Let x be a random variable that represents the percentage
of successful free throws a professional basketball player makes in
a season. Let y be a random variable that represents the
percentage of successful field goals a professional basketball
player makes in a season. A random sample of n = 6
professional basketball players gave the following information.
| x | 67 | 65 | 75 | 86 | 73 | 73 |
| y | 42 | 40 | 48 | 51 | 44 | 51 |
(c) Verify that Se ≈ 3.0468, a ≈ 8.188, b ≈ 0.5168, and x ≈ 73.167.
| Se | = |
(e) Find a 90% confidence interval for y when x = 83. (Round your answers to one decimal place.)
| lower limit | % |
| upper limit | % |
(f) Use a 5% level of significance to test the claim that
β > 0. (Round your answers to two decimal places.)
| t | |
| critical t |
In: Math
A firm has a current dividend D0 = $1. Analysts expect the firm’s dividend to grow by 20% this year, by 15% in year 2, and a constant rate of 5% in year 3 and thereafter. The required return is 20%. What is the current price of the stock?
$8.67
$9.26
$10.32
$11.04
A firm is planning its operations for next year. Data for use in the forecast are shown below. Based on the EFN equation, what is the required amount?
Last year’s sales S0 = $350
Sales growth rate g = 30%
Last year’s total assets A0 = $500
Last year’s profit margin M = 5%
Last year’s accounts payable = $40
Last year’s notes payable to bank = $50
Last year’s accruals = $30
Target payout ratio = 60%
____
$102.80
$108.20
$113.90
$119.90
A firm is planning its operations for next year. Data for use in the forecast are shown below. Use this expression EFN = A*/S0(?S) – L*/S0(?S) - mS1(RR) to determine the required amount of external funds. State the relevant assumption imposed on the analysis.
Last year’s sales S0 = $350
Sales growth rate g = 30%
Last year’s total assets A0 = $500
Last year’s profit margin m = 7.5%
Last year’s accounts payable = $40
Last year’s notes payable to bank = $50
Last year’s accruals = $30
Target payout ratio = 55%
In: Finance
COVID -19 changed our lifestyles in so many different ways. Due to safety concerns, suddenly everyone wants to wear face masks. However, as the suppliers fail to keep up with the demand, one option is to use homemade facemasks.
According to the crafting experts, one adult mask requires two 9" x 6" pieces of tight-weave cotton and two 7" pieces of elastic. The elastic only sold in full yards.
Write a program that reads the length (in yards) and width (in inches) of a piece of fabric from the user and displays the following.
For example,
Notes:
In: Computer Science
Match the type of genetic cross to the expected Mendelian ratios that would result.
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In: Biology
The ________ method to settle claims is based on the current replacement cost of a damaged or lost item less depreciation.
Question 5 options:
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tax credit of $50 for a person in a 28 percent tax bracket would reduce a person's taxes owed by:
Question 6 options:
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A taxpayer with a taxable income of $47,856 and a total tax bill of $5,889 would have an average tax rate of ________ percent.
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George Washburn had earnings from his salary of $34,000, interest on savings of $800, a contribution to a traditional individual retirement account of $1,500, and dividends from mutual funds of $600. George's adjusted income would be:
Question 8 options:
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In: Finance
| Lawyer | Nurse | Teacher | Control | |
| 8 | 6 | 9 | 8 | |
| 5 | 7 | 6 | 7 | |
| 7 | 6 | 8 | 6 | |
| 7 | 8 | 8 | 7 | |
| 4 | 9 | 7 | 9 |
A researcher is interested in whether the likeability of a crying woman is affected by the viewer’s knowledge of the woman’s occupation. Twenty participants were shown a video of a woman crying and were asked to rate her likeability on a scale from 1 (not very likable) to 10 (highly likable). Prior to viewing the video, participants were told that the woman was either a lawyer, a nurse, a teacher, or they were not told anything about her occupation (control condition).
(a) State the null and research hypotheses. (b) Calculate the appropriate test statistic. (c) Interpret the test statistics at an alpha level of .05.
**Please show all work and explain!! Thank you!!
In: Math
Use the dependent variable (labeled Y) and one of the independent variables (labeled X1, X2, and X3) in the data file. Select and use one independent variable throughout this analysis. Use Excel to perform the regression and correlation analysis to answer the following.
Generate a scatterplot for the specified dependent variable (Y) and the selected independent variable (X), including the graph of the "best fit" line. Interpret.
