You are given the sample mean and the population standard deviation. Use this information to construct the​ 90% and​ 95% confidence intervals for the population mean. Interpret the results and compare the widths of the confidence intervals. If​ convenient, use technology to construct the confidence intervals. A random sample of 50 home theater systems has a mean price of ​$149.00. Assume the population standard deviation is ​$18.70.

Construct a​ 90% confidence interval for the population mean. The​ 90% confidence interval is ​( _____​, ______​). ​(Round to two decimal places as​ needed.)

Overview

For this program, add code to program 2 that will (potentially) allow for a discount to be applied to the cost of the tickets to the movie theater.

Basic Program Logic

The program should start the same as program 2 by asking the user for the number of tickets to purchase for adult and children.

The program should then ask the user if they have a discount coupon. This is a string value. A value of "Y" indicates the user does have a coupon. Any other value indicates the user does not have a coupon.

If the user does have a discount coupon, ask if the coupon is for a free adult ticket or free child ticket. This is also a string value. A value of "A" is for a free adult ticket which means that a discount of 11.25 should be applied to total purchase. A value of "C" is for a free child ticket which means that a discount of 4.50 should be applied to the total purchase. Any other value is invalid which means that no discount should be applied to the total purchase. If an invalid discount type is selected, display a message to the user that their discount type is not valid and that no discount will be applied.

Calculate the user's total purchase amount, making sure to apply the appropriate discount amount (11.25, 4.50, or 0.00).

Finally, display the results similar to program 2: the number of adult tickets that were purchased, the number of child tickets that were purchased, the discount amount (if a discount was applied to the purchase), and the total purchase amount. The discount amount should ONLY be displayed if the user indicated they had a discount coupon. As with program 2, use setw to line up the last digit of the displayed values and setprecision to display 2 digits after the decimal point.

Program Requirements

1. At the top of the C++ source code, include a documentation box that resembles the one from programs 1 and 2.

2. The dollar amounts should all be displayed with exactly 2 digits after the decimal point, including zeros.

3. The numeric values read in from the user should all be integer values. The discount values read in from the user should all be string values. Use meaningful variable names.

4. Make sure and test the program with values other than those in the sample output.

Output

A few runs of the program should produce the following results:

Run 1

Enter the number of adult tickets that are being purchased: 2
Enter the number of child tickets that are being purchased: 5

Do you have a discount coupon (Y for yes)? Y

Is the discount for an adult or child's ticket (A for adult, C for child)? C


************************************
           Theater Sale
************************************
Number of adult tickets:           2
Number of child tickets:           5

Discount:                       4.50

Total purchase:                40.50

Run 2

Enter the number of adult tickets that are being purchased: 1
Enter the number of child tickets that are being purchased: 2

Do you have a discount coupon (Y for yes)? n


************************************
           Theater Sale
************************************
Number of adult tickets:           1
Number of child tickets:           2

Total purchase:                20.25

Run 3

Enter the number of adult tickets that are being purchased: 2
Enter the number of child tickets that are being purchased: 2

Do you have a discount coupon (Y for yes)? Y

Is the discount for an adult or child's ticket (A for adult, C for child)? S
Error: S is not a valid discount type. No discount will be applied

************************************
           Theater Sale
************************************
Number of adult tickets:           2
Number of child tickets:           2

Discount:                       0.00

Total purchase:                31.50

Run 4

Enter the number of adult tickets that are being purchased: 4
Enter the number of child tickets that are being purchased: 2

Do you have a discount coupon (Y for yes)? Y

Is the discount for an adult or child's ticket (A for adult, C for child)? A


************************************
           Theater Sale
************************************
Number of adult tickets:           4
Number of child tickets:           2

Discount:                      11.25

Total purchase:                42.75

Customers arrive at a movie theater at the advertised movie time only to find that they have to sit through several previews and prepreview ads before the movie starts. Many complain that the time devoted to previews is too long. A preliminary sample conducted by The Wall Street Journal showed that the standard deviation of the amount of time devoted to previews was four minutes. Use that as a planning value for the standard deviation in answering the following questions. a. If we want to estimate the population mean time for previews at movie theaters with a margin of error of 69 seconds, what sample size should be used? Assume 95% confidence. b. If we want to estimate the population mean time for previews at movie theaters with a margin of error of 1 minute, what sample size should be used? Assume 95% confidence.

Customers arrive at a movie theater at the advertised movie time only to find that they have to sit through several previews and prepreview ads before the movie starts. Many complain that the time devoted to previews is too long. A preliminary sample conducted by The Wall Street Journal showed that the standard deviation of the amount of time devoted to previews was four minutes. Use that as a planning value for the standard deviation in answering the following questions.

a. If we want to estimate the population mean time for previews at movie theaters with a margin of error of 69 seconds, what sample size should be used? Assume 95% confidence.

b. If we want to estimate the population mean time for previews at movie theaters with a margin of error of 1 minute, what sample size should be used? Assume 95% confidence.

