Exactly 47.0 mL of 0.2 M HNO₂ are titrated with a 0.2 M NaOH solution. What is the pH at the equivalence point ?

At 25oC, 20% of a certain type of laser diodes have efficiency below 0.3 mW/mA. For five diodes, selected by simple random sampling from a large population of such diodes, find the probability of the following events.
(a) All five have efficiency above 0.3 at 25oC.
(b) Only the second diode selected has efficiency below 0.3 at 25oC. (c) Exactly one of the five diodes has efficiency below 0.3 at 25oC.

(d) Exactly two of the five diodes have efficiency below 0.3 at 25oC.

A research report claims that 20% of all individuals use Firefox to browse the web. A software company is trying to determine if the proportion of their users who use Firefox is significantly different from 0.2. In a sample of 200 of their users, 32 users stated that they used Firefox. Using this data, conduct the appropriate hypothesis test using a 0.05 level of significance.

a) What are the appropriate hypotheses?

H₀: p = 0.2 versus H_a: p < 0.2

H₀: p = 0.2 versus H_a: p > 0.2    

H₀: p = 0.2 versus H_a: p ? 0.2

H₀: ? = 0.2 versus H_a: ? > 0.2

b) What is the test statistic? Give your answer to four decimal places.  

c) What is the P-value for the test? Give your answer to four decimal places.  

d) What is the appropriate conclusion?

Conclude that the Firefox proportion is not 0.2 because the P-value is smaller than 0.05.

Conclude that the Firefox proportion is not 0.2 because the P-value is larger than 0.05.    

Fail to reject the claim that the Firefox proportion is 0.2 because the P-value is larger than 0.05.

Fail to reject the claim that the Firefox proportion is 0.2 because the P-value is smaller than 0.05.

Think about the last movie you saw in a movie theater. What aspects of the movie had international components in it? Are there more international elements included than compared to your favorite movie from 10 years ago?

An important quality characteristic used by the manufacturers of ABC asphalt shingles is the amount of moisture the shingles contain when they are packaged. Customers may feel that they have purchased a product lacking in quality if they find moisture and wet shingles inside the packaging.   In some cases, excessive moisture can cause the granules attached to the shingles for texture and colouring purposes to fall off the shingles resulting in appearance problems. To monitor the amount of moisture present, the company conducts moisture tests. A shingle is weighed and then dried. The shingle is then reweighed, and based on the amount of moisture taken out of the product, the pounds of moisture per 100 square feet is calculated. The company claims that the mean moisture content cannot be greater than 0.35 pound per 100 square feet.
The file (A & B shingles.csv) includes 36 measurements (in pounds per 100 square feet) for A shingles and 31 for B shingles.

3.1. For the A shingles, form the null and alternative hypothesis to test whether the population mean moisture content is less than 0.35 pound per 100 square feet.

3.2. For the B shingles, form the null and alternative hypothesis to test whether the population mean moisture content is less than 0.35 pound per 100 square feet.

3.3. Do you think that the population means for shingles A and B are equal?
Form the hypothesis and conduct the test of the hypothesis.
What assumption do you need to check before the test for equality of means is performed?

3.4. What assumption about the population distribution is needed in order to conduct the hypothesis tests above?

Please help solutions in Python.

Please find the required data

In a telephone conversation with a sales representative of a linen company, the manager of a hotel ordered $1,000 worth of sheets. Following the conversation, the manager wrote a memo to the file documenting the agreement, initialed it, and sent a copy to the sales representative. One of the linen company’s competitors learned of this contract and contacted the hotel to tell them that the sheets were poorly manufactured and that they should stop buying from the linen company and buy everything from the competitor. The hotel then cancels the contract and starts buying from the competitor.

The linen company’s sheets are not poorly manufactured. The linen company can sue both the competitor and the hotel for losses suffered, one for a tort and one for breach of contract, but the linen company is not allowed to recover twice for the same harm.

What is the tort that the linen company can sue for and who is the defendant?

Who should they sue for the breach of contract claim?

What damages would be recoverable from each defendant so that it would not be recovering the same damages twice?

Does the Statute of Frauds create a defense to the lawsuit against the hotel?

Why or why not?

Its a law question

Star Inn is a chain of hotels. The reservation system is uses a centralized reservation database. The database contains booking information on all hotels of Star Inn. The following is a description of the conceptual model of the hotel reservation database at Star Inn.

The database contains information about hotels, hotel rooms, customers, and reservation. A hotel can be identified by its identification number (hotel_id). It is also described by hotel_name, address and phone_no. Rooms are identified by room_no which is unique for a hotel. The same room_no may exist in different hotels of Star Inn. Rooms are also described by type and rate.

Customers are identified by customer_id and are described by name (customer_name), address (customer_address), and phone number (customer_phone). When a customer makes a reservation, he/she is asked to specify the hotel, the room type, the arrival date (arrival_date) and duration of stay (duration). A specific room is then booked for the customer. A customer can book the same room more than once. Therefore, a reservation is identified by a reservation number (reservation_no).

Please use Visible Analyst or any other CASE tool to draw the ERD.

• The following information is for Winter Break Hotel. Given the information, questions from #14 to #16.
o Average room selling price: $65
o Average variable cost per room: $17
o Annual total fixed costs: $450,000
o Sales goal (= Net Income) of the hotel this year: $5,000,000
o Number of rooms available per day: 400 rooms
o This hotel is open 365 days a year.

What is the occupancy percentage required to reach the sales goal? (Round to the second decimal place.)

A. 23.43%

B. 9.46%

C. 23.65%

D. 77.77%

For every $1 of sales, how much can this hotel use to pay on fixed costs or to generate profits?

A. $2.82

B. $.82

C. $.26

D. $.74

If this hotel experiences an increase in its fixed cost by $35,000 this year, how many additional rooms must be sold to absorb this increase? (Round up to the nearest whole number.)

A. 730 rooms

B. 21,722 rooms

C. 727 rooms

D. 11,667 rooms

Hubbart approach

The Pimlico Hotel is a 200-room hotel and it is projected to cost $15 million including land, building, equipment, and furniture and working capital. The hotel is financed with a $10 million loan at 8% interest rate. The owner’s investment in the property is $5 million. The owners desire a 16% return on investment. The hotel projects 80% occupancy rate and it will be open 365 days a year. The income tax rate is 40%. Room’s department direct expenses

are $10 per room sold.

The following are the fixed and undistributed expenses.

Depreciation expense $300,000

Amortization expense 100,000

Rent Expense 130,000

Administration and general 300,000

Marketing 200,000

Utility costs 200,000

Property Operations and Maintenance 120,000

Insurance 50,000

Property taxes 200,000

Other operated departments’ Income/losses

Food 150,000

Beverage 50,000

Telephone (50,000)

Additional information

Double occupancy 40%

Rate difference (spread) between double and single is $10.

Using the information above find the ADR and determine double rate and single rate for the Pimlico Hotel.