Determine the equation of the "best fit" line, which describes the relationship between the dependent variable and the selected independent variable.
Determine the coefficient of correlation. Interpret.
Determine the coefficient of determination. Interpret.
Test the utility of this regression model, represented by a hypothesis test of b=0 using α=0.10. Interpret results, including the p-value.
Based on the findings in steps 1-5, analyze the ability of the independent variable to predict the dependent variable?
Compute the confidence interval for b, using a 95% confidence level. Interpret this interval.
Compute the 99% confidence interval for the dependent variable, for a selected value of the independent variable. Each student can choose a value to use for the independent variable (use same value in the next step). Interpret this interval.
Using the same chosen value for part (8), estimate the 99% prediction interval for the dependent variable. Interpret this interval.
What can be said about the value of the dependent variable for values of the independent variable that are outside the range of the sample values? Explain.
| Sales (Y) | Calls (X1) | Time (X2) | Years (X3) | Type |
| 40 | 144 | 17.4 | 0.00 | NONE |
| 46 | 145 | 16.8 | 0.00 | ONLINE |
| 37 | 152 | 19.8 | 0.00 | NONE |
| 47 | 164 | 15.3 | 0.00 | ONLINE |
| 42 | 135 | 16.1 | 0.00 | NONE |
| 44 | 169 | 8.9 | 0.00 | ONLINE |
| 52 | 173 | 18.6 | 0.00 | ONLINE |
| 53 | 184 | 15.2 | 0.00 | ONLINE |
| 49 | 152 | 22.3 | 0.00 | ONLINE |
| 49 | 166 | 16.2 | 0.00 | ONLINE |
| 45 | 185 | 13.3 | 1.00 | ONLINE |
| 47 | 157 | 14.3 | 1.00 | GROUP |
| 42 | 148 | 16.9 | 1.00 | NONE |
| 43 | 131 | 18.5 | 1.00 | NONE |
| 44 | 150 | 18.4 | 1.00 | NONE |
| 43 | 148 | 15.9 | 1.00 | ONLINE |
| 55 | 189 | 12 | 1.00 | ONLINE |
| 49 | 188 | 20.4 | 1.00 | NONE |
| 51 | 190 | 11.3 | 1.00 | ONLINE |
| 37 | 137 | 18.1 | 1.00 | ONLINE |
| 51 | 167 | 16.2 | 1.00 | ONLINE |
| 37 | 130 | 15.6 | 1.00 | GROUP |
| 37 | 142 | 18.5 | 1.00 | NONE |
| 46 | 153 | 14.1 | 1.00 | ONLINE |
| 39 | 149 | 18.8 | 1.00 | GROUP |
| 46 | 151 | 16 | 1.00 | GROUP |
| 45 | 158 | 13.9 | 1.00 | ONLINE |
| 46 | 172 | 12.5 | 1.00 | ONLINE |
| 47 | 188 | 16.3 | 1.00 | NONE |
| 37 | 148 | 16.2 | 1.00 | GROUP |
| 46 | 162 | 12.1 | 1.00 | GROUP |
| 52 | 177 | 14.5 | 1.00 | ONLINE |
| 48 | 175 | 13.7 | 1.00 | ONLINE |
| 40 | 150 | 10.8 | 1.00 | GROUP |
| 53 | 182 | 10.5 | 1.00 | ONLINE |
| 54 | 197 | 11.8 | 1.00 | ONLINE |
| 46 | 148 | 13.1 | 1.00 | GROUP |
| 41 | 153 | 14.7 | 1.00 | GROUP |
| 44 | 169 | 13.6 | 1.00 | ONLINE |
| 47 | 176 | 14.1 | 2.00 | ONLINE |
| 47 | 183 | 12.8 | 2.00 | ONLINE |
| 48 | 136 | 14.1 | 2.00 | ONLINE |
| 52 | 197 | 13.9 | 2.00 | ONLINE |
| 37 | 120 | 12 | 2.00 | NONE |
| 49 | 184 | 16.7 | 2.00 | ONLINE |
| 43 | 173 | 19.8 | 2.00 | ONLINE |
| 42 | 153 | 15.5 | 2.00 | GROUP |
| 37 | 133 | 19.8 | 2.00 | NONE |
| 42 | 154 | 14.8 | 2.00 | ONLINE |
| 53 | 178 | 13.2 | 2.00 | ONLINE |
