron demand during the Friday-to-Sunday weekend time period. She decided to study the demand for dessert during this time period. In addition to studying whether a dessert was ordered, she will study the gender of the individual and whether a beef entrée was ordered. Data were collected from 630 customers and organized in the following contingency tables:
Gender |
|||
Dessert Ordered |
Male |
Female |
Total |
Yes |
50 |
96 |
146 |
No |
250 |
234 |
484 |
Total |
300 |
330 |
630 |
Beef Entree |
|||
Dessert Ordered |
Yes |
No |
Total |
Yes |
74 |
68 |
142 |
No |
123 |
365 |
488 |
Total |
197 |
433 |
630 |
At the 0.05 level of significance, is there evidence of a difference between males and females in the proportion who order dessert?
At the 0.05 level of significance, is there evidence of a difference in the proportion who order dessert based on whether a beef entrée has been ordered?
In: Statistics and Probability
Deluxe River Cruises operates a fleet of river vessels. The fleet has two types of
vessels: A type A vessel has 60 deluxe cabins and 160 standard cabins, whereas a type B vessel has 80 deluxe
cabins and 120 standard cabins. Under a charter agreement with the Odyssey Travel Agency, Deluxe River
Cruise sis to provide Odyssey with a minimum of 360 deluxe and 680 standard cabins for their 15-day cruise
in May. It costs $44000 to operate a type A vessel and $54000 to operate a type B vessel for that period.
i.) How many of each type of vessel should be used to keep the operating costs to a minimum?
ii.) Find the range of values that the cost of operating a type A vessel can assume without changing the
optimal solution.
iii.) Find the range of values that the requirement for deluxe cabins can assume.
iv.) Find the shadow price for the requirement for deluxe cabins.
In: Statistics and Probability
3. Write a Matlab script that describes the dynamics of Pressure and Flow in the systemic arteries and Left Ventricle. Assume that :
1) Pressure in the Left atrium (PLA) and in the Systemic Veins (Psv) remain constant.
2) A time dependent LV compliance
3) Opening/Closing of the heart valves instantaneously with the direction of flow (i.e. valves are at an open or closed states. Use parameter values from the handout.
In: Statistics and Probability
Adults aged 18 years old and older were randomly selected for a survey on obesity. Adults are considered obese if their body mass index (BMI) is at least 30. The researchers wanted to determine if the proportion of women in the south who are obese is less than the proportion of southern men who are obese. The results are shown in the table below.
# who are obese | sample size | |
Men | 42,769 | 155,525 |
Women | 67,169 | 248,775 |
At the1% level of significance, is there evidence to support the claim? Explain.
work must include
1. Clear statement of hypotheses, with the correct
parameter(s)
2. An indication of the test used
3. The test statistic and p-value
4. An indication of the statistical decision (i.e. whether or not
to reject Ho)
along with an explanation.
5. An interpretation of the statistical decision in the context of
the problem.
In: Statistics and Probability
A hamburger chain sells large hamburgers. When we take a sample of 40 hamburgers and weigh them, we find that the mean is 0.52 pounds and the standard deviation is 0.3 pound.
Technology Output N 40 Mean 0.52 STDEV. 0.3000 One-Sample T SE Mean 0.0474 95% CI (0.4241, 0.61590)
a. A technology input menu for calculating a confidence interval requires a sample size, a sample mean, and a sample standard deviation. State how you would fill in these numbers.
Sample Size: Answer ____ Sample Mean: Answer ____ Standard Deviation: Answer _____ (Type an integer or a decimal do not round)
b. Choose the correct interpretation of the confidence interval below and fill in the answer boxes to complete your choice. (Round to four decimal places as needed. Use ascending order.) Using the accompanying technology output, report the confidence interval in a carefully worded sentence.
A.We are 95% confident that the population mean is between Answer ___ and ___.
B.There is a 95% probability that the recorded sample mean is between Answer ___ and ___.
C.There is a 95% probability that the population mean is between Answer ___ and ___.
D.We are 95% confident that the recorded sample mean is between Answer ___ and ___.
In: Statistics and Probability
In: Statistics and Probability
Subject Vocal Instrumental
1 18 13
2 13 9
3 22 17
4 9 13
5 10 10
6 18 14
7 16 21
8 18 11
9 8 5
10 19 13
11 22 16
12 16 11
13 25 19
14 20 15
15 9 7
Independent variable/s:
Levels of independent variable/s:
Dependent variable/s:
Test to use:
Does the type of background music affect the number of trials needed to learn a list of words?
