Find the power for a difference in means of 2.79 using 95% and 99% confidence intervals.
[11.540 8.203 8.214 13.165 11.451 13.015 11.060 10.488 8.849 8.271]
[4.708 8.013 9.886 7.026 6.051 5.546 7.914 9.951 9.880 7.381]
In: Math
Dorothy purchases a 1000 par value 10-year bond with 9% semiannual coupons for 925. She has found a place to invest her coupons at a nominal rate of 7% convertible semiannually. Calculate her nominal annual yield rate convertible semiannually over the ten-year period .
A. |
8.1% |
|
B. |
9.6% |
|
C. |
10.2% |
|
D. |
9.4% |
|
E. |
9.2% |
In: Math
A 30-year annuity has end-of-month payments. The first year the payments are $120 each. In subsequent years the monthly payment increases by $5 over what it was the previous year.
Find the accumulated value of this annuity if AEIR=3%
A. |
84,820 |
|
B. |
42,390 |
|
C. |
105,070 |
|
D. |
100,620 |
|
E. |
41,560 |
In: Math
The Stanford-Binet IQ test is nationally normed with a mean of 100 and a standard deviation of 15. A principal in an elementary school believes that her students have above-average intelligence and wants verification of her belief. She randomly selects 20 students and checks the student files. You will use a z-test to determine whether the students in this school have above-average intelligence and will summarize your findings in a report.
IQ scores for 20 students are found in the Excel spreadsheet.
n |
20 |
Hypothesized Mean |
100 |
Actual Data Mean |
106.85 |
z Test Statistic |
2.042 |
Standard deviation |
19.88 |
p value for two-sided |
0.0411 |
p value for a right-sided |
0.0206 |
p value for a left-sided |
0.9794 |
Using the results above and the data in the Excel spreadsheet, write a complete hypothesis test report,using the α = .05 significance level. To determine the proper p-value for this test, refer to the summary of the case.
Note how you are being provided all three p-values (two-sided, right one-sided, left-one sided). Once you determine the Ho and Ha, you will be able to determine which p-value is appropriate for the test.
You must develop the case study by including all 7 steps of hypothesis testing. I expect complete sentences and not only results (assumptions, hypothesis, sample statistic values, the test statistic, the p-value, conclusions in the context of the problem).
You are also required to include a graphical display of the data above in a bell curve shaped graph labeled properly. The case will be graded based on choosing the correct Ho and Ha testing and complete answers.
n | 20 |
Hypothesized Mean | 100 |
Mean | 106.85 |
z Test Statistic | 2.042 |
Standard deviation | 19.88 |
p value for two-sided | 0.0411 |
p value for a right-sided | 0.0206 |
p value for a left-sided | 0.9795 |
Student Name | IQ |
Kathy | 110 |
Mike | 132 |
Adam | 98 |
Celia | 97 |
Christina | 115 |
Aaron | 145 |
Elaine | 77 |
Jesse | 130 |
Sam | 114 |
Nikki | 128 |
Amanda | 89 |
Steve | 101 |
Jason | 92 |
Tabitha | 85 |
Mindy | 112 |
Drew | 79 |
Shalija | 139 |
Samir | 102 |
Robert | 103 |
Tiffany | 89 |
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
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
. A lower proportion of males ages 25 to 44 visited the gym than the proportion of males ages 45 to 64. The table below provides the numbers by age group. Test at the 2% level of signifcance. | ||||||||
25 - 44 | 45 - 64 | |||||||
Visited the gym | 7 | 33 | ||||||
Did not visit the gym | 9 | 50 | ||||||
a. State the Null Hypothesis | ||||||||
b. State the Alternative Hypothesis | ||||||||
c. Is this a right-tailet, left-tailed or a two-tailed test? | ||||||||
d. State the distribution to use for the test | ||||||||
e. What is the test statistic (z value)? | ||||||||
f. What is the p value? | ||||||||
g. At 95% what is my significance level (alpha): | ||||||||
h. Decision: | ||||||||
i. Reason for decision: | ||||||||
j. Conclusion: |
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
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. Question is complete. Tap on the red indicators to see incorrect answers. All parts showing
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
Most scientists use the p<.05 criterion to determine if their findings are significant. Describe cases where you would prefer them to be more lenient (e.g., p<.10) or cases where you prefer them to be more cautious (e.g., p<.01).
In: Math
Exercise 5.4
Refer back to exercise 2.2. Suppose that you fit the model to 20
data points and found that your F – value for testing the model is
useful is 49.75.
Exercise 2.2
A hotel manager is concerned about hotel room rates for a large
chain of hotels. The variables to be used in this research is
defined as follows:
Y = the daily rate of a room
X1 = the population of the city
X2 = the rating of the hotel (1 star to 5 stars)
X3 = the number of rooms in the hotel
X4 = the number of hotels in the city
Answer the following:
A.) Now conduct the F-test for model utility.
B.) In exercise 5.4, what is the conclusion?
a. |
the model is not useful |
|
b. |
the model is useful |
|
c. |
the results are inconclusive |
In: Math
Percentage |
Cooking |
Time 3.0 hrs. |
Cooking |
Time 4.0 hrs |
|||
of Hardwood |
Pressure |
Pressure |
|||||
Concentration |
400 |
500 |
650 |
400 |
500 |
650 |
|
2 |
196.6 |
197.7 |
199.8 |
198.4 |
199.6 |
200.6 |
|
196.0 |
196.0 |
199.4 |
198.6 |
200.4 |
200.9 |
||
4 |
198.5 |
196.0 |
198.4 |
197.5 |
198.7 |
199.6 |
|
197.2 |
196.9 |
197.6 |
198.1 |
198.0 |
199.0 |
||
8 |
197.5 |
195.6 |
197.4 |
197.6 |
197.0 |
198.5 |
|
196.6 |
196.2 |
198.1 |
198.4 |
197.8 |
199.8 |
In: Math
1. A university asked 10 graduate students how many hours of homework they were planning to do that week. Here are their responses:
14 13 15 21 19 24 25 28 25 31
A. What's the mean number of hours of homework done by the students per week? What is the median? Why are these figures different?
B. What is the range of data?
C. Is the data skewed? If so, in what direction? How do you know?
Please show all calculations. Also please show all calculations in typing rather than writing. Thank you kindly.
In: Math
The Australian Banking Association conducts a survey every five years into the status of women in the banking industry, including aspects relating to working hours. In the 1997 survey, which incorporated 705 respondents, 211 reported working more than 50 hours per week. Of the 620 respondents to the 2002 survey, 224 reported to be working in excess of 50 hours per week. The Australian Bankers Association is interested if there has been any change in work patterns and wished to test this proposition at the 10% level of significance.
1. If the hypotheses
are written in the form of the proportion in 1997 minus the
proportion in 2002, state the direction of the alternative
hypothesis used to test whether there has been a change in
attitudes. Type gt (greater than), ge (greater than or equal to),
lt (less than), le (less than or equal to) or ne (not equal to) as
appropriate in the box
2. Calculate the test statistic for the Z test correct to two
decimal places.
3. Use the tables in the text to determine the critical value used
to conduct the test. If there are two critical values, state only
the upper value.
4. Is the null hypothesis rejected for this test? Type yes or
no.
5. Hence, on the basis of this test, does there appear to have been
a change in the working patterns of women in the banking industry?
Type yes or no.
In: Math