| 45 | 138 | 18.9 | 2.00 | NONE |
| 42 | 167 | 18 | 2.00 | NONE |
| 48 | 171 | 13 | 2.00 | GROUP |
| 46 | 162 | 16.2 | 2.00 | ONLINE |
| 49 | 149 | 21.1 | 2.00 | GROUP |
| 48 | 174 | 18.6 | 2.00 | GROUP |
| 45 | 173 | 17.6 | 2.00 | ONLINE |
| 45 | 155 | 18.9 | 2.00 | GROUP |
| 44 | 159 | 18.1 | 2.00 | ONLINE |
| 54 | 174 | 10.8 | 2.00 | NONE |
| 44 | 139 | 15.2 | 2.00 | NONE |
| 41 | 158 | 19.3 | 2.00 | ONLINE |
| 43 | 145 | 18.6 | 2.00 | NONE |
| 47 | 193 | 13.5 | 2.00 | ONLINE |
| 38 | 145 | 17.1 | 2.00 | NONE |
| 50 | 184 | 15.6 | 2.00 | ONLINE |
| 41 | 128 | 15.5 | 2.00 | NONE |
| 45 | 177 | 14.2 | 2.00 | GROUP |
| 49 | 170 | 16.1 | 3.00 | NONE |
| 38 | 122 | 19.3 | 3.00 | GROUP |
| 46 | 171 | 13.6 | 3.00 | GROUP |
| 37 | 148 | 15.7 | 3.00 | GROUP |
| 42 | 167 | 17.7 | 3.00 | ONLINE |
| 44 | 148 | 13.5 | 3.00 | GROUP |
| 45 | 164 | 16.7 | 3.00 | NONE |
| 45 | 146 | 12 | 3.00 | GROUP |
| 48 | 177 | 13.9 | 3.00 | ONLINE |
| 49 | 160 | 13.6 | 3.00 | GROUP |
| 46 | 149 | 17.8 | 3.00 | NONE |
| 45 | 140 | 11 | 3.00 | GROUP |
| 45 | 130 | 20.6 | 3.00 | GROUP |
| 43 | 166 | 17.6 | 3.00 | ONLINE |
| 44 | 188 | 12.9 | 3.00 | GROUP |
| 41 | 157 | 11.5 | 3.00 | ONLINE |
| 41 | 155 | 13.6 | 3.00 | GROUP |
| 43 | 153 | 15.2 | 3.00 | GROUP |
| 37 | 145 | 18 | 3.00 | NONE |
| 34 | 133 | 15.2 | 4.00 | GROUP |
| 51 | 177 | 11.4 | 4.00 | NONE |
| 43 | 169 | 13.3 | 4.00 | NONE |
| 39 | 156 | 13.3 | 4.00 | NONE |
| 40 | 125 | 12.2 | 5.00 | NONE |
| 44 | 182 | 15.5 | 5.00 | NONE |
| 48 | 156 | 15.1 | 4.00 | ONLINE |
| 43 | 148 | 14.5 | 4.00 | ONLINE |
| 39 | 138 | 17.7 | 4.00 | GROUP |
| 42 | 160 | 10.6 | 4.00 | NONE |
| 54 | 180 | 11.8 | 5.00 | GROUP |
| 51 | 167 | 12.6 | 6.00 | ONLINE |
| 48 | 165 | 19.8 | 6.00 | ONLINE |
In: Statistics and Probability
Cardio World Inc. (CWI) is a sporting goods retailer that specializes in bicycles, running shoes, and related clothing. The firm has become successful by careful attention to trends in cycling, running, and changes in the technology and fashion of sport clothing. In recent years, however, the profit margins have begun to fall, and CWI has decided to employ a contribution income statement to further analyze the company’s profitability. The company has two stores, one in Hartford, Connecticut, and the other in Boston, Massachusetts. The total sales for the two stores for the most recent year are $7,010,000 and $5,860,000 for the Hartford and Boston stores, respectively. Both stores are considered profit centers, and within each store are two profit centers: one for clothing and the other for cycle and running shoes (called "cycle & run" below). The breakdown of sales within the two stores is approximately 50% clothing and 50% cycle & run for Boston but is estimated to be 60%/40% for Hartford due to the greater interest in cycling in the Boston area. CWI is interested in finding the profit contribution of clothing and cycle & run at the Hartford store but not at the Boston store.