Value of YOUR test statistic (from your print-out):
p-value from test:
Show all steps with answers so I can understand! Thanks
In: Statistics and Probability
Indicator variables are useful under which of the following conditions:
a. |
Some observations have a particular characteristic or attribute while others do not |
b. |
An individual may not wish to disclose the exact value (for example, age) and may prefer to express a category in which he/she falls (for example, age range) |
c. |
End users may wish to know whether differences exist between binary (for example, employed vs. unemployed) or categorical (first year employees, 2-4 year employees, 4-7 year employees, more than 7 year employees) groups |
d. |
B and C only. |
e. |
All of the above. |
In: Statistics and Probability
A random sample of 324 medical doctors showed that 178 had a solo practice.
(b) Find a 98% confidence interval for p. (Use 3 decimal places.)
lower limit | |
upper limit |
What is the margin of error based on a 98% confidence interval? (Use 3 decimal places.)
In: Statistics and Probability
In: Statistics and Probability
The housing market has recovered slowly from the economic crisis of 2008. Recently, in one large community, realtors randomly sampled 2626 bids from potential buyers to estimate the average loss in home value. The sample showed the average loss was $87208720 with a standard deviation of $17551755. Complete parts a and b below.
b) Find a 90% confidence interval for the mean loss in value per home.
($nothing , $nothing)
In: Statistics and Probability
To assess a cola video ad, a random sample of 38 individuals from a target audience was selected to participate in a copy test. Participants viewed two ads, one of which was the ad being tested. Participants then answered a series of questions about how much they liked the ads. An adindex measure was created and stored in Adindex; the higher the adindex value, the more likeable the ad. Compute descriptive statistics and perform an appropriate test to determine if there is a difference between the two ads. State your hypotheses, your findings and conclusions in a report. (Use the 0.05 level of significance.)
Respondent |
Cola A Adindex |
Cola B Adindex |
1 |
12 |
21 |
2 |
24 |
24 |
3 |
18 |
18 |
4 |
12 |
15 |
5 |
21 |
18 |
6 |
12 |
18 |
7 |
15 |
21 |
8 |
24 |
24 |
9 |
9 |
18 |
10 |
9 |
21 |
11 |
24 |
18 |
12 |
18 |
27 |
13 |
18 |
9 |
14 |
24 |
21 |
15 |
27 |
18 |
16 |
18 |
15 |
17 |
9 |
15 |
18 |
15 |
30 |
19 |
21 |
18 |
20 |
15 |
24 |
21 |
24 |
30 |
22 |
21 |
27 |
23 |
6 |
21 |
24 |
24 |
27 |
25 |
15 |
15 |
26 |
15 |
24 |
27 |
12 |
21 |
28 |
21 |
21 |
29 |
15 |
21 |
30 |
18 |
12 |
31 |
21 |
18 |
32 |
21 |
27 |
33 |
21 |
24 |
34 |
30 |
24 |
35 |
27 |
30 |
36 |
24 |
27 |
37 |
15 |
27 |
38 |
30 |
21 |
In: Statistics and Probability
Purpose: To ensure that you can get StatCrunch up and running, download and open a data file, create graphical and numeric output, and transfer the output into Word.
here
here.
In: Statistics and Probability
For the next 4 questions, please read the description below.
A marketing company wants to know the mean price of new vehicles sold in an up-and‑coming area of town. Marketing strategists takes a simple random sample of 756 cars, and find that the sample has a mean of $27,400 and a standard deviation of $1300.
1. Assume that the population standard deviation is unknown. What is the error of estimate for a 95% confidence interval?
2. Assume that the population standard deviation is known to be $1500. What is the upper bound for a 98% confidence interval?
3. Assume that the population standard deviation is known to be $1500. Find the error of estimate for a 99% confidence interval.
4. Assume that the population standard deviation is known. If the marketing strategists want the 90% confidence interval to be within $50 of the population mean, how many cars at minimum should they sample?
In: Statistics and Probability
A random sample of 5562 physicians in Colorado showed that 3062 provided at least some charity care (i.e., treated poor people at no cost).
(a) Let p represent the proportion of all Colorado physicians who provide some charity care. Find a point estimate for p. (Round your answer to four decimal places.)
(b) Find a 99% confidence interval for p. (Round your answers to three decimal places.) lower limit and upper limit
In a survey of 1000 large corporations, 256 said that, given a choice between a job candidate who smokes and an equally qualified nonsmoker, the nonsmoker would get the job.
(c) Let p represent the proportion of all corporations preferring a nonsmoking candidate. Find a point estimate for p. (Round your answer to four decimal places.)
(d)Find a 0.95 confidence interval for p. (Round your answers to three decimal places.)
lower limit | |
upper limit |
and
What is the margin of error based on a 95% confidence interval? (Round your answer to three decimal places.)
In: Statistics and Probability