The Starr Theater, owned by Meg Vargo, will begin operations in March. The Starr will be unique in that it will show only triple features of sequential theme movies. As of March 1, the ledger of Starr showed: Cash $2,950, Land $22,000, Buildings (concession stand, projection room, ticket booth, and screen) $10,000, Equipment $10,000, Accounts Payable $6,000, and Owner’s Capital $38,950. During the month of March, the following events and transactions occurred.

1.) Enter the beginning balances in the ledger.

2.) Journalize the March transactions. Starr records admission revenue as service revenue, rental of the concession stand as rent revenue, and film rental expense as rent expense.(Credit account titles are automatically indented when the amount is entered. Do not indent manually. Record journal entries in the order presented in the problem. If no entry is required, select "No Entry" for the account titles and enter 0 for the amounts.)

3.) Post the March journal entries to the ledger. (Post entries in the order of journal entries presented in the previous question.)

The theater of the city of Mayaguez has a popular concert in schedule and has decided to sells tickets by phone. For that, it needs to decide how many operators to hire for the sale. On one hand, it doesn't want the customers to wait too long, but on the other hand the operators are expensive. The data the manager has collected from previous concerts is as follows.

Operators Wait Time

4 385

5    335

6 383

7 344

8 288

Specifically, we want to find whether there is a significant linear correlation between the variables.

In this case, if management wants a lower waiting time, it would to need to have:

The theater of the city of Mayaguez has a popular concert in schedule and has decided to sells tickets by phone. For that, it needs to decide how many operators to hire for the sale. On one hand, it doesn't want the customers to wait too long, but on the other hand the operators are expensive. The data the manager has collected from previous concerts is as follows.

Specifically, we want to find whether there is a significant linear correlation between the variables

The new manager of a theater plans to offer discounts to increase the number of tickets sold for shows on Monday and Tuesday evenings. She uses a sample of 30 weeks to record the number of tickets sold on these two days. A portion of the data is shown in the accompanying table.  

a) Using excel Produce a 95% CI for the mean number of tickets sold for shows on Monday evening, using the format discussed in class. The dataset descriptions for this question may be inadequate. As you answer this question 'warn" about important missing information in your conditions assessment. Once you have completed your conditions assessment clearly list any assumptions that need to be made. After you list the required assumptions – if any - presume that everything is OK, and answer the rest of the question.

b) Is there any evidence that the population mean differs from 200 for shows on Monday evenings?

The Hart Theater, owned by Paul Hart, will begin operations in March. The Hart will be unique in that it will show only triple features of sequential theme movies. As of March 1, the ledger of Hart showed No. 101 Cash $8,000, No. 140 Land $22,000, No. 145 Buildings (concession stand, projection room, ticket booth, and screen) $10,000, No. 157 Equipment $8,000, No. 201 Accounts Payable $6,000, and No. 311 Common Stock $42,000. During the month of March, the following events and transactions occurred.

Mar. 2     Rented the three Indiana Jones movies to be shown for the first 3 weeks of March. The film rental was $3,500; $1,000 was paid in cash and $2,500 will be paid on March 10.

         3     Ordered the Lord of the Rings movies to be shown the last 10 days of March. It will cost $260 per night.

         9     Received $4,000 cash from admissions.

         10     Paid balance due on Indiana Jones movies rental and $900 on March 1 accounts payable.

         11     Hart Theater contracted with D. Sarazan to operate the concession stand. Sarazan is to pay 15% of gross concession receipts (payable monthly) for the right to operate the concession stand.

         12     Paid advertising expenses $450.

         20     Received $5,400 cash from customers for admissions.

         20     Received the Lord of Rings movies and paid the rental fee of $2,600.

         31     Paid salaries of $2,500.

         31     Received statement from D. Sarazan showing gross receipts from concessions of $5,000 and the balance due to Hart Theater of $750 ($5,000 3 15%) for March. Sarazan paid one-half the balance due and will remit the remainder on April 5.

         31     Received $9,000 cash from customers for admissions.

In addition to the accounts identified above, the chart of accounts includes No. 112 Accounts Receivable, No. 400 Service Revenue, No. 429 Rent Revenue, No. 610 Advertising Expense, No. 729 Rent Expense, and No. 726 Salaries and Wages Expense.

Instructions

(a) Enter the beginning balances in the ledger. Insert a check mark (ü) in the reference column of the ledger for the beginning balance.

(b) Journalize the March transactions.

(c) Post the March journal entries to the ledger. Assume that all entries are posted from page 1 of the journal.

(d) Prepare a trial balance on March 31, 2019.