Cost of purchases for resale averages 60% of retail value at Boston; at Hartford, the cost is 70% for clothing and 50% for cycle & run. Variable operating costs at each store are similar: 30% of retail sales at Boston, and at Hartford, variable operating costs are 25% of retail sales for the clothing unit and 35% for the cycle & run unit. CWI estimates it has a total of $1,175,000 fixed cost, of which $355,000 cannot be traced to either store; of the remaining $820,000, $460,000 is traceable to the stores and controllable by store managers, and $360,000 can be traced to the stores but cannot be controlled in the short term by the store managers. These fixed costs are estimated to be traceable to the stores as follows:
| Fixed Controllable Costs | Percent of Total Cost |
||
| Boston | 45 | % | |
| Hartford total | 45 | ||
| Clothing | 50 | ||
| Cycle & run | 30 | ||
| Could not be traced to clothing or cycling at Hartford | 20 | ||
| Could not be traced to Boston or Hartford | 10 | ||
| Fixed Noncontrollable Costs | Percent of Total Cost |
||
| Boston | 40 | % | |
| Hartford total | 50 | ||
| Clothing | 55 | ||
| Cycle & run | 35 | ||
| Could not be traced to clothing or cycling at Hartford | 10 | ||
| Could not be traced to Boston or Hartford | 10 | ||
Required:
1. Prepare a contribution income statement for CWI showing the contribution margin, controllable margin, and contribution by profit center for both the Boston and Hartford stores, and also for the clothing and cycle & run units of the Hartford store.
In: Accounting
Cardio World Inc. (CWI) is a sporting goods retailer that specializes in bicycles, running shoes, and related clothing. The firm has become successful by careful attention to trends in cycling, running, and changes in the technology and fashion of sport clothing. In recent years, however, the profit margins have begun to fall, and CWI has decided to employ a contribution income statement to further analyze the company’s profitability. The company has two stores, one in Hartford, Connecticut, and the other in Boston, Massachusetts. The total sales for the two stores for the most recent year are $6,955,000 and $5,805,000 for the Hartford and Boston stores, respectively. Both stores are considered profit centers, and within each store are two profit centers: one for clothing and the other for cycle and running shoes (called "cycle & run" below). The breakdown of sales within the two stores is approximately 50% clothing and 50% cycle & run for Boston but is estimated to be 60%/40% for Hartford due to the greater interest in cycling in the Boston area. CWI is interested in finding the profit contribution of clothing and cycle & run at the Hartford store but not at the Boston store.
Cost of purchases for resale averages 60% of retail value at Boston; at Hartford, the cost is 70% for clothing and 50% for cycle & run. Variable operating costs at each store are similar: 30% of retail sales at Boston, and at Hartford, variable operating costs are 25% of retail sales for the clothing unit and 35% for the cycle & run unit. CWI estimates it has a total of $1,175,000 fixed cost, of which $465,000 cannot be traced to either store; of the remaining $710,000, $405,000 is traceable to the stores and controllable by store managers, and $305,000 can be traced to the stores but cannot be controlled in the short term by the store managers. These fixed costs are estimated to be traceable to the stores as follows:
| Fixed Controllable Costs | Percent of Total Cost |
||
| Boston | 45 | % | |
| Hartford total | 45 | ||
| Clothing | 50 | ||
| Cycle & run | 30 | ||
| Could not be traced to clothing or cycling at Hartford | 20 | ||
| Could not be traced to Boston or Hartford | 10 | ||
| Fixed Noncontrollable Costs | Percent of Total Cost |
||
| Boston | 40 | % | |
| Hartford total | 50 | ||
| Clothing | 55 | ||
| Cycle & run | 35 | ||
| Could not be traced to clothing or cycling at Hartford | 10 | ||
| Could not be traced to Boston or Hartford | 10 | ||
Required:
1. Prepare a contribution income statement for CWI showing the contribution margin, controllable margin, and contribution by profit center for both the Boston and Hartford stores, and also for the clothing and cycle & run units of the Hartford store.
In: Accounting
An embedded system incorporates an MSP430F2274 clocked by a
4.096MHz
at 3.3V, driving two seven-segment displays and two discrete LEDs.
The sevensegment
display draws 7.5mA per segment at 1.8V and the discrete LEDs
operate with 10mA each at 1.6V. Three push-buttons are needed for
completing
the user interface. Design a suitable interface to connect all
LEDs,
seven-segments, and push-buttons. Estimate the circuit power
requirements
and recommend a non-regulated power supply and a suitable
regulator.
In: Electrical Engineering