SHOW YOUR WORK IN THE SPACES PROVIDED BELOW FOR FULL CREDIT. a. The total sleep time per night among college students was approximately Normally distributed with mean of 7.4 hours and standard deviation of 0.7 hour. You plan to take an SRS of 50 and compute the average total sleep time. What is the standard deviation for the average time?
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SHOW YOUR WORK IN THE SPACES PROVIDED BELOW FOR FULL CREDIT.
a. The total sleep time per night among college students was approximately
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- Can I get it in step by stepThe following data is the planned rates by type of room: Room Type Rooms Rate Single 40 $ 70.00 Double 100 $ 100.00 The average room rate using a weighted average isSuppose the following data represent the number of persons unemployed for a given number of months in Killeen, Texas. The values in the first column show the number of months unemployed and the values in the second column show the corresponding number of unemployed persons. Let x be a random variable indicating the number of months a randomly selected person is unemployed. Use the data to develop an empirical discrete probability distribution for x. Show that your probability distribution satisfies the conditions for a valid discrete probability distribution. What is the probability that a person is unemployed for two months or less? Unemployed for more than two months? What is the probability that a person is unemployed for more than six months?
- Complete each requirement on a separate worksheet. Each requirement must have a user input section. Makeup and enter your own numbers for the user inputs for each requirement. Requirements: 1. Create a user input section for the user to input the annual effective interest rate and number of periods per year. Calculate the annual nominal interest rate. 2. The user can invest money at the end of each year. Create a user input section for the user to input the amount that they will invest at the end of each year. Using an annual interest rate of 9%, how much will the user have at the end of 7 years? 3. The user wants to save money to buy a new car 10 years from today. The new car will cost $125,000. Create a user input section for the user to input the amount that they can invest at the beginning of each year. What annual interest rate will they need to earn to have enough cash to buy the car 10 years from today? 4. The user wants to save $60,000.00 for a once in a lifetime…Suppose you open a credit card account and charge $150 to the account on the first of each month to pay for your cable and Internet subscription. You plan to pay just the minimum payment each month for the first 6 months (until your summer job starts). The APR is 18.99% and the minimum payment is 6.5% of the balance. Use Excel to fill in the values in the table below and answer the questions that follow. Month — 23 5 6 1 4 7 Starting Balance $0 New Purchases $150 $150 $150 $150 $150 $150 XXX Balance + Purchases $150 XXX Finance New Charge Balance XXX Express your answers rounded to the nearest cent. (a) What is the starting balance at the beginning of the 7th month? $ (b) What is the starting balance at the beginning of the 4th month? $ (c) Your total finance charge is what percent of your total payments? XXX Minimum Payment XXXA sociologist was hired by a large city hospital to investigate the relationship between the number of unauthorized days that employees are absent per year and the distance (miles) between home and work for the employees. A sample of 10 employees was chosen, and the following data were collected. a. Develop a scatter chart for these data. Does a linear relationship appear reasonable? Explain. b. Use the data to develop an estimated regression equation that could be used to predict the number of days absent given the distance to work. What is the estimated regression model? c. What is the 99% confidence interval for the regression parameter 1? Based on this interval, what conclusion can you make about the hypotheses that the regression parameter 1 is equal to zero? d. What is the 99% confidence interval for the regression parameter 0? Based on this interval, what conclusion can you make about the hypotheses that the regression parameter 0 is equal to zero? e. How much of the variation in the sample values of number of days absent does the model you estimated in part (b) explain?
- Consider the following time series data: Construct a time series plot. What type of pattern exists in the data? Use a multiple regression model with dummy variables as follows to develop an equation to account for seasonal effects in the data: Qtr1 = 1 if quarter 1, 0 otherwise; Qtr2 = 1 if quarter 2. 0 otherwise; Qtr3 = 1 if quarter 3, 0 otherwise. Compute the quarterly forecasts for next year based on the model you developed in part (b). Use a multiple regression model to develop an equation to account for trend and seasonal effects in the data. Use the dummy variables you developed in part (b) to capture seasonal effects and create a variable t such that t = 1 for quarter 1 in year 1, t = 2 for quarter 2 in year 1, … t = 12 for quarter 4 in year 3. Compute the quarterly forecasts for next year based on the model you developed in part (d). Is the model you developed in part (b) or the model you developed in part (d) more effective? Justify your answer.If this was a BELO plan with a pay rate of $22.00 per hour and a maximum of 53 hours, how much would Overwood be paid for 48 hours?The managing director of a consulting group has the accompanying monthly data on total overhead costs and professional labor hours to bill to clients. Complete parts a through c. Click the icon to view the monthly data. a. Develop a simple linear regression model between billable hours and overhead costs. Overhead Costs = +xBillable Hours X Monthly Overhead Costs and Billable Hours Data (Round the constant to one decimal place as needed. Round the coefficient to four decimal places as needed. Do not include the $ symbol in your answers.) Overhead Costs Billable Hours 0 $315,000 3,000 $365,000 4,000 $395,000 5,000 $447,000 6,000 $530,000 7,000 $550,000 8,000
- The managing director of a consulting group has the accompanying monthly data on total overhead costs and professional labor hours to bill to clients. Complete parts a through c. Click the icon to view the monthly data. a. Develop a simple linear regression model between billable hours and overhead costs. Overhead Costs +(9) x Billable Hours (Round the constant to one decimal place as needed. Round the coefficient to four decimal places as needed. Do not include the $ symbol in your answers.) X Monthly Overhead Costs and Billable Hours Data Overhead Costs Billable Hours $315,000 3,000 $360,000 4,000 $385,000 5,000 $438,000 6,000 $520,000 7,000 $540,000 8,000 D Print DoneIn this task you are provided with an excel file with 2 spread sheets (Budgeted Rooms Revenue Sheet, Actual Rooms Revenue sheet) with the actual figures on the rooms for a given quarter. You are required to calculate the actual revenue that has been generated for each month in the given quarter based on the actual occupancy rate. Calculate the following details using the appropriate sheet as per the given instructions Budgeted Rooms Revenue Sheet Refer to the projected data sheet. In this sheet first calculate the total projected/forecasted revenue per room type for all 365 days. You are also required to calculate total projected/forecasted revenue per room type for each month for Jan, Feb and Mar. Calculate the total rooms for each month Calculate the Total Revenue for all room types for each month Calculate the total projected revenue for 3 months (Jan, Feb and Mar) Actual Rooms Revenue Sheet In this sheet you are provided with the Actual occupancy for each month. Calculate the…You are interested in saving for a trip when you graduate in three years. You can save $75 each of the next 36 months and earn 2.75% interest on your money. How much money would you have in your savings account in 36 months for your trip? ( Please reference the loan infromation in the "Task 5 Data " cells as the argument for your functions